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1. Combinatory Logic - Wikipedia, The Free Encyclopedia Retrieved from http//en.wikipedia.org/wiki/Combinatory_Logic . Categories Lambda calculus Logic in computer science Combinatory logic http://en.wikipedia.org/wiki/Combinatory_logic

var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wikipedia"; Combinatory logic From Wikipedia, the free encyclopedia Jump to: navigation search Not to be confused with combinational logic , a topic in digital electronics. Combinatory logic is a notation introduced by Moses Sch¶nfinkel and Haskell Curry to eliminate the need for variables in mathematical logic . It has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages . It is based on combinators . A combinator is a higher-order function which, for defining a result from its arguments, solely use function application and earlier defined combinators. Contents Combinatory logic in mathematics Combinatory logic in computing Summary of the lambda calculus Combinatory calculi ... edit Combinatory logic in mathematics Combinatory logic was originally intended as a 'pre-logic' that would clarify the role of quantified variables in logic, essentially by eliminating them. Another way of eliminating quantified variables is Willard Van Orman Quine 's predicate functors . While most systems of combinatory logic exceed the expressive power of first-order logic The original inventor of combinatory logic, Sch¶nfinkel, published nothing on combinatory logic after his original

2. Combinatory Logic - English Dictionary english to english dictionary containing references. http://www.online-dictionary.biz/english/vocabulary/reference/combinatory_logic.

var language=0; var from='english'; var to='english'; Online Dictionary Chinese to English English to Chinese ... French to English German to English to Japanese Italian to English Japanese to English to German Latin to English Russian to English ... Swedish to English If you can't find the translation you need, try our free translation Combinatory Logic - English Dictionary 1. combinatory logic A system for reducing the operational notation of logic, mathematics or a functional language to a sequence of modifications to the input data structure. First introduced in the 1920's by Schoenfinkel. Re-introduced independently by Haskell Curry in the late 1920's who quickly learned of Schoenfinkel's work after he had the idea. Curry is really responsible for most of the development, at least up until work with Feys in 1958. See combinator. A B C D ... Z All content on this website is property of LocalTranslation unless stated otherwise. document.getElementById("generationTime").innerHTML='('+(0.53)+' seconds)'; document.getElementById("generationTime").innerHTML='('+(0.53)+' seconds)';

3. Combinatory Logic - Wikipedia Combinatory logic. Combinatory logic is a simplified model of computation, used in computability theory (the study of what can be computed) and proof theory http://facetroughgemstones.com/wikipedia/co/Combinatory_logic.html

Contents Combinatory logic Combinatory logic is a simplified model of computation , used in computability theory (the study of what can be computed) and proof theory (the study of what can be mathematically proven .) The theory, despite its simplicity, captures many essential features of the nature of computation. Combinatory logic is a variation of the Lambda calculus , in which lambda expressions (used to allow for functional abstraction) are replaced by a limited set of primitive functions. Note that the "combinatorial logic" used in electronics is different; see combinatorial logic (electronics) Table of contents showTocToggle("show","hide") 1 Summary of the Lambda Calculus 2 Combinatory Calculi 2.1 Combinatory Terms 2.2 Examples of Combinators ... 6 References Summary of the Lambda Calculus For complete details about the lambda calculus , see the article under that head. We will summarize here. The lambda calculus is concerned with objects called lambda-terms , which are strings of symbols of one of the following forms: v where v is a variable name drawn from a predefined infinite set of variable names, and

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http://www.haskell.org/haskellwiki/Combinatory_logic http://www.haskell.org/haskellwiki/Combinatory_logic

5. Require Export ZArith. Require Export List. Require Export Arith End Trying_auto. End bad_proof_for_auto. Section Combinatory_Logic. End Combinatory_Logic. Theorem example_for_subst forall (a b c dnat), http://www.labri.fr/perso/casteran/CoqArt/autotac/SRC/chap7.v

Require Export ZArith. Require Export List. Require Export Arith. Ltac caseEq f := generalize (refl_equal f); pattern f at -1; case f. Section bad_proof_example_for_Induction1. Theorem le_plus_minus' : forall n m:nat, m n = m+(n-m). Proof. intros n m H. induction n. rewrite <- le_n_O_eq with (1 := H); simpl; trivial. Abort. End bad_proof_example_for_Induction1. Theorem simpl_pattern_example : 3*3 + 3*3 = 18. Proof. simpl (3*3) at 2. lazy beta iota zeta delta [mult]. simpl. trivial. Qed. Theorem lazy_example : forall n:nat, (S n) + = S n. Proof. intros n; lazy beta iota zeta delta. fold plus. (* attendre un commit *) rewrite plus_0_r; reflexivity. Qed. Hint Extern 4 (_ le n m. Proof. intros n m H. auto with le_base. Qed. Lemma unprovable_le : forall n m:nat, n <= m. Proof. Time auto with arith. Time auto with le_base arith. Abort. Section bad_proof_for_auto. Section Trying_auto. Variable l1 : forall n m:nat, S n n <= m. Theorem unprovable_le2 : forall n m:nat, n <= y <= t x = t. Proof. intros x y z t H; omega. Qed. Theorem omega_example2 : forall x y:Z

6. Discrete Mathematics/Combinatory Logic - Wikibooks, Collection Of Open-content T Retrieved from http//en.wikibooks.org/wiki/Discrete_mathematics/Combinatory_Logic . Subject Discrete mathematics (book) http://en.wikibooks.org/wiki/Discrete_mathematics/Combinatory_logic

var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wikibooks"; Discrete mathematics/Combinatory logic From Wikibooks, the open-content textbooks collection Discrete mathematics Jump to: navigation search Two of the basic principles of combinatory logic in discrete mathematics are the Sum principle and the Multiplication principle. The sum principle holds true in a given partitioned set X where partition Xi intersected with Xj is the empty set unless i is equal to j. The principle states that in such a partitioned set, the sum of the elements of each partition is equal to the number of elements in the set X. Retrieved from " http://en.wikibooks.org/wiki/Discrete_mathematics/Combinatory_logic Subject Discrete mathematics (book) Views Module Discussion Edit this page History Personal tools Log in / create account Navigation Main Page Help Cookbook Wikijunior ... Donations Community Bulletin Board Community portal Reading room Help cleanup ... Contact us Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 21:14, 12 October 2007. All text is available under the terms of the GNU Free Documentation License (see for details).

7. Combinatory Logic - Wiktionary Retrieved from http//en.wiktionary.org/wiki/Combinatory_Logic . Categories English nouns Computer Science. Views. Article Discussion Edit History http://en.wiktionary.org/wiki/combinatory_logic

var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wiktionary"; combinatory logic From Wiktionary Jump to: navigation search edit English Wikipedia has an article on: Combinatory logic Wikipedia edit Noun Singular combinatory logic Plural uncountable combinatory logic uncountable computer science Model of computation based on combinators edit Translations Croatian: kombinatorna logika (hr) f Retrieved from " http://en.wiktionary.org/wiki/combinatory_logic Categories English nouns Computer Science Views Article Discussion Edit History Personal tools Log in / create account Navigation Main Page Community portal Requested entries Recent changes ... Contact us Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified 14:47, 13 November 2007. Content is available under GNU Free Documentation License About Wiktionary

8. Trying To Remember .... - Object Mix lambda calculus would also lead there. See http//en.wikipedia. org/wiki/Combinatory_Logic . Digg this Post! Add Post to del.icio http://objectmix.com/scheme/186200-trying-remember.html

Object Mix Trying to remember .... This is a discussion on Trying to remember .... within the Scheme forums, part of the Programming Languages category; I was talking to a friend earlier today, and we ended up talking about s-expressions, scheme, lisp etc. I ... Object Mix Programming Languages Scheme Trying to remember .... User Name Remember Me? Password Home Register FAQ Calendar ... Display Modes 05-02-2007, 04:55 AM Trying to remember .... I was talking to a friend earlier today, and we ended up talking about s-expressions, scheme, lisp etc. I remember reading in a book, a few years ago, that the basic operations of scheme and lisp could be reduced to a very small (four or so) basic operators. These were represented as single letters (in capitals). I distinctly remember this as I wrote a simple (non-lambda) s-expression parser in Java about the same time. For the life of me I cannot remember what these letters were or what operations they represented. Google has failed me, and as for the book - its somewhere in the deepest regions of my parents' garage.

