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1. Barendregt: Lambda Calculus The Scott topology can be translated to Bohm Trees associated with terms. We have the upside down ChurchRosser Theorem for eta on Bohm-Trees. http://mathgate.info/cebrown/notes/barendregt.php

The Omega Group TPS A higher-order theorem proving system This page was created and is maintained by Chad E Brown Barendregt, H. P. The Lambda Calculus: Its Syntax and Semantics. North Holland, Amsterdam (1984). Part I: TOWARDS THE THEORY Chapter 1: Introduction. Chapter 2: Conversion. Chapter 3: Reduction. Chapter 4: Theories. ... Chapter 5: Models. Part II: CONVERSION Chapter 6: Classical Lambda Calculus. Chapter 7: The Theory of Combinators. Chapter 8: Classical Lambda Calculus (Continued) Chapter 10: Bohm Trees. Part III: REDUCTION Chapter 11: Fundamental Theorems. Chapter 13: Reduction Strategies. Appendix A: Typed Lambda Calculus. Part I: TOWARDS THE THEORY Chapter 1: Introduction. Lambda calculus is a theory of functions as rules instead of graphs. The objects of study (type free lambda terms) can be used as both function and argument. Lambda calculus was originally invented to provide a general theory of functions which could be extended to provide a foundation for mathematics. Church's original system [1932/33] was inconsistent due to the Kleene-Rosser paradox [1935]. One response by Church [1941] was to study the subsystem given by the lambda-I calculus. [Another response was to study a system based on typed lambda calculus.] Curry proposed to extend pure combinatory logic by illative notions to give a foundation for mathematics. This program has not been completed. Another foundational approach related to lambda calculus is Feferman's [1975/80] systems for constructive mathematics based on partial application. These systems are related to Wagner [1969] and Strong's [1968] Uniformly Reflexive Structures. Also, there are relationships between typed lambda calculus, proof theory and category theory.

2. JSTOR Degrees Of Sensible Lambda Theories Bohm Trees. Let M be a Aterm. The Bohm tree of M, BT(M), is defined as follows. If M is unsolvable, then BT(M)= f/(f~ is just some symbol). http://links.jstor.org/sici?sici=0022-4812(197803)43:1<45:DOSLT>2.0.CO;2-6

3. COMPUTER SCIENCE TECHNICAL REPORT ABSTRACTS Keywords Linear lambda calculus, abstract Bohm Trees, term assignment systems, uniform provability. We present the spine calculus S -o T as an efficient http://reports-archive.adm.cs.cmu.edu/anon/1997/abstracts/97-125.html

CMU-CS-97-125 Computer Science Department School of Computer Science, Carnegie Mellon University CMU-CS-97-125 A Linear Spine Calculus Iliano Cervesato, Frank Pfenning April 1997 CMU-CS-97-125.ps Keywords: Linear lambda calculus, abstract Bohm trees, term assignment systems, uniform provability We present the spine calculus S as an efficient representation for the linear lambda-calculus lambda which includes intuitionistic functions (->), linear functions - o T . S enhances the representation of Church's simply typed lambda-calculus as abstract Bohm trees by enforcing extensionality and by incorporating linear constructs. This approach permits procedures such as unification to retain the efficient head access that characterizes first-order term languages without the overhead of performing n -conversions at run time. Potential applications lie in proof search, logic programming, and logical frameworks based on linear type theories. We define the spine calculus, give translations of lambda into S and vice-versa, prove their soundness and completeness with respect to typing and reductions, and show that the spine calculus is strongly normalizing and admits unique canonical forms. 36 pages

4. Publications Intersection Types For Lambda-Trees We introduce a type assignment system which is parametric with respect to five families of trees obtained by evaluating lambdaterms (Bohm Trees, http://pubs.doc.ic.ac.uk/Bakeletal-TCS-272-2003/

We introduce a type assignment system which is parametric with respect to five families of trees obtained by evaluating lambda-terms (Bohm trees, Levy-Longo trees, ...). Then we prove, in an (almost) uniform way, that each type assignment system fully describes the observational equivalences induced by the corresponding tree representation of terms. More precisely, for each family of trees, two terms have the same tree if and only if they get assigned the same types in the corresponding type assignment system.

