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This paper presents a soundness and completeness proof for propositional intuitionistic calculus with respect to the semantics of computability logic. The latter interprets formulas as interactive computational problems, formalized as games…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

This volume contains the proceedings of the 8th International Workshop on Quantum Physics and Logic (QPL 2011), which was held October 27-29, 2011 at Radboud University Nijmegen. The goal of this workshop series is to bring together…

Quantum Physics · Physics 2012-10-02 Bart Jacobs , Peter Selinger , Bas Spitters

Beginning with the projectively invariant method for linear programming, interior point methods have led to powerful algorithms for many difficult computing problems, in combinatorial optimization, logic, number theory and non-convex…

Numerical Analysis · Computer Science 2014-12-11 Narendra Karmarkar

The classical satisfiability problem (SAT) is used as a natural and general tool to express and solve combinatorial problems that are in NP. We postulate that provability for implicational intuitionistic propositional logic (IIPC) can serve…

Logic in Computer Science · Computer Science 2024-05-14 Aleksy Schubert , Paweł Urzyczyn , Konrad Zdanowski

This volume constitutes the proceedings of LFMTP 2011, the Sixth International Workshop on Logical Frameworks and Meta-languages: Theory and Practice. The LFMTP workshop series brings together designers, implementors, and practitioners to…

Logic in Computer Science · Computer Science 2011-11-01 Herman Geuvers , Gopalan Nadathur

This paper examines the interdisciplinary research question of how to integrate Computational Argumentation, as studied in AI, with Cognition, as can be found in Cognitive Science, Linguistics, and Philosophy. It stems from the work of the…

Artificial Intelligence · Computer Science 2021-11-16 Emmanuelle Dietz , Antonis Kakas , Loizos Michael

The syntactic nature of logic and computation separates them from other fields of mathematics. Nevertheless, syntax has been the only way to adequately capture the dynamics of proofs and programs such as cut-elimination, and the finiteness…

Logic · Mathematics 2023-06-14 Norihiro Yamada

Computability logic is a formal theory of (interactive) computability in the same sense as classical logic is a formal theory of truth. This approach was initiated very recently in "Introduction to computability logic" (Annals of Pure and…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Cyclic proof theory studies proofs where cycles are allowed. This is useful for developing proof theory for logics with fixpoint operators: cycles can be used to represent the unfolding of a fixpoint. However, this cyclic character is not…

Logic · Mathematics 2025-11-05 Borja Sierra Miranda

Temporal logic is a very powerful formalism deeply investigated and used in formal system design and verification. Its application usually reduces to solving specific decision problems such as model checking and satisfiability. In these…

Logic in Computer Science · Computer Science 2016-09-15 Gaëlle Fontaine , Fabio Mogavero , Aniello Murano , Giuseppe Perelli , Loredana Sorrentino

This volume contains a selection of papers presented at LFMTP 2019, the 14th International Workshop on Logical Frameworks and Meta-Languages: Theory and Practice (LFMTP), held on June 22, 2019, in Vancouver, Canada. The workshop was…

Logic in Computer Science · Computer Science 2019-10-22 Dale Miller , Ivan Scagnetto

Type theories, logical frameworks and meta-languages form a common foundation for designing, implementing, and reasoning about formal languages and their semantics. They are central to the design of modern programming languages, certified…

Logic in Computer Science · Computer Science 2010-09-14 Karl Crary , Marino Miculan

We study an intuitionistic version of common knowledge logic (CK), called ICK, which was introduced by J\"ager and Marti. ICK extends intuitionistic propositional logic (IPL) by multiple box modalities interpreted as knowledge operators for…

Logic · Mathematics 2026-05-04 Lukas Zenger

This is a short paper about the relationship between logic and computation. More specifically, it is about a relationship between the completeness proof for intuitionistic propositional logic within the form of proof-theoretic semantics…

Logic · Mathematics 2026-05-07 Tao Gu , David Pym , Eike Ritter , Edmund Robinson

Uniform proofs are sequent calculus proofs with the following characteristic: the last step in the derivation of a complex formula at any stage in the proof is always the introduction of the top-level logical symbol of that formula. We…

Logic in Computer Science · Computer Science 2014-11-17 Gopalan Nadathur

In a 1985 commentary to his collected works, Kolmogorov informed the reader that his 1932 paper 'On the interpretation of intuitionistic logic' "was written in hope that with time, the logic of solution of problems [i.e., intuitionistic…

Logic · Mathematics 2025-12-04 Sergey A. Melikhov

An efficient entailment proof system is essential to compositional verification using separation logic. Unfortunately, existing decision procedures are either inexpressive or inefficient. For example, Smallfoot is an efficient procedure but…

Logic in Computer Science · Computer Science 2022-10-04 Quang Loc Le , Xuan-Bach D. Le

This volume contains the proceedings of the 7th International Workshop on Developments in Computational Models (DCM 2011) which was held on Sunday July 3, 2011, in Zurich, Switzerland, as a satelite workshop of ICALP 2011. Recently several…

Computational Engineering, Finance, and Science · Computer Science 2012-07-31 Elham Kashefi , Jean Krivine , Femke van Raamsdonk

This volume contains the proceedings of the 13th International Colloquium on Implementation of Constraint and LOgic Programming Systems (CICLOPS 2013), held in Istanbul, Turkey during August 25, 2013. CICLOPS is a well established line of…

Programming Languages · Computer Science 2013-08-01 Ricardo Rocha , Christian Theil Have

This volume contains the proceedings of the Ninth Workshop on Fixed Points in Computer Science which took place on the September 1st, 2013 in Torino, Italy as a CSL-affiliated workshop. Past workshops have been held in Brno (1998, MFCS/CSL…

Logic in Computer Science · Computer Science 2013-08-28 David Baelde , Arnaud Carayol
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