9. Chaitin's Construction/Combinatory Logic - HaskellWiki Retrieved from http//www.haskell.org/haskellwiki/Chaitin%27s_construction/ Combinatory_Logic . This page has been accessed 474 times. http://www.haskell.org/haskellwiki/Chaitin's_construction/Combinatory_logic

Haskell Wiki community Recent changes Random page ... Special pages Not logged in Log in Help Edit this page Discuss this page ... Related changes Chaitin's construction/Combinatory logic Chaitin's construction Categories Theoretical foundations Contents CL CL extension Base symbol Combinatory logic term modules edit 1 CL module CL CL, k, s, apply where import Tree Tree Leaf, Branch import BaseSymbol BaseSymbol, kay, ess type CL = Tree BaseSymbol k, s CL k = Leaf kay s = Leaf ess apply CL CL CL apply = Branch edit 2 CL extension module CLExt where import CL CL, apply import Control. Monad Monad Monad m = m CL m CL m CL = liftM2 apply edit 3 Base symbol module BaseSymbol BaseSymbol, kay, ess where data BaseSymbol kay = K ess = S Retrieved from " http://www.haskell.org/haskellwiki/Chaitin%27s_construction/Combinatory_logic This page has been accessed 506 times. This page was last modified 14:34, 4 August 2006. Recent content is available under a simple permissive license Recent content is available under a simple permissive license

10. Combinatory Logic - Esolang Online course in combinatory logic using Scheme (Wayback). Retrieved from http//www.esolangs.org/wiki/Combinatory_Logic . Category Computational models http://www.esolangs.org/wiki/Combinatory_logic

Combinatory logic From Esolang Jump to: navigation search Combinatory logic is a model by which logical statements can be described as a combination of a small number of primitive elements called combinators . Each combinator is like a function or lambda abstraction, but without any free variables. A "sentence" in combinatory logic is called a combinatory term , and is composed of combinators, free variables, and applications of one combinatory term to another. Combinatory logic can capture the meaning of any arithmetic or logical statement (and by extension, any non-interactive computer program), making it a Turing-complete computational model. It is often described and/or implemented in terms of rewriting (of graphs, trees, or terms). Contents Syntax Combinators Example See also ... edit Syntax The syntax commonly used for combinators is like that of the lambda calculus : each combinator only takes one argument (but may yield another combinator which will consume further arguments), application associates to the left, and parentheses are only used for disambiguation, not to delimit an argument list.

11. Chaitin's Construction/Combinatory Logic - HaskellWiki Retrieved from http//haskell.cs.yale.edu/haskellwiki/Chaitin%27s_construction/ Combinatory_Logic . This page has been accessed 360 times. http://haskell.cs.yale.edu/haskellwiki/Chaitin's_construction/Combinatory_logic

Haskell Wiki community Recent changes Random page ... Special pages Not logged in Log in Help Edit this page Discuss this page ... Related changes Chaitin's construction/Combinatory logic Chaitin's construction Categories Theoretical foundations Contents CL CL extension Base symbol Combinatory logic term modules edit 1 CL module CL CL, k, s, apply where import Tree Tree Leaf, Branch import BaseSymbol BaseSymbol, kay, ess type CL = Tree BaseSymbol k, s CL k = Leaf kay s = Leaf ess apply CL CL CL apply = Branch edit 2 CL extension module CLExt where import CL CL, apply import Control. Monad Monad Monad m = m CL m CL m CL = liftM2 apply edit 3 Base symbol module BaseSymbol BaseSymbol, kay, ess where data BaseSymbol kay = K ess = S Retrieved from " http://haskell.cs.yale.edu/haskellwiki/Chaitin%27s_construction/Combinatory_logic This page has been accessed 507 times. This page was last modified 14:34, 4 August 2006. Recent content is available under a simple permissive license Recent content is available under a simple permissive license

12. Talk:Combinatory Logic - Indopedia, The Indological Knowledgebase Retrieved from http//indopedia.org/TalkCombinatory_logic.html . This page has been accessed 35 times. This page was last modified 0003, http://indopedia.org/Talk:Combinatory_logic.html

Indopedia Main Page FORUM Help ... Log in The Indology CMS Printable version Wikipedia Article Talk:Combinatory logic ज्ञानकोश: - The Indological Knowledgebase An interesting start. I picked this up from the comment in Lambda calculus Are you going to do supercombinators I had hoped that someone more familiar with compiler construction would complete that part of the 'Applications' section and discuss supercombinators in the process. Dominus 20:04 Nov 23, 2002 (UTC)) Also, related topics might include graph reduction machines. User:David Martland Is this the same subject as what is called "combinatory" logic? "Combinatorial" usually means "pertaining to combinatorics"; is the same meaning intended here? Mike Hardy The title is wrong: it should be "combinatory logic". See for instance . "Combinatorial logic" is often used for boolean logic used in circuit design. I am renaming. AxelBoldt 19:50 Nov 23, 2002 (UTC) Thanks. Dominus 20:04 Nov 23, 2002 (UTC) Possible error in Turner's T [ ] Transformation: In rules 7. and 8., terms and resp. remain untransformed. I think the correct rules are:

13. Computer Dictionary/combinatory Logic - 18DAO Reference Wiki - En.18dao.net Retrieved from http//en.18dao.net/Computer_Dictionary/Combinatory_Logic . Categories Computer Dictionary Computer Dictionary/logic http://en.18dao.net/Computer_Dictionary/combinatory_logic

Computer Dictionary/combinatory logic From En.18dao.net Computer Dictionary Jump to: navigation search Position: Main Page Network Category Computer Dictionary Content: A system for reducing the operational notation of logic , mathematics or a functional language to a sequence of modifications to the input data structure. First introduced in the 1920's by Schoenfinkel . Re-introduced independently by Haskell Curry in the late 1920's (who quickly learned of Schoenfinkel's work after he had the idea). Curry is really responsible for most of the development, at least up until work with Feys in 1958. See combinator Interaction Error Correction Recommendation Information ... More Search Using Google to search inside this website “ Computer Dictionary/combinatory logic ” and outside this website “ Computer Dictionary/combinatory logic Retrieved from " http://en.18dao.net/Computer_Dictionary/combinatory_logic Categories Computer Dictionary Computer Dictionary/logic Web en.18dao.net Views Article Discussion View source History Personal tools Log in / create account Navigation Main Page Category Life Category Study Category Work ... Category Finance Wiki Community portal Current events Recent changes Random page ... Edit Manual Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page has been accessed 18 times.

14. - Retrieved from http//wikitionary.biz/Combinatory_Logic . Categories English nouns Computer Science. Views. Article; Discussion; Edit; History http://wikitionary.biz/index.php?title=combinatory_logic

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Free Registration Download Engineering Toolbar GlobalSpec Home Find: Advanced Search >> The Engineering Web Part Number Search Engineering News Application Notes Material Properties Patents Standards changeSearchInfo('products', true, null); Welcome to GlobalSpec! We found this content for: combinatory logic Click on a category to narrow your results. Product-Centric E-Newsletters Receive the latest news, trends, and technology with GlobalSpec's e-newsletters - FREE. ( See Titles All Part Number Search Engineering News ... Standards Product Categories for combinatory logic Logic Analyzers (56 companies) Logic analyzers are used to characterize and debug hardware, design and test firmware and software, and perform synthesis integration. Learn more about Logic Analyzers Programmable ... Devices (PLD (135 companies) Programmable logic devices (PLD) are designed with configurable logic and flip-flops linked together with programmable interconnect. PLDs provide specific functions, including device-to-device interfacing, data communication, signal processing, data display, timing and control operations, and almost every other function a system must perform. Programmable logic devices (PLD) are designed with configurable logic and flip-flops linked together with programmable interconnect. PLDs provide specific functions, including device-to-device interfacing, data communication, signal processing.