5. Abstracts Of The Lectures At The School In Logic And Computation Bohm Trees, Bohm Trees modulo finite or infinite etaexpansions. In this talk, we will focus on the relations between the tree representations of the http://www.cee.hw.ac.uk/~fairouz/eefschool1999/abstracts2.html

6. Nabble - UIUC Maude - HOR'06 CALL FOR PARTICIPATION Nondeterministic Bohm Trees * Barry Jay Typing the pattern calculus * Barry Jay Quantifying the benefits of sub-typing * Nao Hirokawa and Aart Middeldorp http://www.nabble.com/HOR'06---CALL-FOR-PARTICIPATION-td5489716.html

Nabble.setVar("skin",null); Nabble.page = 'forum.TopicDump'; Nabble.addCssRule(document.styleSheets[0],'.nabble a:link','color:'+document.linkColor); Nabble.addCssRule(document.styleSheets[0],'.nabble a:visited','color:'+document.vlinkColor); Nabble Programming Languages UIUC Maude Nabble.userHeader(14115); HOR'06 CALL FOR PARTICIPATION View: Threaded Chronologically All Messages Nabble.selectOption(Nabble.get("nabble.viewSelect"),Nabble.tview); New views Rating Filter: Alert me HOR'06 CALL FOR PARTICIPATION document.write(Nabble.ratingStars(3)); by document.write(''); Azadeh Farzan document.write(''); document.write(Nabble.formatDateLong(new Date(1153848259000))); :: Rate this Message: Reply to Author View Threaded Show Only this Message * HOR'06 CALL FOR PARTICIPATION * 3rd International Workshop on Higher-Order Rewriting Tuesday August 15, 2006 http://www.easychair.org/FLoC-06/HOR.html The aim of HOR is to provide an informal and friendly setting to discuss recent work and work in progress concerning higher-order rewriting.

7. Domains And Lambda Calculi (book Announcement) 6.5 Towards sequentiality 6.6 PCF Bohm Trees 7 Domain equations 7.1 Domain equations 7.2 Predicate equations 7.3 Universal domains 7.4 Representation 8 http://www.seas.upenn.edu/~sweirich/types/archive/1997-98/msg00317.html

[Prev] [Next] [Index] [Thread] Domains and Lambda Calculi (book announcement) To types@cs.indiana.edu Subject : Domains and Lambda Calculi (book announcement) From amadio@gyptis.univ-mrs.fr Date : Fri, 27 Mar 1998 17:43:21 GMT CC amadio@protis.univ-mrs.fr Delivery-Date : Fri, 27 Mar 1998 11:44:50 -0500 Reply-to amadio@gyptis.univ-mrs.fr Book announcement: DOMAINS AND LAMBDA CALCULI by Roberto AMADIO and Pierre-Louis CURIEN Cambridge Tracts in Theoretical Computer Science 46, ISBN 0-521-62277-8, Cambridge University Press We are pleased to announce that the book is now available. Order informations can be found at http://www.cup.cam.ac.uk/Scripts/webbook.asp?isbn=0521622778 and for North-America at http://www.cup.org/Titles/62/0521622778.html Prev: postdoc position at INRIA Sophia Antipolis - pls forward Next: AMAST'98 first CFP Index(es): Main Thread

8. MOVES: Software Modeling And Verification (Info 2) of meaninglessness genericity of the class of meaningless terms, the consistency of equating all meaningless terms, and the construction of Bohm Trees. http://www-i2.informatik.rwth-aachen.de/Events/Aachen1996/alpabstracts.html?styl

9. Concurrency Þ Non-deterministism For instance, Dave Sands and others use them for equivalence of Bohm Trees in the lambdacalculus (which I never understood!!). http://www.lix.polytechnique.fr/~catuscia/teaching/DEA/2003/c2/cours.html

Planche 1 Concurrency 2 Functions vs Processes Interaction Jean-Jacques Lévy jeanjacqueslevy.net/dea Planche 2 Concurrency Non-deterministism Suppose x is a global variable. At beginning, x Consider P x x x x x x after P , then x may have several values ( x Hence P is not a function from memory states to memory states. In concurrent programming, execution is not deterministic since it is upto an external agent (the scheduler). Let S Values be the set of memory states. Let [[ P ]] be the meaning of P A concurrent program is not a (partial) function from memory states to memory states. [[ P S S A concurrent program is a relation on memory states. [[ P S S Planche 3 Concurrency Interaction Consider P x Q x x x P and Q are same functions on memory states: s s x However after P P , then x after P Q , then x A semantic (meaning) is compositional iff [[ P Q ]] implies [[ C P C Q ] ]] for any context C In previous example, in any compositional semantics, [[ P Q Conclusion P and Q are not equivalent processes. Planche 4 Concurrency Termination Concurrent processes are often non terminating An operating system never terminates; same for the software of a vending machine, or a traffic-light controler, or a human, etc.

