Results 11 to 20 of about 118,936 (260)
Inducing syntactic cut-elimination for indexed nested sequents [PDF]
Logical Methods in Computer Science, 2018 The key to the proof-theoretic study of a logic is a proof calculus with a subformula property. Many different proof formalisms have been introduced (e.g. sequent, nested sequent, labelled sequent formalisms) in order to provide such calculi for the many
Revantha Ramanayake
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Fast Cut-Elimination using Proof Terms: An Empirical Study [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 Urban and Bierman introduced a calculus of proof terms for the sequent calculus LK with a strongly normalizing reduction relation. We extend this calculus to simply-typed higher-order logic with inferences for induction and equality, albeit without ...
Gabriel Ebner
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Elimination and cut-elimination in multiplicative linear logic
CoRR, 2022 We associate to every proof structure in multiplicative linear logic an ideal which represents the logical content of the proof as polynomial equations. We show how cut-elimination in multiplicative proof nets corresponds to instances of the Buchberger algorithm for computing Gröbner bases in elimination theory.
Daniel Murfet, William Troiani
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Schema Complexity in Propositional-Based Logics
Mathematics, 2021 The essential structure of derivations is used as a tool for measuring the complexity of schema consequences in propositional-based logics. Our schema derivations allow the use of schema lemmas and this is reflected on the schema complexity.
Jaime Ramos +2 more
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Cut-elimination and Redundancy-elimination by Resolution
Journal of Symbolic Computation, 2000 The authors propose a new cut-elimination procedure for classical predicate calculus LK. The basic formulation treats a particular case: \[ \text{if }A,\Gamma\vdash\Delta\text{ is derivable and }A\text{ is valid, then }\Gamma\vdash\Delta\text{ is derivable}.\tag{\(*\)} \] In general a cut like \(\Gamma\vdash B\); \(B,\Gamma\vdash\Delta/\Gamma \vdash ...
Matthias Baaz, Alexander Leitsch
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Cut elimination by unthreading
Archive for Mathematical Logic, 2023 AbstractWe provide a non-Gentzen, though fully syntactical, cut-elimination algorithm for classical propositional logic. The designed procedure is implemented on $$\textsf{GS4}$$ GS 4 , the one-sided version of Kleene’s sequent system $$\textsf{G4}$$
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Algebraic Aspects of Cut Elimination [PDF]
Studia Logica, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Belardinelli +2 more
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Quasipolynomial Normalisation in Deep Inference via Atomic Flows and Threshold Formulae [PDF]
Logical Methods in Computer Science, 2016 Je\v{r}\'abek showed that cuts in classical propositional logic proofs in deep inference can be eliminated in quasipolynomial time. The proof is indirect and it relies on a result of Atserias, Galesi and Pudl\'ak about monotone sequent calculus and a ...
Paola Bruscoli +3 more
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Cut free sequent calculus for logic S5n(ED)
Lietuvos Matematikos Rinkinys, 2010 Hilbert style, Gentzen style sequent and Kanger style sequent calculi for logic S5n(ED) are considered in this paper. Gentzen style sequent calculus is constructed and its equivalence with Hilbert style system is proved, getting soundness and ...
Haroldas Giedra
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Cut-elimination for knowledge logics with interaction
Lietuvos Matematikos Rinkinys, 2008 In the article, multimodal logics K4n and S4n with the central agent axiom are analysed. The Hilbert type calculi are presented, then the Gentzen type calculi with cut are derived, and the proofs of the cut-eliminationtheorems are outlined.
Julius Andrikonis
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