18. Wiki Combinatory Logic Wiki Combinatory logic. Contents 1. Combinatory logic in mathematics 2. Combinatory logic in computing 3. Summary of the lambda calculus http://wapedia.mobi/en/Combinatory_logic

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19. Combinatory Logic | English | Dictionary & Translation By Babylon combinatory logic. Dictionary terms for combinatory logic in English, English definition for combinatory logic, Thesaurus and Translations of combinatory http://www.babylon.com/definition/combinatory_logic/English

combinatory logic Define combinatory logic Translate combinatory logic combinatory logic in Chinese combinatory logic in Spanish combinatory logic in German combinatory logic in Serbian ... Download this dictionary Combinatory logic This article is about a topic in mathematical logic and theoretical computer science, not to be confused with combinational logic , sometimes known as combinatorial logic, a topic in digital electronics . Combinatory logic is a notation introduced by Moses Sch¶nfinkel and Haskell Curry to eliminate the need for variables in mathematical logic . It has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages. It is based on combinators, which are higher-order functions that solely use function application and possibly other, earlier defined combinators for defining a result from their arguments. See more at Wikipedia.org... This article uses material from Wikipedia and is licensed under the GNU Free Documentation License FOLDOC Dictionary Download this dictionary combinatory logic A system for reducing the operational notation of logic , mathematics or a functional language to a sequence of modifications to the input data structure. First introduced in the 1920's by

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22. Combinatory Logic A selection of articles related to combinatory logic. http://www.experiencefestival.com/combinatory_logic

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24. Upto11.net - Wikipedia Article For Combinatory Logic This article is about a topic in theoretical computer science, and is not to be confused with combinatorial logic, a topic in electronics. http://www.upto11.net/generic_wiki.php?q=combinatory_logic

25. Good Book On Combinatory Logic - Sci.logic | Google Groups http//cs.wwc.edu/~aabyan/LN/PL/book/node109.html skioptim http//en.wikipedia.org/wiki/Combinatory_Logic Combinators_B.2C_C http://groups.google.gy/group/sci.logic/msg/9ec94648f2aaca7d

Help Sign in sci.logic Discussions ... Subscribe to this group This is a Usenet group - learn more Message from discussion good book on combinatory logic The group you are posting to is a Usenet group . Messages posted to this group will make your email address visible to anyone on the Internet. Your reply message has not been sent. Your post was successful Jan Burse View profile More options Dec 16, 4:43 pm Newsgroups: sci.logic From: Date: Sun, 16 Dec 2007 21:43:12 +0100 Local: Sun, Dec 16 2007 4:43 pm Subject: Re: good book on combinatory logic Reply Reply to author Forward Print ... Find messages by this author translogi schrieb: > And that does "full" FOL in combinatory logic. (First order Logic If you do not involve set theory and when you are not interested in a proof theory, but only expressing formulas without variables. Then you can go along as follows: The SKI conversion needs only be applied to expressions of the form lambda x.t. Prime formulas do not have this form, so they stay as they are. Although they might include variables. These variables are later removed

26. Combinatory Logic Books Find the lowest price on new and used Combinatory logic Books. http://www.allbookstores.com/Combinatory_Logic.html

Search By: Keyword Title Author ISBN Browse: Choose a subject: Art Children's Books Christian Books History Gardening Horror Mystery Oprah Book Club Photography Reference Romance Science Science Fiction Sports Technology Travel Art Children's Books Christian Books History ... Subjects : Combinatory logic You may sort these results by title or by publication date 19 titles (showing 1-19) Coding, Cryptography And Combinatorics by Harald Niederreiter (Editor), Chaoping Xing (Editor), Ke-Qin Feng August 2004, Hardcover, 23rd edition List Price: $139.00 Coding, Cryptography And Combinatorics by Harald Niederreiter (Editor), Chaoping Xing (Editor), Ke-Qin Feng Ke-Qin Feng (Editor) June 2004, Hardcover List Price: $55.01 The Combinatory Programme by Erwin Engeler January 1995, Hardcover List Price: $103.00 The Combinatory Programme by Erwin Engeler January 1995, Book Combinatory Semantics by Dr. Jerzy Pogonowski January 1993, Book, 1st edition Computability in Combinatory Spaces : An Algebraic Generalization of Abstract First Order Computability by Dimiter Genchev Skordev March 1992, Hardcover

27. Definition Of "combinatory Logic" At Define.com Dictionary And Thesaurus 1 definition found From The Free Online Dictionary of Computing (27 SEP 03) foldoc combinatory logic A system for reducing the operational notation of http://define.com/combinatory_logic

definition found From The Free On-line Dictionary of Computing (27 SEP 03) [foldoc]: combinatory logic A system for reducing the operational notation logic mathematics ... sequence of modifications to the input data structure First ... late 1920's ( who quickly learned of Schoenfinkel 's work after he had the idea Curry is really ... responsible for most of the development at least up ... Feys in 1958. See combinator Definitions retrieved on December 24, 2007 at 07:09:33 GMT from local copies of the freely distributed DICT client/server software and databases

28. File: Combinatory.class.php - Combinatory Logic - PHP Classes http//en.wikipedia.org/wiki/Combinatory_Logic * * EXAMPLES http://www.phpclasses.org/browse/file/7541.html

: Network Member Forums File: Combinatory.class.php Search All class groups Latest entries Top 10 charts ... Recommend this page to a friend! Classes of Andrea Giammarchi Combinatory Logic Combinatory.class.php File Combinatory.class.php Role Class source Content type text/plain Description Core class Class Combinatory Logic Calculate and generate array element combinations Contents: Download * Class Combinatory * Creates and returns an Array with all possibilities for n vars with a k class. * For more info about Combinatory Logic, visits this site: * http://en.wikipedia.org/wiki/Combinatory_logic * EXAMPLES: * $container = Array( '3', '1', '2' ); * // METHODS TO CALCULATE: Pn - Pn(k) - Dn,k - D'n,k - Cn,k - C'n,k * echo count( $matches ); * var_dump( $matches ); * //OUTPUT * string(3) "3-1" * string(3) "3-2" * string(3) "1-2" * @author Andrea Giammarchi * @site www.3site.it * @date 13/10/2004 * @last_mod 22/01/2007 17:20 - tested with PHP 5.2 E_STRICT, removed few notices * @compatibility PHP4, 5, 5.2

29. AGIRI Forums Wikipedia http//en.wikipedia.org/wiki/Cognitive_psychology; Wikipedia http//en.wikipedia.org/wiki/Combinatory_Logic http://www.agiri.org/forum/index.php?act=Print&client=html&f=5&t=37

30. Good Book On Combinatory Logic - Sci.logic | Google Groups http//cs.wwc.edu/~aabyan/LN/PL/book/node109.html skioptim http//en.wikipedia.org/wiki/Combinatory_Logic Combinators_B.2C_C. Reply Reply to author Forward http://groups.google.co.zm/group/sci.logic/msg/9ec94648f2aaca7d

Help Sign in sci.logic Discussions ... Subscribe to this group This is a Usenet group - learn more Message from discussion good book on combinatory logic The group you are posting to is a Usenet group . Messages posted to this group will make your email address visible to anyone on the Internet. Your reply message has not been sent. Your post was successful Jan Burse View profile More options Dec 16, 10:43 pm Newsgroups: sci.logic From: Date: Sun, 16 Dec 2007 21:43:12 +0100 Local: Sun, Dec 16 2007 10:43 pm Subject: Re: good book on combinatory logic Reply Reply to author Forward Print ... Find messages by this author translogi schrieb: > And that does "full" FOL in combinatory logic. (First order Logic If you do not involve set theory and when you are not interested in a proof theory, but only expressing formulas without variables. Then you can go along as follows: The SKI conversion needs only be applied to expressions of the form lambda x.t. Prime formulas do not have this form, so they stay as they are. Although they might include variables. These variables are later removed

31. Scheme Programming Language :: Trying To Remember .... http//en.wikipedia.org/wiki/Combinatory_Logic . On May 2, 1008 am, Jussi Piitulainen jpiit@ling.helsinki.fi wrote. oPless writes http://www.megasolutions.net/scheme/Trying-to-remember_-64451.aspx

Home .Net Programming cSharp Home Sql Server Home ... MS Dynamics CRM 3.0 Scheme Programming Language Trying to remember .... I was talking to a friend earlier today, and we ended up talking about s-expressions, scheme, lisp etc. I remember reading in a book, a few years ago, that the basic operations of scheme and lisp could be reduced to a very small (four or so) basic operators. These were represented as single letters (in capitals). I distinctly remember this as I wrote a simple (non-lambda) s-expression parser in Java about the same time. For the life of me I cannot remember what these letters were or what operations they represented. Google has failed me, and as for the book - its somewhere in the deepest regions of my parents' garage. Could anyone please help me rediscover this info ? oPless writes: You may be thinking of S and K, which together with I are four or so. The keyword for search is "combinatory logic", though I suspect that "lambda calculus" would also lead there. See: http://en.wikipedia.org/wiki/Combinatory_logic

32. Note Stvn P Another Favorite Higher Order Function Of Mine Is if you really want to make your head spin, there is always http//en.wikipedia. org/wiki/Combinatory_Logic Combinatory_calculi combinators. http://www.perlmonks.org/?displaytype=xml;node_id=380554

33. Nabble - A One Combinator Basis For Cat! I figured it with help from http//en.wikipedia.org/wiki/Combinatory_Logic A flat onecombinator concatenative language would probably require a http://www.nabble.com/A-One-Combinator-Basis-for-Cat!-t2944527.html

Nabble.setVar("skin",null); Nabble.page = 'forum.ViewTopic'; A One Combinator Basis for Cat!