10. An Analysis Of Multivalued And Join Dependencies Based On The Systems and Computer Science , year = 1994, key = Bohm Trees for the Lazy Lambda Calculus with constants , number = Technical Report TRA8/94 } http://www.is.s.u-tokyo.ac.jp/library/new-books/html/nus-discs-tra.html

An analysis of multivalued and join dependencies based on the entity-relationship approach T W Ling Proceedings of the inter department seminar on local area networks C K Yuen, et al. Integrity constraint checking in deductive databases using the prolog not-predicate T K Ling Self-assessment test on the fundamentals of data communications K Ranai, A L Ananda, A D Narasimhalu An application of prolog in chinese text processing Teh Hoon Heng, Chan Sing Chai, Yu Wellington Chia-Peir, Low Hwee Boon A system translator for chinese information processing systems H R Hwa, P Chen, L Ye A space searching method for checking the consistencey and completeness of a rulebase W W Tsang, Y S Wan, E L Lim and W Hioe A normal form for not-necessarily normalized relations Tok Wang Ling A neglected aspect of digital signatures Wai Wan Tsang and John W. John Time delays in data flow designs Kenneth C L Seah and John C McCallum A simulation game administration system Gee Kin Yeo and Boon Wei Chew Proceedings of the seminar on current trends in mis research G B Davis G.A.M.E.: a perception measurement tool for software development

11. RTA 2003 - Abstracts Of Accepted Papers In this paper, we define a tree logic that directly embeds XML Schema as a plain subset . sets S of values (such as headnormal forms or Bohm-Trees). http://www.dsic.upv.es/~rdp03/rta/abstracts.html

RDP Home page Organization Sponsors MEETINGS RTA TLCA FTP RULE ... WST VENUE Valencia Registration Accomodation Travelling ... Internet RTA'03 14th International Conference on Rewriting Techniques and Applications Valencia, Spain, June 9-11, 2003 ABSTRACTS OF REGULAR PAPERS ACCEPTED FOR PRESENTATION Rewriting Modulo in Deduction Modulo F. Blanqui Validation of the JavaCard Platform with Implicit Induction Techniques G. Barthe (INRIA Sophia-Antipolis, France) S. Stratulat XML Schema, Tree Logic and Sheaves Automata S. Dal Zilio (CNRS, Marseille, France) D. Lugiez Termination of String Rewriting Rules That Have One Pair of Overlaps A. Geser (National Institute of Aerospace, Hampton, USA) This paper presents a partial solution to the long standing open problem of termination of one-rule string rewriting. Overlaps between the two sides of the rule play a central role in existing termination criteria. We characterize termination of all one-rule string rewriting systems that have one such overlap at either end. This both completes a result of Kurth and generalizes a result of Shikishima-Tsuji et al. New decidability results for fragments of first order logic and application to cryptographic protocols H. Comon-Lundh

12. Abstract Böhm Trees We present a formalism of Trees with pointers, called abstract Böhm Trees, that provide a suitable abstract framework in which various cutfree proofs or http://portal.acm.org/citation.cfm?id=967286.967289

13. [DGL+98] Intersection Types, Lambda-models And Böhm Trees Title, « Intersection Types, Lambdamodels and Böhm Trees ». In, MSJ-Memoir Vol. 2 ``Theories of Types and Proofs . Volume, 2. Page(s), 45-97 http://www.di.unito.it/~lambda/biblio/entry-Dezani-Giovannetti-deLiguoro-Tokyo98

Chronological Overview Type-Hierarchical Overview Semantics and Logics of Computation (Most of the papers antecedent to 1995 are not included in the list) FRAMES NO FRAME Dezani-Giovannetti-deLiguoro:Tokyo98 (In a collection) Author(s) Mariangiola Dezani-Ciancaglini, Elio Giovannetti and Ugo de' Liguoro Title In MSJ-Memoir Vol. 2 ``Theories of Types and Proofs'' Volume Page(s) Year Publisher Mathematical Society of Japan URL http://www.di.unito.it/~dezani/papers/11.ps BibTeX code Chronological Overview Type-Hierarchical Overview Semantics and Logics of Computation (Most of the papers antecedent to 1995 are not included in the list) FRAMES NO FRAME This document was generated by (Modified by Luca Paolini, under the GNU General Public License

