Provability Logic (Stanford Encyclopedia Of Philosophy) Provability logic is a modal logic that is used to investigate what arithmetical theories can express in a restricted language about their Provability http://plato.stanford.edu/entries/logic-provability/
Provability Logic - Wikipedia, The Free Encyclopedia Provability logic is a modal logic, in which the box (or necessity ) operator is interpreted as it is provable that . The point is to capture the notion http://en.wikipedia.org/wiki/Provability_logic
On Provability Logic This is an introductory paper about Provability logic, a modal propositional logic in which necessity is interpreted as formal Provability. http://www.hf.uio.no/ifikk/filosofi/njpl/vol4no2/provlog/index.html
Open Site - Science: Mathematics: Logic: Proof Theory: Provability Logic Provability logic, or the logic of Provability, is a modal logic where the modal necessity operator is interpreted as Provability in a reasonably rich http://open-site.org/Science/Mathematics/Logic/Proof_Theory/Provability_logic
Problems The Provability logic of Heyting arithmetic HA decidability, axiomatization. The Provability logic of bounded arithmetics S21 and S2 decidability, http://www.phil.uu.nl/~lev/problems.html
JSTOR The Logic Of Provability. Many different interlaced logical cultures have participated in the remarkable advances of the past two decades in the area of Provability logic. http://links.jstor.org/sici?sici=0022-4812(199512)60:4<1316:TLOP>2.0.CO;2-7
Boolos Bibliography On systems of modal logic with Provability interpretations. Theoria 46 (1980) 718. On notions of Provability in Provability logic. http://web.mit.edu/philos/www/facultybibs/boolos_bib.html
Provability Logic With Operations On Proofs Provability logic with Operations on Proofs. Source, Lecture Notes In Computer Science; Vol. 1234 archive Proceedings of the 4th International Symposium on http://portal.acm.org/citation.cfm?id=664430
Selected Publications Annals of Pure and Applied logic, v. 75 (12)1, 1995. Special issue of papers from the Conference on Proof Theory, Provability logic and Computation, http://www.cs.cornell.edu/Info/People/artemov/publ.html
Words And Other Things: Proofs And Provability Provability logic is an interpretation of modal logic. Now, the question I have is what is the relation between proof theory and Provability logic? http://indexical.blogspot.com/2007/11/proofs-and-provability.html
Giorgi Japaridze: Research And Publications Semidecidable fragments of first order Provability logic. The arithmetical completeness of Provability logic with quantifier modalities. http://www.csc.villanova.edu/~japaridz/study.html
Review Albert Visser, A Course On Bimodal Provability Logic Albert Visser, A Course on Bimodal Provability logic. Fulltext Access via JSTOR (no additional login). Go to this article in JSTOR. Links and Identifiers http://projecteuclid.org/handle/euclid.jsl/1183745258
Provability Logic - Indopedia, The Indological Knowledgebase Provability logic, or the logic of Provability, is a modal logic where the necessity operator is interpreted as Provability in a reasonably rich formal http://www.indopedia.org/Provability_logic.html
The Logic Of Provability - Cambridge University Press Modal logic within set theory; 14. Modal logic within analysis; 15. The joint Provability logic of consistency and wconsistency; 16. http://www.cambridge.org/catalogue/catalogue.asp?isbn=9780521483254
Home Page Of Rostislav Yavorskiy On Kripkestyle Semantics for the Provability logic of Godel s Proof Predicate with Quantifiers on Proofs. Journal of logic and Computation 2005, Vol. http://www.mi.ras.ru/~rey/
Martin Löb (1921-2006) The inspiration of Löb s Theorem made Amsterdam one of the places where the first results in Provability logic were obtained, a program started by de http://www.illc.uva.nl/Obituaries/Loeb.html
CiteULike: On Provability Logic msakai s tags for this article. logic modallogic Provability game haskell ilp intuitionistic lcm linear-logic logic machine-learning maude modal-logic http://www.citeulike.org/user/msakai/article/1662361