34. Haskell-2007-09-09 003205, mr_tenor , according to http//en.wikipedia.org/wiki/Combinatory_Logic, isn t the set of combinators equivalent to the set of higher order pure http://tuukka.iki.fi/tmp/haskell-2007-09-09.html

Experimental IRC log haskell-2007-09-09 Available formats: content-negotiated html turtle (see SIOC for the vocabulary) Back to channel and daily index: content-negotiated html turtle These logs are provided as an experiment in indexing discussions using IRCHub.py, Irc2RDF.hs, and SIOC. add an instance declaration for (Num [t]) In the expression: (+ 1) ([1 ... earnest, well, there's be brackets everywhere All that really needs to be said is that we'd rather write 'f a b c' to apply a function to three arguments as opposed to '((f a) b) c' a lot of functions in haskell take multiple parameters that way hm i didnt know this would happen ahh, gotcha. you could always build irc for fbsd :) anyway, a couple more points of syntax: the body of a lambda, a let/in, and suchlike other things extends as far to the right as it can. that's a useful one to remember. I mean I could implement one using a web server which I can do when I get ghc6.6 working newsham: true Network clipboard! ddarius: tell me more I'm not suggesting something. hpaste the thing you want to copypaste?

35. Comb - Meaning Of Word Combinatory_Logic Combinatory_Logic Combinatory_Logic/to_do Combinator_graph_reduction Combinatronic Combine Combine Combine,_Texas Combine,_TX http://wordsonline.org/Comb

Comb Online advertising plastic comb with a handle]] A comb is a device made of solid material, generally flat, always toothed, used for staightening and cleaning hair or other fibers. The etymology of the English word is extremely ancient, going straight back to Indo-European roots meaning "tooth", "toothed", "to bite", and found in ancient Greek language and Sanskrit . Combs are among the older tool s known to mankind, having been found in very refined forms already in settlements dating back to 5000 years ago in Iran Scythia n golden comb, 5th century B.C. ( Hermitage Museum kazoo . * Annoying people by making monotonous noises plinging repetitively at comb teeth of identical length and harmonic qualities. Boring as this may seem, it was the inspiration for a kind of comb with teeth of varying length, which eventually evolved in the carrillon, or music box. Combs are also a favorite spot for police investigators to collect hair and dandruff samples that can be used in ascertaining dead or living people's identities, as well as their state of health, toxicological profiles, and so forth. Sharing combs is a common source of parasite infections, as one user can leave a comb with plenty of eggs or even live parasites, facilitating the transmission of

36. P1020837 On Flickr - Photo Sharing! Click this icon to see all public photos tagged with math. Click this icon to see all public photos tagged with Combinatory_Logic http://www.flickr.com/photos/propella/475530641/

YAHOO.util.Event.addListener(window, 'load', F._window_onload); YAHOO.util.Event.addListener(window, 'resize', F._window_onresize); YAHOO.util.Event.addListener(window, 'blur', F._window_onblur); YAHOO.util.Event.addListener(window, 'focus', F._window_onfocus); YAHOO.util.Event.addListener(window, 'unload', F._window_onunload); You aren't signed in Sign In Help Home The Tour ... propella's Photos To take full advantage of Flickr, you should use a JavaScript-enabled browser and install the latest version of the Macromedia Flash Player F.decorate(_ge('button_bar'), F._photo_button_bar).bar_go_go_go(475530641, 0); F.decorate(_ge('photo_notes'), F._photo_notes).notes_go_go_go(475530641, 'http://farm1.static.flickr.com/198/475530641_65c391cdb8_t.jpg', '3.1444'); View propella's map Taken in (See more photos here Would you like to comment? Sign up for a free account, or sign in (if you're already a member). Uploaded on April 28, 2007

37. Wikiseek - Ultra en.wikipedia.org/wiki/Combinatory_Logic edit article. Tell a friend about this page Bookmark with del. Previous 1 2 3 4 5 6 7 8 9 10 11 Next http://www.wikiseek.com/results.php?q=Combinatory topology

38. XSLT And The Lambda Calculus,Algorithms,Other Topics / Algorithms http//en2.wikipedia.org/wiki/Combinatory_Logic. http//en2.wikipedia. org/wiki/Lambda_calculus. 472 byte By pmuurray@bigpond.coma at 20079-21 213348 http://www.codefund.com/48/xslt-and-the-lambda-calculus-482428.shtm

39. Re: Turing Vs. Godel (Newbie Question) what algorithm is it executing? We have synthesised the S combinator en.wikipedia.org/wiki/Combinatory_Logic Alan Smaill http://www.archivum.info/sci.logic/2006-10/msg00501.html

sci.logic Top All Lists Date Enter your search terms Submit search form Web www.archivum.info Thread Re: Turing vs. Godel (Newbie Question) from [ Alan Smaill Subject Re: Turing vs. Godel (Newbie Question) From Date Fri, 20 Oct 2006 00:50:35 +0100 Newsgroups sci.logic sci.math Alan Smaill wrote: > Here the "~" are used instead of variables where the variable does This is not standard lambda calculus syntax. What is the above program supposed to be doing - what algorithm is it executing? We have synthesised the S combinator en.wikipedia.org/wiki/Combinatory_logic Alan Smaill More with this subject... Current Thread Re: Turing vs. Godel (Newbie Question) (continued) Re: Turing vs. Godel (Newbie Question) Charlie-Boo Re: Turing vs. Godel (Newbie Question) Alan Smaill Re: Turing vs. Godel (Newbie Question) Charlie-Boo Message not available Message not available Re: Turing vs. Godel (Newbie Question) Alan Smaill Re: Turing vs. Godel (Newbie Question) Charlie-Boo Re: Turing vs. Godel (Newbie Question) Alan Smaill Re: Turing vs. Godel (Newbie Question)

40. XSLT And The Lambda Calculus,Algorithms,Other Topics / Algorithms http//en2.wikipedia.org/wiki/Combinatory_Logic. http//en2.wikipedia.org/wiki/Lambda_calculus. REXSLT and the lambda calculus http://programmefund.com/48/xslt-and-the-lambda-calculus-482428.shtm

Codefund.com -Java technology collaboration happens. It's a new central meeting place for developers and Java technology enthusiasts to collaborate on projects, share ideas... Codefund.com Log in Join in New topic! Home ... Web Directory Java Search Submit search form Other Topics Consumer and Commerce Java ME Technologies Family site Sun Java, JSP and J2EE technology programming forums, software downloads, jobs and tutorials programmefund.com - developerWorks:Java technology site Java Forums and Discussion Groups Java Programmer Certification, SCJP FAQ, Tutorial, Mock Exam,Demo Applets, Syllabus Message Board,training ... Reply XSLT and the lambda calculus Posted by pmuurray@bigpond.coma at 2007-7-16 1:52:02 Java Sponsored Links Had an idea this morning, regarding how to get a xslt stylesheet to handle multiple input documents. Just make a stylesheet that takes the first document and produces from it a second stylesheet, which is then used on the second document. Very LISP-y. One could probably build XSLT stylesheets that do all the operations in combinatory logic. See http://en2.wikipedia.org/wiki/Combinatory_logic

41. Good Book On Combinatory Logic - Sci.logic | Google Discussiegroepen Translate this page http//en.wikipedia.org/wiki/Combinatory_Logic Combinators_B.2C_C Beantwoorden Auteur beantwoorden Doorsturen. Je moet je aanmelden voordat je berichten http://groups.google.nl/group/sci.logic/msg/9ec94648f2aaca7d

Help Aanmelden sci.logic Discussies ... Aanmelden bij deze groep Dit is een Usenet-groep - meer informatie Bericht van good book on combinatory logic -discussie De groep waarnaar je een bericht verzendt, is een Usenet-groep . Berichten die je in deze groep verzendt, zijn zichtbaar voor iedereen op het Internet Je antwoord is niet verzonden. Uw bericht is geplaatst Jan Burse Profiel weergeven Meer opties 16 dec, 21:43 Nieuwsgroepen: sci.logic Van: Datum: Sun, 16 Dec 2007 21:43:12 +0100 Lokaal: zo 16 dec 2007 21:43 Onderwerp: Re: good book on combinatory logic Beantwoorden Auteur beantwoorden Doorsturen Afdrukken ... Berichten van deze auteur zoeken translogi schrieb: > And that does "full" FOL in combinatory logic. (First order Logic If you do not involve set theory and when you are not interested in a proof theory, but only expressing formulas without variables. Then you can go along as follows: The SKI conversion needs only be applied to expressions of the form lambda x.t. Prime formulas do not have this form, so they stay as they are. Although they might include