14. IngentaConnect Bisimulation In Untyped Lambda Calculus - Bohm Trees And Bisimula On the basis of an operational bisimulation account of Bohm tree equivalence, a novel operationallybased development of the Bohm tree theory is presented, http://www.ingentaconnect.com/content/els/15710661/2004/00000020/00000001/art000

var tcdacmd="dt"; Home About Ingenta Ingenta Labs Ingenta Blog ... Check our FAQs Or contact us to report problems with: Subscription access Article delivery Registration Library administrator tasks ... Other problems For Publishers Why go online? Why choose IngentaConnect? Beyond Print: enhancing your service Access and authentication ... Contact us For Researchers For Authors About IngentaConnect Search and browse Publications available ... Register For Librarians Resource Zone Why choose IngentaConnect? Why choose IngentaConnect Complete? Activating Subscriptions ... Register CM8ShowAd("HorizontalBanner"); Bisimulation in Untyped Lambda Calculus - Bohm Trees and Bisimulation up to Context Author: Lassen S.B. Source: Electronic Notes in Theoretical Computer Science , Volume 20, Number 1, January 2004 , pp. 1-29(29) Publisher: Elsevier view table of contents Key: - Free Content - New Content - Subscribed Content - Free Trial Content CM8ShowAd("Skyscraper"); Language: English Document Type: Research article The full text link is not available.

15. Publications Of Fer-Jan De Vries We prove that the only continuous parametric Trees are Böhm and LévyLongo Trees. . Böhm Trees, bisimulations and observations in lambda calculus. http://www.cs.le.ac.uk/people/fdevries/fdv1/node15.xml

computer science HOME MAP CONTACT ABOUT ... Back to staff listing Publications of Fer-Jan de Vries Refereed Publications J.R. Kennaway, M.R. Sleep P. Severi and F.J. de Vries. Infinite rewriting: from syntax to semantics, in proceedings of Processes, Terms and Cycles: Steps on the Road to Infinity: Essays dedicated to Jan Willem Klop on the Occasion of His 60th Birthday , editors: A. Middeldorp, V. van Oostrom, F. van Raamsdonk and R. de Vrijer. SLNCS 3838, pages 148-172, 2005. pdf P. Severi and F.J. de Vries. Separability of infinite lambda terms in proceedings of the LCTTNL Workshop: The second workshop on Lambda Calculus, Type Theory and Natural Language, King's College London, 12th September 2005. Page 1-12. dvi and pdf Abstract P. Severi and F.J. de Vries. Order Structures on Böhm-like Models Conference paper in Luke Ong, editor, Computer Science Logic: 19th International Workshop, CSL 2005 , 14th Annual Conference of the EACSL, Oxford, UK. August 22-25, 2005. (Lecture Notes in Computer Science 3634), Springer-Verlag. Page 103-116. 2005.

16. TOPPS Bibliography Keywords normalization by evaluation, untyped lambdacalculus, denotational semantics, functional programming, Böhm Trees, computational adequacy http://www.diku.dk/topps/bibliography/2005.html

TOPPS Bibliography List of DIKU TOPPS publications for 2005 (alphabetic on first authors last name): D-536 O Barais, J Lawall , A-F Le Meur, and L Duchien Providing Support for Safe Software Architecture Transformations In Working session of the 5th IEEE/IFIP Working Conference on Software Architecture (WICSA 5) , page 2. Pittsburgh, Pennsylvania. November, 2005. Summary : This paper presents some issues that confront the software developer when extending a software architecture, and briefly describes some of the features of a software architecture extension framework, TranSAT, that addresses these issues. Pointers BibTeX pdf D-533 J-P Bodeveix, M Filali, J L Lawall , and G Muller Applying the B formal method to the Bossa domain-specific language In The 17th Nordic Workshop on Programming Theory (NWPT'05) , pp. 35-38. Volume of . Copenhagen, Denmark. October, 2005. Keywords : process scheduling, domain-specific languages, formal methods, operating systems Summary Pointers BibTeX pdf D-534 J-P Bodeveix, M Filali, J Lawall , and G Muller Formal methods meet Domain Specific Languages In Fifth International Conference on Integrated Formal Methods , pp. 187-206. Volume 3771 of Lecture Notes in Computer Science. Eindhoven, The Netherlands. November, 2005.

17. Researchers In Intersection Types And Related Systems filter models, principality, union types, relevant logic, callby-value, subtyping, nondeterminism, approximants, Böhm Trees, combinatory logic, http://www.macs.hw.ac.uk/~jbw/itrs/researchers.html

Researchers in Intersection Types and Related Systems Samson Abramsky - Oxford University Computing Laboratory (with Jensen (POPL '91), with Burn and Hankin (SCP '86)?) Alex Aiken - University of California at Berkeley program analysis, constraints, soft typing, union types, conditional types Yohji Akama normalization (?), combinators (?), ? Fabio Alessi - Università di Udine (MFCS '91 with Barbanera) Sandra Alves (linearization) Roberto M. Amadio - Université Paris 7 survey, ? Torben Amtoft - Kansas State University correspondence with flow analysis frameworks Steffen van Bakel - Imperial College Currified TRSs, filter models, approximation models, type inference, relevant logic, call-by-value, normalization, combinators, approximants, expansion, finite-rank restriction, universal quantifiers, unification, type inference Anindya Banerjee - Kansas State University polyvariant flow analysis, finite-rank restriction Franco Barbanera - Università di Catania expansion, finite-rank restriction, universal quantifiers, union types, unification, type inference, subtyping, approximants, Böhm trees, filter models Henk Barendregt - Radboud Universiteit Nijmegen filter models, ?

