Results 61 to 70 of about 191,191 (174)
Realisability semantics of abstract focussing, formalised [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 We present a sequent calculus for abstract focussing, equipped with proof-terms: in the tradition of Zeilberger's work, logical connectives and their introduction rules are left as a parameter of the system, which collapses the synchronous and ...
Stéphane Graham-Lengrand
doaj +1 more source
Introduction to Cirquent Calculus and Abstract Resource Semantics
, 2005 This paper introduces a refinement of the sequent calculus approach called cirquent calculus. While in Gentzen-style proof trees sibling (or cousin, etc.) sequents are disjoint sequences of formulas, in cirquent calculus they are permitted to share ...
Japaridze, Giorgi
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Contraction-free calculi for modal logics S5 and KD45
Lietuvos Matematikos Rinkinys, 2011 It is known that termination and backtracking are among the most important problems in constructing derivations in non-classical logics. In this paper contractionfree and backtracking-free sequent calculi for modal logics S5 and KD45 are presented and ...
Julius Andrikonis +1 more
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A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems [PDF]
Logical Methods in Computer Science, 2011 Basic proof-search tactics in logic and type theory can be seen as the root-first applications of rules in an appropriate sequent calculus, preferably without the redundancies generated by permutation of rules. This paper addresses the issues of defining
Stéphane Jean Eric Lengrand +2 more
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A System of Interaction and Structure
, 2007 This paper introduces a logical system, called BV, which extends multiplicative linear logic by a non-commutative self-dual logical operator. This extension is particularly challenging for the sequent calculus, and so far it is not achieved therein.
Alessio Guglielmi +8 more
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Grafting hypersequents onto nested sequents [PDF]
Logic Journal of IGPL, 2016 We introduce a new Gentzen-style framework of grafted hypersequents that combines the formalism of nested sequents with that of hypersequents. To illustrate the potential of the framework, we present novel calculi for the modal logics $\mathsf{K5}$ and $\mathsf{KD5}$, as well as for extensions of the modal logics $\mathsf{K}$ and $\mathsf{KD}$ with the
Kuznets, Roman, Lellmann, Björn
openaire +3 more sources
Urban Science, 2019 This paper is aimed at investigating the applicability of the notion of Sequent Occupance to the Singapore context. Sequent Occupance as a phenomenon in Human Geography was first theorized by Derwent Whittlesey in 1929 in order to describe the current ...
Francesco Cavallaro +2 more
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Linear logic with idempotent exponential modalities: a note [PDF]
, 2014 In this note we discuss a variant of linear logic with idempotent exponential modalities. We propose a sequent calculus system and discuss its semantics.
Slavnov, Sergey
core
Cut-elimination for the modal Grzegorczyk logic via non-well-founded proofs
, 2017 We present a sequent calculus for the modal Grzegorczyk logic Grz allowing non-well-founded proofs and obtain the cut-elimination theorem for it by constructing a continuous cut-elimination mapping acting on these proofs.Comment: WOLLIC'17, 12 pages, 1 ...
A Avron +5 more
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