42. Combinatory_logic Information - Online Prescription Medication Directory Combinatory_Logic Information, Learn About Combinatory_Logic, Combinatory_Logic Forums, How to Take Combinatory_Logic, Combinatory_Logic Side Effects, http://www.prescriptiondrug-info.com/drug_information_online.asp?title=Combinato

43. Pictures Of Computation And Grammar The Lm-diagram The Lm Research into http//en.wikipedia.org/wiki/Combinatory_Logic combinators, supercombinators and graph-reduction has shown that extremely simple rewriting http://svn.dsource.org/projects/languagemachine/trunk/languagemachine/src/web/pi

''f(x)'' ''f(g(x))'' ''f(g(x),h(y))'' the function ''f(3)'' where ''f(1) = 1'', ''f(0) = 1'', and ''f(x) = x * f(x-1)''. <- subject; 'cat' <- noun; ' ' <- subject; 'cat' <- noun; ' ' generalised nesting left recursion right recursion central recursion as applied to a deeply bracketed input something to nothing - darker elements are recognised and ignored something from nothing - darker elements have come 'out of thin air' variable scope for references to "A" from recognition and substitution phases

44. Good Book On Combinatory Logic http//cs.wwc.edu/~aabyan/LN/PL/book/node109.html skioptim http//en.wikipedia.org/wiki/Combinatory_Logic Combinators_B.2C_C http://www.groupsrv.com/science/post-2530134.html

Main Page Report this Page Enter your search terms Submit search form Web GroupSrv.com Loading.. Science Forum Index Logic Forum Page of Author Message translogi Posted: Sat Dec 08, 2007 2:42 am Guest Does anybody know a simple book on combinatory logic? I read Smullyans "how to mock a mockingbird" is interesting but is a bit to much about combinators and not a lot about where it is good for or how you can use it. Or is the subject matter just to difficult for an simple book? Am primarily interested how to "simulate" First order logic (predicate logic with relations / FOL) in this logic. (smullyan at the end of his book goes into arithmetic but i am loking for FOL) Thanks Back to top translogi Posted: Sun Dec 09, 2007 2:39 am Guest On Dec 9, 1:28 am, Jack Campin - bogus address Quote: Does anybody know a simple book on combinatory logic? I read Smullyans "how to mock a mockingbird" is interesting but is a bit to much about combinators and not a lot about where it is good for or how you can use it. Or is the subject matter just to difficult for an simple book?

45. Archive.netbsd.se Also I had a conversation with someone who pointed out that it s well known in combinatory logic. http//en.wikipedia.org/wiki/Combinatory_Logic has a http://archive.netbsd.se/?ml=haskell-cafe&a=2006-05&t=2580003

46. はてなブックマーク - Combinatory Logic - Has Translate this page URL http//haskell.org/haskellwiki/Combinatory_Logic; haskell.org ; ; C++ CL DNA ENDS Haskell http://b.hatena.ne.jp/entry/4770865

Combinatory logic - HaskellWiki available on this page, just roll the page bellow that big colored photos). The book begins with the limits of mathematics: G¶del's undecidable, Turing's uncompatiblity, Chaitin's randomness); but (or exactly that's why?) it ends with writing on the future and beuty of science. I must read Autopoesis and The Tree of Knowledge carefully from Maturana and Varela to say if their topics are releted to here. See table of contents in English annotations on Autopoesis (in English) on The Tree of Knowledge (in Hu... Combinatory logic - HaskellWiki URL： http://haskell.org/haskellwiki/Combinatory_logic haskell.org の注目エントリー C++ CL ... haskell

47. Combinatory_logic - Ogleo Search http//haskell.org/haskellwiki/Combinatory_Logic .. Retrieved from http//en.wikipedia.org/wiki/Combinatory_Logic . Categories Lambda calculus Logic http://www.ogleo.com/search/ogleo-Combinatory_logic

Ogleo Tell A Friend Traffic Details Web ... Images All Web QA Dictionary Encyclopedia Images Web Results of about for Combinatory logic Combinatory logic ... - Wikipedia, the free encyclopedia Combinatory logic is a notation introduced by Moses Sch¶nfinkel and Haskell ... ( 1972) survey the early history of combinatory logic http://en.wikipedia.org/wiki/ Combinatory logic The Lambda-calculus, Combinatory Logic , and Type Systems Research on illative combinatory logic s has been continued by Curry's students, ... calculi and logic s which are obtainable from pure combinatory logic by one or ... http://www.rbjones.com/rbjpub/ logic /cl/index.htm PlanetMath: combinatory logic Combinatory logic and lambda calculus are equivalent. ... This is version 2 of combinatory logic , born on 2002-03-09, modified 2002-05-03. ... http://planetmath.org/encyclopedia/ Combinatory Logic .html Combinatory logic - HaskellWiki Lot of interpreters at John's Lambda Calculus and Combinatory Logic Playground. ... David Madore's combinatory logic programming language Unlambda ... http://haskell.org/haskellwiki/

48. RoR Wiki ËÝÌõ Wiki - Create Translate this page http//en.wikipedia.org/wiki/Combinatory_Logic http//en.wikipedia. org/wiki/SKI_combinator_calculus http//openlab.jp/skk/SKK.html; http://techno.hippy.jp/rorwiki/?Rails¤Î¥½¡¼¥¹¤òÆɤó¤Ç¤ß¤ë/Ob

49. Re: [cs-lisp] Re: Lambda Calculus ilgili oldugunu ve yüzeysel bilgi verdigini gördügüm (yüzeysel burada kötü anlamda söylenmedi) siteler http//en.wikipedia.org/wiki/Combinatory_Logic http://www.mail-archive.com/cs-lisp@cs.bilgi.edu.tr/msg00186.html

cs-lisp Thread Date Find Re: [cs-lisp] Re: Lambda calculus Mehmet Ali Aksoy TœYSœZ Mon, 31 Oct 2005 09:50:59 -0800 Biraz ge§ olmakla birlikte umarım ià Ÿe yarar. http://www.cse.ucsc.edu/classes/cmps112/Spring03/readings/lambdacalculus/LambdaCalculusTutorial.pdf Kolay gelsin. Mehmet Ali Aksoy Chris Stephenson wrote: à žu anda y¼r¼tmekte olan Bilgi œniversite'sindeki Comp 313 dersim, her haftanın tekli derslerde lambda calculus'a yakın bir dil (Giuseppe) kullanıyoruz. Aslında Scheme i§inde birka§ sınır koyarak ve birka§ isim değià Ÿtirerek, Giuseppe oluà Ÿuyor. Giuseppe ismi Giuseppe Peano'dan. Daha Lambda calculus'a yakın birà Ÿey yapacaktım ama bu sene vaktim yetmedi. Seneye, herhalde dersi "Alonzo" dilinde vereceğim. Hen¼z yayınlanmamÄ±à Ÿ bir Matematil D¼nyası makalemde aynı konuyu §alÄ±à ŸÄ±yorum. Ali Nesin hen¼z makaleyi kabul etmemià Ÿ! Ä°lgin§ olan bazı sınılamalar dili §ok g¼§lendiriyor. (Her fonksiyonun tek parametreli olması, ¶rneğin). Currying ya da Sch¼nfinkeling yaparak §ok paramtereli fonksiyonlar oluà Ÿturmak zorunda olduğumuz i§in, her parametre tek tek eklyebiliriz ve clousre yapmak §ok kolay

50. [cs-lisp] Re: Lambda Calculus (yüzeysel burada kötü anlamda söylenmedi) siteler http//en.wikipedia.org/wiki/Combinatory_Logic http//en.wikipedia.org/wiki/Semantics http://cs.bilgi.edu.tr/pipermail/cs-lisp/2005-October/000342.html