18. Bibliography 32, P.L. Curien, H. Herbelin, ``Computing with Abstract Böhm Trees , 49, G. Huet, H. Laulhère, ``Finite-state Transducers as Regular Böhm Trees , http://www.iist.unu.edu/~alumni/software/other/inria/www/coq/biblio-eng.html

19. Fundamenta Informaticae Vol. 45 Abstracts This technique is used to give a direct proof of the theorem of Hyland and Wadsworth two lterms that have the same Böhm Trees, up to (possibly infinite) http://fi.mimuw.edu.pl/abs45.html

Preface Pawe³ Urzyczyn and Jean-Ives Girard Elementary Complexity and Geometry of Interaction Patrick Baillot and Marco Pedicini We introduce a geometry of interaction model given by an algebra of clauses equipped with resolution (following [10]) into which proofs of Elementary Linear Logic can be interpreted. In order to extend geometry of interaction computation (the so called execution formula ) to a wider class of programs in the algebra than just those coming from proofs, we define a variant of execution (called weak execution ). Its application to any program of clauses is shown to terminate with a bound on the number of steps which is elementary in the size of the program. We establish that weak execution coincides with standard execution on programs coming from proofs. Counting a Type's (Principal) Inhabitants Sabine Broda and Luís Damas We present a Counting Algorithm that computes the number of l-terms in b-normal form that have a given type t as a principal type and produces a list of these terms. The design of the algorithm follows the lines of Ben-Yelles' algorithm for counting normal (not necessarily principal) inhabitants of a type t. Furthermore, we show that one can use similar algorithms with adequate limits to count normal and principal normal inhabitants in the lI-calculus.

20. DBLP Gérard P. Huet WCRE 2001 127135. 1998. 35, Gérard P. Huet Regular Böhm Trees. 34, Gérard P. Huet, Henri Laulhère Finite-State Transducers as Regular Böhm Trees. http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/h/Huet:G=eacute=rard_P

21. Bienvenue Sur Ma Page Personnelle I develop a technic to compute with Böhm Trees. This gives a proof of R.Kerth s conjecture on unsolvable terms. This also gives a syntactical proof of http://www.lama.univ-savoie.fr/~david/

Professeur In my office Outside my office Informations diverses Equipe de recherche : Logique Tel : 33 (0)4 79 75 87 17 Fax : 33 (0)4 79 75 81 42 Email : Rene.David@univ-savoie.fr "Amphis pour tous" "Amphis pour tous" "Peut-on avoir confiance en l'informatique ?" Liens I am the co-organizer (with Laurence Vignollet Aussois school C. Raffalli cliquez ici ... Planning Co-organisateur du workshop I am the co-organizer (with Laurence Vignollet , Simona Ronchi della Rocca and Cristina Baroglio) of the third in Theoretical Computer Science and/or service-oriented architectures from August 28th to September 1st in Torino. I gave a course. My slides are here here Publications (enseignement) R. David, K. Nour et C. Raffalli Une version courte short.ps est parue dans la long.ps We describe our experience of using PhoX (the prover of C Raffalli) with undergraduate students in mathematics. rmc During the 2002-03 academic year, I used PhoX (the prover of C Raffalli) with the undergraduate students in mathematics (in

22. Research Böhm Trees. I still hope to make use of a coinductive understanding of Böhm Trees. Up to now, Klaus Aehlig and me just came up with yet another presentation http://www.mathematik.uni-muenchen.de/~joachski/research.html

Position Currently, I am a freelance researcher in the working group of Prof. Helmut Schwichtenberg , who also supervised my doctoral thesis Reduction properties of permutative introduction elimination (PIE)-Systems. The latter was finished in 12/01 and is now published, but also available from the page of publications. Research interests Most of my work has been dedicated to the lambda-calculus or at least term systems which look like it. Strong normalization proofs. Ralph Matthes and I (re-)invented a very short and easily implementable normalization proof for the simply typed lambda-calculus and showed how to extend it to permutative conversions and Gödel’s T. The crucial point is an inductive characterization SN of the set of strongly normalizing terms. Details can be found in an AML paper Eta-expansion . I thought a bit about the problems arising from eta-expansions in more complex lambda-calculi like the calculus of constructions, starting from a very elementary proof of strong normalization and confluence for eta-expansion in the simply typed lambda-calculus. As a result emerged a proof of strong normalization of combined beta-etaexp-reduction (restricted as Barthe did, not quite so harshly as