Matematicheskie Zametki Provability logic without Craig s interpolation property L. D. Beklemishev UDC 510.65 Received 26.10.1988 Citation L. D. Beklemishev, Provability logic http://www.mathnet.ru/php/journal.phtml?wshow=paper&jrnid=mzm&paperid=3498&year=
CSLI Calendar, 19 November 1997, Vol. 13:10 logic of Proofs provides an intended Provability semantics for the Goedel Provability logic S4, as well as for some other constructions in logic and http://www-csli.stanford.edu/Archive/calendar/1997-98/msg00010.html
NORM Since Löb s announcement of his solution to Henkin s problem (LÖB54, LÖB55) there has been successful and fruitful research on Provability logic tied up http://nb.vse.cz/kfil/elogos/logpoint/93-2/KIM.htm
DBLP: Albert Visser 3, Albert Visser An Inside View of EXP; or, The Closed Fragment of the Provability logic of I Delta0+Omega1 with a Propositional Constant for EXP. http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/v/Visser:Albert.html
vejdar vejdar, Vít zslav The decision problem of Provability logic with only one atom; In Archive for Mathematical logic. 2003, ro . 42, . 8, s. 763768. http://svi.ff.cuni.cz/sm_sy/svejdar.htm
Anders Moen On Numerals, Variables and Quantifiers in Provability logic abstract logic is the scientific language of Computer Science. Instead of investigating logic http://www.nr.no/~andersmo/personal.html
LICS Newsletter 10 PPC provides a platform for the presentation of recent results in the areas of Proof Theory, Provability logic, and Computation where these are interrelated http://www2.informatik.hu-berlin.de/lics/newsletters/10.html
Essays In Philosophy -- Book Review Boolos is best known for his work on modal Provability logic. Boolos The logic of Provability (1993) is regarded as the single best volume on the subject, http://www.humboldt.edu/~essays/marrev.html
Introduction The idea of Provability logic arose in the seventies in work of G. The Provability logic then consists of modal formulas, which are valid in every http://www.math.cas.cz/~jerabek/papers/prlast.html
Abbeys Bookshop - Logic Of Provability Its subject is the relation between Provability and modal logic, a branch of logic invented by Aristotle but much disparaged by philosophers and virtually http://www.abbeys.com.au/items/08/77/58/
Springer Online Reference Works Modal logic. This interpretation is related to the normal extensions of Provability logic, because there exists a natural isomorphism between the lattice of http://eom.springer.de/M/m110020.htm
Magnus Boman - Older Publications Towards the end of my thesis work, one of my supervisors PerErik Malmnäs told me I had to choose between Provability logic and all my other interests. http://www.sics.se/~mab/Publ.html
DMG-FG2: Projects It has resulted in the description of the Provability fragment of a logic which is conjectured to be the preservativity (a constructive analogue to http://www.dmg.tuwien.ac.at/fg2/index.php?id=40
PlanetMath: Gödel's Incompleteness Theorems The second incompleteness theorem is best presented by means of a Provability logic. Consider an arithmetic theory $ T$ which is p.r. axiomatised by http://planetmath.org/encyclopedia/GodelsIncompletenessTheorems.html
Oxford Scholarship Online: Interpolation And Definability This chapter shows that actions of interpolation in extensions of the Provability logic G differs from that over S4. A logic G 0x0003b3 http://www.oxfordscholarship.com/oso/public/content/maths/9780198511748/acprof-9
The Discreteness Of Time Interestingly, GL logic is sound and complete for the class of conversewellfounded Kripke frames. The subject of Provability logic has been thoroughly http://www.dcs.ed.ac.uk/home/pgh/dummet.html
Rineke Verbrugge On the Provability logic of bounded arithmetic,. Annals of Pure and Applied logic. ,. 61. (1993) 7593. Contributions to edited booksback to top http://www.ai.rug.nl/~rineke/topics/topic.php?topic=Publications