[cs-lisp] Re: Lambda calculus aksoy at bilgi.edu.tr Mon Oct 31 19:50:22 EET 2005 Previous message: [cs-lisp] Re: Lambda calculus Next message: Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] ... http://www.cse.ucsc.edu/classes/cmps112/Spring03/readings/lambdacalculus/LambdaCalculusTutorial.pdf yetmedi. Seneye, herhalde dersi "Alonzo" dilinde vereceğim. http://cs.bilgi.edu.tr/pages/courses/year_3/comp_313/examples/ CS Emre Sevinc wrote: roktas at omu.edu.tr Merhaba, Imperatif kafamla (evet, ufaktan teshisler de koyuyorum boyle :-) bu "Lambda calculus" formalizmini cozmeye calisiyorum su gunlerde. Arada bir hos dokumanlar cikiyor karsima. Onlardan birini faydali olabilir dusuncesiyle geceyim buraya (Scheme ve C/Pascal ornekleri guzel): http://www.jetcafe.org/~jim/lambda.html Sizin onereceginiz belge ve bulgulari da ogrenmek isterim ayrica. Konunun uzmani degilim, herhalde aramizdaki daha bilgili bilgisayar bilimciler faydali bilgiler verecektir. Lambda calculus deyince benim aklima "semantics" geliyor, okuldaki bili$sel bilimler programinda, dilbilim baglaminda "syntax" dersi alirken

51. Boost Mailing Page: Re: [boost] [mpl] Metafunction Terminology - Revival? calculus (http//en.wikipedia.org/wiki/Combinatory_Logic), all lambda expressions can be given equivalent formulations using only the combinators S and K, http://lists.boost.org/Archives/boost/2006/07/108306.php

Boost : Date view Thread view Subject view Author view From: JOAQUIN LOPEZ MU?Z ( joaquin_at_[hidden] Date: Next message: Cromwell Enage: "Re: [boost] Computational Geometry Library" Previous message: Daniel Mitchell: "Re: [boost] [bgl] Bug in depth_first_search (and therefore topological_sort...)" Maybe in reply to: David Abrahams: "Re: [boost] [mpl] Metafunction terminology - revival?" Next in thread: David Bergman: "Re: [boost] [mpl] Metafunction terminology - revival?" Reply: David Bergman: "Re: [boost] [mpl] Metafunction terminology - revival?" - Mensaje original - Fecha: Lunes, Julio 24, 2006 8:08 pm Asunto: Re: [boost] [mpl] Metafunction terminology - revival? > 1. (Mine) What the MPL documentation calls a "lambda expression" http://boost.org/libs/mpl/doc/refmanual/lambda-expression.html ]) is > either "placeholder expression" or meta function classes *generated* > 2. (Yours) All metafunction classes are "lambda expressions." I've reread the referred page, and all I can take it to define is: a lambda expression is a metafunction class or a placeholder expression. Whether this is what the authors actually

52. National Knowledge Project would clarify the meaning of variables in logical notation, and indeed eliminate the need for them. From http//en.wikipedia.org/wiki/Combinatory_Logic. http://www.ontologystream.com/beads/nationalDebate/312.htm

home Thursday, December 15, 2005 The BCNGroup Beadgames Challenge Problem Communications on lattice of theories and conceptual atomism Given our historical background; and John Sowa’s work on a (substructural) framework that has 12 primitives, it is possible to make a formal linkage between deep notions on lattice of formal constructions (ie models or theories) and some type of aggregation process that helps identify the proper formal construction for a specific situation (or web service)? Sowa’s note on mapping language games to formal complexes begins to lay this out. How can a specification of formal linkage start? Perhaps with a full development of what Sowa’s Unified Framework concept is? John Is there an appropriate “smallest” ontological construction? Is this the Unified Framework? Can a smallest ontological construction be specified as a set of concepts with properties, relationships, attributes and facets? Can this conceptual specification occur without the introduction of predicate logic? After conceptual specification, can the predicate logic be used to create a standard OWL construction with these concepts?

53. Re: Proof Of A Certain Theorem In “Gödel's Proof” By Nagel & Newm http//en.wikipedia.org/wiki/Combinatory_Logic Logic It should be possible to find constants for the system in Hilbert and Ackermann in D. Hilbert, W. http://sci.tech-archive.net/Archive/sci.logic/2007-11/msg00094.html

From Date : Fri, 02 Nov 2007 22:30:09 +0100 G. Frege schrieb: On page 50 in the latest edition (2001) of "Gödel's Proof" Nagel & Newman write: "Each of these axioms may seem "obvious" and trivial. Nevertheless, it is possible to derive from them with the help of the stated Transformation Rules an indefinitely large class of theorems which are far from obvious or trivial. For example, the formula can be derived as a theorem. We are, however, not interested for the moment in deriving theorems from the axioms." I always felt the desire to "fill the gap" and formulate a proof for this theorem. Now, finally, I took the time to do so. Note though that without adding the crucial definition definition not even p -> p can be derived.) For simplicity I'm using a system adopting axiom schemas rather than axioms proper, and an additional (auxiliary) definition for "&". This axiom system was proposed by Hilbert and Ackermann in D. Hilbert, W. Ackermann, "Grundzüge der theoretischen Logik", Berlin: Springer-Verlag, 1928. Axiom-Schemata: Definitions: I am trying to get a grip why these Hilbert Style Proofs were so akwardly long in another post, and

54. Combinatory Logic - Computing Dictionary And Research Guide Wikipedia and Wikis. Combinatory logic Wikipedia http//en.wikipedia.org/wiki/Combinatory_Logic. Other. 1920-1931 Curry s block notes http://www.123exp-computing.com/t/03974107896/

The Language of Computers - Dictionary and Research Guide Provided by Search: Add to Favorites Combinatory logic Combinatory logic is a notation introduced by Moses Sch¶nfinkel and Haskell Curry to eliminate the need for variables in mathematical logic. It has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages. Wikipedia and Wikis Combinatory logic - Wikipedia http://en.wikipedia.org/wiki/Combinatory_logic Other 1920-1931 Curry's block notes "Foundations of Functional Programming" http://www.cl.cam.ac.uk/Teaching/Lectures/founds-f ... "Lectures on the Curry-Howard Isomorphism" http://folli.loria.fr/cds/1999/library/pdf/curry-h ... Keywords and Synonyms Combinatory logic, Combinator, Combinatorial logic More topics about: Combinatory logic Edit this page Add new links, rate and edit existing links, or make suggestions. - Staff Explore related topics: Supercombinator Graph reduction machine Fixed point combinator B,C,K,W system ... variable Some descriptions may have been derived in part from Princeton University WordNet or Wikipedia Last update: December 19, 2007

55. Trying To Remember .... - Comp.lang.scheme | Google Խմբեր http//en.wikipedia.org/wiki/Combinatory_Logic . Fabulous! Many Thanks. http://groups.google.am/group/comp.lang.scheme/msg/dbeff8e23fbc0495

comp.lang.scheme Սա Usenet խումբ է. Trying to remember .... Usenet խումբ oPless comp.lang.scheme 2 May 2007 02:58:50 -0700 Re: Trying to remember .... wrote: [snip] > The keyword for search is "combinatory logic", though I suspect that > "lambda calculus" would also lead there. See: http://en.wikipedia.org/wiki/Combinatory_logic Fabulous! Many Thanks. Google Խմբեր Google Սկիզբ

56. Some Lambda Identities - Fa.haskell | Google Grupas http//en.wikipedia.org/wiki/Combinatory_Logic Combinators_B.2C_C. And flip is (essentially) the B combinator. Any other references? Thanks, http://groups.google.lv/group/fa.haskell/browse_thread/thread/95c831dcb560b5ab/9

Palîdzîba Pierakstîties fa.haskell Diskusijas ... Abonçt ðo grupu Ðî ir Usenet grupa — uzzinât vairâk Some lambda identities Iespçjas Paðlaik ðajâ grupâ ir pârâk daudz tçmu, kuras parâdît pirmâs. Lai ðo tçmu varçtu parâdît pirmo, noòemiet ðo opciju citai tçmai. Jûsu pieprasîjuma apstrâdç ir radusies kïûda. Lûdzu, mçìiniet vçlreiz. Standarta skats Skatît kâ koku Proporcionâls teksts Noteiktais teksts ziòojumi Sakïaut visu Grupa, kurai jûs sûtat ziòu, ir Usenet grupa . Ja ievietosit ziòojumu ðajâ grupâ, jûsu e-pasta adrese bûs redzama jebkuram interneta lietotâjam. Jûsu atbildes ziòojums nav nosûtîts. Jûsu sûtîjums bija veiksmîgs Yitzchak Gale Skatît profilu Papildu iespçjas 9 Okt., 13:35 Intereðkopas: fa.haskell No: "Yitzchak Gale" <g Datums: Tue, 09 Oct 2007 10:35:45 UTC Vietçjie: Otr 9 Okt. 2007 13:35 Tçma: [Haskell-cafe] Some lambda identities Atbildçt autoram Pârsûtît Drukât Individuâls ziòojums ... Atrast ðî autora ziòojumus While playing with @pl on #haskell, I noticed some weird and surprising lambda identities. For example: Then we have: c c4 == c c4 c c c c Proof: Repeatedly apply the identity: (*) x (y z) == c x y z More stuff: c c2 == c4, c c3 == c7, but c cn does not appear