23. Bibliography Of Hugo Herbelin Computing with Abstract Böhm Trees , with PierreLouis Curien, Proceedings of FLOPS 98 (bibtex Keywords Game Models, Abstract Machines, Böhm Trees. http://yquem.inria.fr/~herbelin/publis/index-eng.html

Research articles "An approach to call-by-name delimited continuations" ACM for your personal use - not for redistribution) errata bibtex entry Abstract: It has been shown by Saurin that de Groote's variant of Parigot's lambda-mu-calculus is strictly more expressive in the untyped case than Parigot's original calculus. We show that this additional expressivity exactly corresponds to adding delimited control so that de Groote's calculus can be seen as the exact call-by-name counterpart of Danvy and Filinski's shift-reset calculus. This "duality" is expressed in the lambda-mu-tp-hat-calculus which is lambda-mu-calculus equipped with a single dynamically-bound continuation variable denoting a resettable toplevel. An equational correspondence having already been proved in A type-theoretic foundation of delimited continuations for call-by-value lambda-mu-tp-hat and Danvy and Filinski's calculus, we simply show here the equivalence between call-by-name lambda-mu-tp-hat and de Groote's calculus. We continue with a comparative study of the operational semantics, continuation-passing-style semantics, and simple typing of both call-by-name and call-by-value versions. Finally, we show the existence of two other canonical calculus of delimited continuations. The first one morally forms an equational correspondance with Sabry's shift/lazy-reset calculus while the second one is a "lazy" version of de Groote's calculus. "Control Reduction Theories: the Benefit of Structural Substitution",

24. The Sensible Graph Theories Of Lambda Calculus This result is a consequence of the fact that all the equations between solvable terms, which have different Böhm Trees, fail in every sensible graph http://csdl.computer.org/comp/proceedings/lics/2004/2192/00/21920276abs.htm

var sc_project=2763585; var sc_invisible=0; var sc_partition=28; var sc_security="3c678009"; var addtoLayout=0; var addtoMethod=0; var AddURL = escape(document.location.href); // this is the page's URL var AddTitle = escape(document.title); // this is the page title Advanced Search CS Search Google Search Home Digital Library Podcasts Site Map ... Table of Contents Abstract 19th Annual IEEE Symposium on Logic in Computer Science (LICS'04) pp. 276-285 The Sensible Graph Theories of Lambda Calculus Antonio Bucciarelli Antonino Salibra Full Article Text: DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/LICS.2004.1319622 Send link to a friend Abstract Back to Top Additional Information Citation: Antonio Bucciarelli, Antonino Salibra, "The Sensible Graph Theories of Lambda Calculus," lics , pp. 276-285, 19th Annual IEEE Symposium on Logic in Computer Science (LICS'04), 2004

25. HER MAJESTY'S THEATRE.; Programme For The Opening Of Beer-bohm Tree's ... - Arti Programme for the Opening of BeerBohm Tree s New House. LONDON, April 24. BeerBohm Tree has had over 10000 applications for seats for the opening night http://query.nytimes.com/gst/abstract.html?res=FB0F13FC3D5414728DDDAC0A94DC405B8

26. Readings: Theory Of Computation Böhm Trees Part III. Reduction 11. Fundamental Theorems 12. Strongly Equivalent Reductions 13. Reduction Strategies 14. Labelled Reduction http://miser-theory.info/readings/theory.htm

Miser Project Readings Theory of Computation L ast updated 2003-02-10-22:35 -0800 (pst) see also Readings in Logic Readings in Mathematics Readings in Philosophy Barendregt, Hendrik Pieter. The Lambda Calculus: Its Syntax and Semantics . North-Holland (Amsterdam, 1981). ISBN 0-444-85490-8. Studies in Logic and the Foundations of Mathematics, vol. 103. This is one of my fundamental sources on the lambda calculus. I want to pay particular attention to combinatory logic (CL) and combinatory algebra (CA). My notes on this book focus on that. Content Preface Part I. Towards the Theory 1. Introduction 2. Conversion 3. Reduction 4. Theories 5. Models Part II. Conversion 6. Classical Lambda Calculus 7. The Theory of Combinators 8. Classical Lambda Calculus (continued) I -Calculus Part III.

27. The Little Calculist: Freshness... With Respect Now, I wonder about infinite programs like Böhm Trees. Although I don t know if they actually only use a finite number of names even though the term is http://calculist.blogspot.com/2005/05/freshness-with-respect.html

The Little Calculist Dave Herman's research blog. Thursday, May 19, 2005 Freshness... with respect In A New Approach to Abstract Syntax with Variable Binding , Pitts and Gabbay describe a "freshness" quantifier for their variant of set theory, where you can quantify over fresh names. This allows you to describe freshness conditions in a more formal way than the usual " x does not occur in M ," and even reason about fresh names with formal logic. The quantification N x can be read: "for fresh x ..." This has a cool, dual universal/existential property: because the ambient universe of names is infinite, it's always true that there exists a fresh x , and because we don't care which one we choose, any proposition we prove using the freshness quantifier holds for all such fresh names. What confused me for a while was that the quantifier just says " x is fresh;" it doesn't say " x is fresh with respect to M ". But it seemed like if you take a name that's fresh at one point, but then use it in another context, you might have accidentally picked a name that conflicted with a name in the new context. In other words, I was concerned that having a local freshness condition without talking globally about all the names you're ever going to use doesn't carry enough information to avoid an incorrect choice of fresh name.

28. EULER Record Details \par Contents \par $\ell$Representable Functions Over Free Structures Revisited (M. Takahashi); Computing with Abstract Böhm Trees (P.-L. Curien and H. http://www.emis.de/projects/EULER/detail?ide=1998satopapefromfuji&matchno=57&mat

29. The Lambda Calculus - Elsevier Classical Lambda Calculus (Continued). The LambdaCalculus. Böhm Trees. Reduction. Fundamental Theorems. Strongly Equivalent Reductions. http://www.biolc.com/wps/find/bookdescription.cws_home/501727/description?navope

30. DoCIS Search Result Abstract Böhm Trees Hierarchical Spatial Data Structures .. Spanning Tree Representations of Graphs and Orders in Conceptual Structures http://wotan.liu.edu/docis/search?query=structures

31. This Document Was Made By OCR From A Scan Of The Technical Report Proof The stability theorem follows from the stability of Böhm Trees Ber78. Here we sketch a simple, alternative proof. http://research.microsoft.com/lampson/56-Dependencies/56-DependenciesOCR.htm

This document was made by OCR from a scan of the technical report. It has not been edited or proofread and is not meant for human consumption, but only for search engines. To see the scanned original, replace OCR.htm with Abstract.htm or Abstract.html in the URL that got you here. Analysis and Caching of Dependencies Martin Abadi Butler Lampson Jean-Jacques L u evy Digital Systems Research Center Microsoft INRIA Rocquencourt rna@pa . dec. corn blarnpson@rnicrosoft. corn Jean Jacques.Levy@inria.fr Abstract We address the problem of dependency analysis and caching in the context of the A-calculus. The dependencies of a A- term are (roughly) the parts of the A-term that contribute to the result of evaluating it. We introduce a mechanism for keeping track of dependencies, and discuss how to use these dependencies in caching. 1 Introduction Suppose that we have evaluated the function application I(1, 2), and that its result is 7. If we cache the equality I(1,2) = 7, we may save ourselves the work of evaluating I(1, 2) in the future. Suppose further that, in the course of evaluating I(1,2), we noticed that the first argument of I

32. Search Results For "TACS" – FacetedDBLP 1, Gérard P. Huet, Henri Laulhère, FiniteState Transducers as Regular Böhm Trees. Search with DBLP WebCrawler Search on Bibsonomy http://dblp.l3s.de/?q=TACS&search_opt=venuesOnlyExact&resultsPerPage=100

33. Information And Computation, 2002; 178 (1) Intersection and Singleton Type Assignment Characterizing Finite BöhmTrees / Kurata, Toshihiko, 1-11. Linear Time and the Power of One First-Order http://www.ucm.es/BUCM/compludoc/W/10210/08905401_2.htm

Sumario Título / Autor(es) Página(s) Intersection and Singleton Type Assignment Characterizing Finite Böhm-Trees / Kurata, Toshihiko Linear Time and the Power of One First-Order Universal Quantifier / Durand, Arnaud Prelogical Relations / Honsell, Furio Sannella, Donald The Box Algebra=Petri Nets+Process Expressions / Best, Eike Devillers, Raymond Koutny, Maciej Relative Undecidability in Term Rewriting / Geser, Alfons Middeldorp, Aart Ohlebusch, Enno Zantema, Hans Relative Undecidability in Term Rewriting / Geser, Alfons Middeldorp, Aart Ohlebusch, Enno Zantema, Hans Conservation and Uniform Normalization in Lambda Calculi with Erasing Reductions / Neergaard, Peter Moller Sorensen, Morten Heine Ordered SOS Process Languages for Branching and Eager Bisimulations / Ulidowski, Irek Phillips, Iain Learning Closed Horn Expressions / Arias, Marta Khardon, Roni On Complexity of Easy Predictable Sequences / Vyugin, Michael V V'yugin, Vladimir V The Complexity of Solving Equations over Finite Groups / Goldmann, Mikael Russell, Alexander On the Nonapproximability of Boolean Functions by OBDDs and Read-k-Times Branching Programs / Bollig, Beate