57. 000000 - Log Started Haskell/07.10.09 000002 Newsham So Easy enough to replace with 09 040636 apfelmus yitz http//en.wikipedia.org/wiki/Combinatory_Logic Combinators_B.2C_C 040647 apfelmus apparently http://www.cse.unsw.edu.au/~dons/code/irc-logs/07.10.09

00:00:00 - log: started haskell/07.10.09 00:00:02 so this "applicative" stuff is a lot like some of the concepts in "funmath" 00:00:10 newsham: yeah, I think there is a list of papers to read on various topics 00:18:59 newsham: I'll find it. 00:19:58 yeah, http://haskell.org/haskellwiki/Research_papers 00:19:59 Title: Research papers - HaskellWiki 00:20:22 That has a list of the research papers relevant to Haskell broken down roughly by topic. 00:20:45 The Functional Pearls section has quite a lot of particularly good ones. 00:21:29 - join: Kyzia (i=kyzia@195.5.34.126) joined #haskell 00:21:44 hello 00:21:46 http://globalchat.pp.net.ua/ 00:21:46 - part: Kyzia left #haskell 00:21:47 I wish that as an op, I could edit the past conversation on the channel, so as to remove the effects of spammers ;) 00:28:34 Censorship! 00:28:41 yes 00:28:43 and? 00:28:47 - join: pulczynski (n=marek@fw.grono.org) joined #haskell 00:28:48 isn't that the point of an op 00:28:52 - join: takuan (n=takuan@83.101.37.197) joined #haskell 00:29:14 - quit: pulczynski ("Leaving.") 00:29:33 - join: pulczynski (n=marek@fw.grono.org) joined #haskell 00:30:16 - join: Aperculum (n=lauri@unaffiliated/aperculum) joined #haskell 00:30:19 - join: roconnor (n=roconnor@vhe-540354.sshn.net) joined #haskell 00:30:31 - part: pulczynski left #haskell 00:30:52 - join: QplQyer (n=jeroen@state.ugent.be) joined #haskell 00:30:54 So I made this mini-mini-combinator language to make turing maching programs, but it's really ugly looking with nested functions. I wonder if this is a good place to stick a monad. 00:31:56 * jeffz wonders how effective spamming a non-english language website amongst mainly english speakers is. 00:32:14

58. ELookup Encyclopedia Combinatorial_search Combinatorial_species Combinatorics Combinatory_Logic Combine Combine,_Texas Combined_Fleet Combined_Locks,_Wisconsin Combined_arms http://www.ebroadcast.com.au/lookup/encyclopedia/co/index.html

Make eBroadcast my Homepage Contact Us It's Web Guide Encyclopedia Encyclopedia CO ... Cozumel Elsewhere Search engine Web directory CONTENTS: A B C D ... Contact Us

59. Re: Trying To Remember .... - Scheme See http//en.wikipedia.org/wiki/Combinatory_Logic Fabulous! Many Thanks. 3 Posts in Topic. Trying to remember . http://www.talkaboutprogramming.com/group/comp.lang.scheme/messages/78061.html

Programming Scheme Re: Trying to r... Latest [ Topics Posts Archive Post A New Topic ... Post a Reply Post 3 of 3 Topic 3828 of 4275 Re: Trying to remember .... On May 2, 10:08 am, Jussi Piitulainen <jpiit...@[EMAIL PROTECTED] > wrote: > oPless writes: > > I remember reading in a book, a few years ago, that the basic > > operations of scheme and lisp could be reduced to a very small [snip] > You may be thinking of S and K, which together with I are four or so. > The keyword for search is "combinatory logic", though I suspect that > "lambda calculus" would also lead there. See: > > < Fabulous! Many Thanks. 3 Posts in Topic: Trying to remember .... Re: Trying to remember .... Re: Trying to remember .... Post A Reply: About Advertising Contact Frequently Asked Questions ... Signup tan12V112 Mon Dec 24 1:03:44 CST 2007.

60. Index Of /primary/logic 04May-2004 1833 10k Combinatory_Logic.html 04-May-2004 1833 30k Conditional.html 04-May-2004 1833 21k Conditional_proof.html 04-May-2004 1833 7k http://real-estate-properties.com/primary/logic/

Index of /primary/logic Name Last modified Size Description ... Parent Directory 12-Apr-2007 20:26 - 1646.html 04-May-2004 18:31 15k 1716.html 04-May-2004 18:31 18k 1806.html 04-May-2004 18:31 24k 1815.html 04-May-2004 18:31 29k 1845.html 04-May-2004 18:31 33k 1848.html 04-May-2004 18:31 42k 1858.html 04-May-2004 18:31 28k 1861.html 04-May-2004 18:31 51k 1862.html 04-May-2004 18:31 50k 1864.html 04-May-2004 18:31 38k 1871.html 04-May-2004 18:32 33k 1872.html 04-May-2004 18:32 32k 1881.html 04-May-2004 18:32 34k 1891.html 04-May-2004 18:32 37k 1892.html 04-May-2004 18:32 47k 1896.html 04-May-2004 18:32 37k 1902.html 04-May-2004 18:32 48k 1903.html 04-May-2004 18:32 63k 1906.html 04-May-2004 18:32 44k 1908.html

61. Soutaro#nikki() Translate this page http//en.wikipedia.org/wiki/Combinatory_Logic Pragger http://d.hatena.ne.jp/soutaro/comment?date=20070623§ion=1182608906c

62. All Articles: Page 32 Combinatory_Logic Combine,_Texas Combined_Fleet Combined_Locks,_Wisconsin Combined_arms Combined_distribution_frame Combined_nuclear_and_steam_propulsion http://www.sparen-versicherung.de/everything-32.html

All Articles: Page 32 All Articles - Page 32 Pages: Clysonymus Clytemnestra Cnidaria Cnidocyte ... Impressum

63. Index Of The Topics: Co Combinatory_Logic 2816. Combinatory_Logic 2817. Combine 2818. Combine 2819. Combine,_Texas 2822. Combine_harvester 2823. Combined_Cadet_Force http://www.indexsuche.com/Co.htm

List of the Search Terms for "Co" Please, scrolling down around itself all entries indicate permit. Co Co-NP Co-NP Co-NP-Complete ... Search at MSN.Com Content-type: text/html random number is

64. Combinatory Logic - Wikipedia, The Free Encyclopedia Retrieved from http//wikipedia.cas.ilstu.edu/index.php/Combinatory_Logic . Categories Logic in computer science Mathematical logic Lambda calculus http://wikipedia.cas.ilstu.edu/index.php/Combinator

Combinatory logic From Wikipedia, the free encyclopedia. (Redirected from Combinator This article is about a topic in mathematical logic and theoretical computer science, and is not to be confused with combinatorial logic , a topic in electronics Combinatory logic is a notation introduced by Moses Schönfinkel and Haskell Curry to eliminate the need for variables in mathematical logic . It has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages. Contents showTocToggle("show","hide") 1 Combinatory logic in mathematics 2 Combinatory logic in computing 3 Summary of the lambda calculus 4 Combinatory calculi ... edit Combinatory logic in mathematics Combinatory logic was intended as a simple 'pre-logic' which would clarify the meaning of variables in logical notation, and indeed eliminate the need for them. See Curry, 1958-72. edit Combinatory logic in computing In computer science, combinatory logic is used as a simplified model of computation , used in computability theory (the study of what can be computed) and proof theory (the study of what can be mathematically proven .) The theory, despite its simplicity, captures many essential features of the nature of computation.