34. Infinity Symposium - The Infinity Project To give semantics to a term graph rewrite system, we can use a generalization of the Böhm tree called Böhm semantics. Proving that a particular Böhm http://fspc282.few.vu.nl/infinity/index.php/Infinity_Symposium

Infinity Symposium From The Infinity Project A past event: the spring symposium for our BRICKS project INFINITY INFINITY SYMPOSIUM Tuesday March 21 and Wednesday March 22, 2006 Room S111, Faculty of Sciences, Vrije Universiteit Amsterdam The project is concerned with infinite objects, computation, modeling, and reasoning (more information can be found here ). For participants of the INFINITY project, the symposium is meant as an opportunity to learn about related work and meet people working in related fields. Most talks will be of a tutorial nature. The symposium takes place in between two PhD defenses (see Past events ) that both have to do with the subject of INFINITY Contents Programme Tuesday March 21, 2006 Wednesday March 22, 2006 Abstracts ... edit Programme edit Tuesday March 21, 2006 09.30 coffee Grigore Rosu Hidden logics: theory, circular coinduction, applications and tools (part I). Jan Willem Klop ... Zena Ariola Cycles and control operators slides Stefan Blom slides edit Wednesday March 22, 2006 09.30 coffee Grigore Rosu Hidden logics: theory, circular coinduction, applications and tools

35. Anthony Dekker - Publications List Dekker, A.H. The Lazy Lambda Calculus with Constants A Böhm Tree Model (Extended Abstract). In Proceedings of Computing the Australian Theory Seminar, http://members.ozemail.com.au/~dekker/publications.html

Anthony Dekker : Publications List These are my work-related publications to date. Please email me at dekker ACM.org for information on any of these publications. Unfortunately only some of these publications are available electronically at present. My Erdös Number is currently 5. For Google Scholar citations, the first few of these are mine. Dekker, A.H. Experiments in Planning and the “ISLAND MISSION” Game. Submitted to SimTecT 2008 Dekker, A.H. Centrality in Social Networks: Theoretical and Simulation Approaches. Submitted to SimTecT 2008 Dekker, A.H. Network Effects in Epidemiology. Submitted to SimTecT 2008 Dekker, A.H. Realistic Social Networks for Simulation using Network Rewiring. To appear at MODSIM 2007 (R) Dekker, A.H. Predicting Periodic Phenomena with Self-Organising Maps. To appear at MODSIM 2007 (R) Dekker, A.H. Studying Organisational Topology with Simple Computational Models. Journal of Artificial Societies and Social Simulation , vol. 10, no. 4, available electronically (R) Additional information for this paper is available here Dekker, A.H.

36. FLoC '02 - DOMAIN Sunday July 21st We do so by constructing an infinitary lambda calculus which not only has the confluence property, but also is normalising every term has its Böhm tree http://floc02.diku.dk/DOMAIN/Sunday.html

DOMAIN on Sunday Detailed program Sunday July 21st, 2002 See also the unified by-slot program All sessions take place in auditorium 3. Session 5 Bill Lawvere, State U of New York-Buffalo, USA Invited talk: Some open problems concerning cartesian closed categories Dana Scott showed in 1970 that there are many cartesian closed categories containing arbitrarily large objects which are isomorphic to their own self-exponential. Tarski's high school identities suggest a more general question: (1) Which exponential rigs can be objectively realized? Hurewicz's homotopy category is also cartesian-closed, but has the unusual property that its points functor is the left adjoint of its own left adjoint. (2) Can any CCC be mapped to one with that property? That property also applies to infinitesimals which moreover enjoy further right adjoints, so that functionals (such as differential forms) are actually functions with a bigger codomain. (3) Can the lambda-calculus be expanded so as to provide an efficient means of presenting CCC's with such additional right adjoints? A topos has exponential types as a consequence of the power types. The power types also permit, via Dedekind's infinite intersection method, the construction of a "natural" number object given only the geometrical phenomenon of a monomorphic endo-map which is not an isomorphism.