65. * Combinator | Www.adsense-success-guide.com | Wiki Retrieved from http//en.wikipedia.org/wiki/Combinatory_Logic . Categories Lambda calculus Logic in computer science Combinatory logic. Your Ad Here http://www.adsense-success-guide.com/Combinator

Combinator Enter your search terms Submit search form Mirrors Mirror 1 Mirror 2 Mirror 3 Mirror 4 ... Mirror 9 Not to be confused with combinational logic , a topic in digital electronics. Combinatory logic is a notation introduced by Moses Sch¶nfinkel and Haskell Curry to eliminate the need for variables in mathematical logic . It has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages . It is based on combinators . A combinator is a higher-order function which, for defining a result from its arguments, solely use function application and earlier defined combinators. Contents Combinatory logic in mathematics Combinatory logic in computing Summary of the lambda calculus Combinatory calculi ... edit Combinatory logic in mathematics Combinatory logic was originally intended as a 'pre-logic' that would clarify the role of quantified variables in logic, essentially by eliminating them. Another way of eliminating quantified variables is Willard Van Orman Quine 's predicate functors . While most systems of combinatory logic exceed the expressive power of first-order logic The original inventor of combinatory logic, Sch¶nfinkel, published nothing on combinatory logic after his original

66. Combinator Retrieved from http//en.wikipedia.org/show/Combinatory_Logic . Categories Lambda calculus Logic in computer science Combinatory logic http://mobilephone.110mb.com/index.php?l=Combinator

67. 000000 - Log Started Esoteric/05.10.25 000033 - Nick CXI out)) 094218 jix bcl is just another way to write CL 094309 graue http//esoteric.voxelperfect.net/wiki/TalkCombinatory_logic 094313 graue http://tunes.org/~nef/logs/esoteric/05.10.25

00:00:00 - log: started esoteric/05.10.25 00:00:33 - nick: CXI -> cXI 00:00:43 - nick: cXI -> CXI 02:12:00 - join: CXII (n=Sanity@dialup-86.88.221.203.acc50-kent-syd.comindico.com.au) joined #esoteric 02:32:46 - quit: CXI (Connection timed out) 02:33:00 - join: kipple (n=kipple@163.80-202-100.nextgentel.com) joined #esoteric 03:12:25 - join: jix (i=jix@F30d1.f.strato-dslnet.de) joined #esoteric 03:20:31 moin 03:38:23 hi 03:38:27 !help 03:38:29 help ps kill i flush 03:38:32 1l 2l befunge bch bf false glass glypho kipple malbolge pbrain sceql udage01 03:38:52 wow- that's quite a lot of languages :) 04:35:08 - nick: CXII -> CXI 04:43:03 - quit: jix ("Bitte waehlen Sie eine Beerdigungnachricht") 05:11:48 - join: jix (i=jix@F30d1.f.strato-dslnet.de) joined #esoteric 07:03:28 BOOOM 07:08:01 BOOOOM! 07:08:06 That's right. 07:08:08 I have one more O. 07:08:10 !ps 07:08:14 1 GregorR: ps 07:17:20 axopp.0.1.0.cc:135: error: `sranddev' undeclared (first use this function) 07:18:00 hmm 07:18:02 i have sranddev 07:18:12 OS? 07:18:15

68. Mathematical Logic DBpedia.org dbpediaCategoryAutomated_theorem_proving; dbpediaCategoryBoolean_algebra; dbpediaCategoryCategorical_logic; dbpediaCategoryCombinatory_logic http://dbpedia.org/resource/Category:Mathematical_logic

69. Free Variables And Bound Variables See also. closure_(computer_science)_ closure (mathematics) lambda_lifting_ scope_(programming)_ combinatory_logic_ assignment (mathematical logic) http://encyclopedia.bcz.com/en/free_variables_and_bound_variables

Encyclopedia archived Contents Ddxc de :''For the variables called "dummies" in statistics, see computer programming , a '''free variable''' is a variable _referred_to_in_a_function_that is not a local variable or an argument function .In mathematics formal language s, including , a '''free variable''' is a notation _that_specifies_which places in an expression substitution _may_take_place. The idea is related to a '''placeholder''' (a symbol _that_will_later be replaced by some ),_or a wildcard character proposition . That is, free variables become bound, and then in a sense ''retire'' from further work supporting the formation of formulae. Examples _Before stating a precise definition of '''free variable''' and '''bound variable''' (or '''dummy variable'''), we present some examples that perhaps make these two concepts clearer than the definition would (unfortunately the term ''dummy variable'' is used by many statisticians to mean an indicator variable logical value of this expression depends on the value of ''z'', but there is nothing called ''x'' or ''y'' on which it could depend. Variable-binding operators Formal explanation Variable-binding mechanisms occur in different contexts in mathematics, logic and computer science but in all cases they are purely

70. Specializing Functions With Currying (FoxtrotUniform) - PrlMnks.org Specializing Functions with Currying. FoxtrotUniform. created 200408-05 204237. perlmonks. reply; node; author. node; author. prlmnks. node; author http://prlmnks.org/html/380421.html

Home List RSS Search: Specializing Functions with Currying FoxtrotUniform created: 2004-08-05 20:42:37 perlmonks reply node author node ... author prlmnks node author Let's pretend: we're writing a markup-translation backend. The front end has taken the input text and transformed it into a bunch of paragraphs, each one a list of (style, content) pairs. For instance, a paragraph might look like my @test_data = ( ['none', 'The quick brown '], ['bold', 'fox'], ['none', ' jumped '], ['ital', 'over'], ['none', ' the lazy '], ['bold', 'dog'], ['none', '.'] ); Our task is to generate HTML from these paragraphs. One obvious WTDI is to build a dispatch table of translation functions: That's all well and good, but those functions are all going to be variations on a theme. That's going to suck if we ever want to extend them (to allow for CSS classes, for instance). What we'd like to be able to do is something like $text but of course that won't work. Will it? Enter currying . Currying is basically partial application of a function: instead of supplying all of a function's arguments and getting a result back, you supply

71. Discussion Utilisateur:Proz - Wikipédia Translate this page On en a confirmation en lisant la version anglaise enCombinatory_logic, il s agit de deux choses différentes. Malheureusement, on ne dispose pas de la http://fr.wikipedia.org/wiki/Discussion_Utilisateur:Proz

var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "fr"; var wgNoticeProject = "wikipedia"; Discussion Utilisateur:Proz Un article de Wikip©dia, l'encyclop©die libre. Aller   : Navigation Rechercher Welcome! ¡Bienvenido! ... Bienvenue sur Wikip©dia Wikip©dia est un large projet dans lequel il est facile de se perdre. Cependant, chaque page du site poss¨de en haut   gauche un lien vers l' aide de Wikip©dia. N'h©site pas   consulter les premi¨res indications pour modifier et r©diger des pages dans Wikip©dia. Le bac   sable est tout sp©cialement destin©   accueillir tes essais. Sur une page de discussion , n'oublie pas de signer tes messages , en tapant ~~~~ . Cependant, nous ne signons pas les articles encyclop©diques. Je te conseille un petit tour par les recommandations   suivre r¨gles de neutralit© r¨gles de citation des sources admissibilit© des articles ... conventions de style , etc.) et les pages projets o¹ il y a sans doute un sujet qui t'int©ressera. Tu es le bienvenu si tu d©sires ins©rer une image ou enrichir les articles mais il est imp©ratif de respecter des r¨gles tr¨s strictes sur l'utilisation des images et le respect des droits d'auteurs Si tu le d©sires, tu peux te pr©senter sur le

72. 000000 - Log Started Haskell/04.07.30 003220 - Join Hipo 000000 log started haskell/04.07.30 003220 - join Hipo (~hipo@dsl-hkigw4na7.dial.inet.fi) joined haskell 003314 - quit pimpbot5000 (Read http://66.114.33.57:8111/~nef/logs/haskell/04.07.30

hi 02:27:01 yo 02:45:21 - join: sorrow (~martin@62.216.168.142) joined #haskell 02:47:41 - quit: Jad (Read error: 110 (Connection timed out)) 03:04:20 - join: andersca (~andersca@h207n2fls33o293.telia.com) joined #haskell 03:12:58 morning andersca 03:13:10 morn 03:14:12 - join: arjanb (arjanb@borganism.student.utwente.nl) joined #haskell 03:40:46 - join: Iter (~andrae@ppp237-22.lns1.bne3.internode.on.net) joined #haskell 03:43:52 - quit: cm (Read error: 113 (No route to host)) 03:54:16 - quit: spenatmannen (Read error: 104 (Connection reset by peer)) 04:10:50 - join: bourbaki (~bourbaki@pD9FF4B27.dip.t-dialin.net) joined #haskell 04:12:47 - join: Joachim_ (joachim@pD9E53F1A.dip.t-dialin.net) joined #haskell 04:19:22 - quit: Joachim (Client Quit) 04:23:47 - join: spenatmannen (~mikaandr@spenatdatorn.olf.sgsnet.se) joined #haskell 05:06:46 - quit: flaw ("it was not thought to be physically possible, but distutils proves that it is, in fact, possible to both suck and blow has anyone written this? 07:14:10 Yes, but I'm not sure if it's overly generic. Let me look. 07:14:54