Results 31 to 40 of about 1,069,887 (282)

Pattern matching as cut elimination

open access: yesTheoretical Computer Science, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cerrito, Serenella, Kesner, Delia
openaire   +3 more sources

Confluence for classical logic through the distinction between values and computations [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
We apply an idea originated in the theory of programming languages - monadic meta-language with a distinction between values and computations - in the design of a calculus of cut-elimination for classical logic.
José Espírito Santo   +3 more
doaj   +1 more source

Tautology Elimination, Cut Elimination and S4? [PDF]

open access: yes
The paper “Tautology elimination, cut elimination, and S5” published in this journal presents a novel method for establishing by proof analysis the admissibility of the rule of tautology elimination for certain sequent calculi.
Fjellstad, Andreas
core   +2 more sources

Herbrand-Confluence [PDF]

open access: yesLogical Methods in Computer Science, 2013
We consider cut-elimination in the sequent calculus for classical first-order logic. It is well known that this system, in its most general form, is neither confluent nor strongly normalizing.
Stefan Hetzl, Lutz Straßburger
doaj   +1 more source

The Consistency and Complexity of Multiplicative Additive System Virtual [PDF]

open access: yesScientific Annals of Computer Science, 2015
This paper investigates the proof theory of multiplicative additive system virtual (MAV). MAV combines two established proof calculi: multiplicative additive linear logic (MALL) and basic system virtual (BV).
R. Horne
doaj   +1 more source

Cut-Elimination and Quantification in Canonical Systems [PDF]

open access: yesStudia Logica, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anna Zamansky, Arnon Avron
openaire   +1 more source

Syntactic cut-elimination for a fragment of the modal mu-calculus [PDF]

open access: yes, 2012
For some modal fixed point logics, there are deductive systems that enjoy syntactic cut-elimination. An early example is the system in Pliuskevicius (1991) [15] for LTL.
Brünnler, Kai, Studer, Thomas
core   +1 more source

Partial cut elimination for propositional discrete linear time temporal logic

open access: yesLietuvos Matematikos Rinkinys, 2010
We consider propositional discrete linear time temporal logic with future and past operators of time. For each formula ϕ of this logic, we present Gentzen-type sequent calculus Gr(ϕ) with a restricted cut rule.
Jūratė Sakalauskaitė
doaj   +1 more source

Superdeduction in Lambda-Bar-Mu-Mu-Tilde [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2011
Superdeduction is a method specially designed to ease the use of first-order theories in predicate logic. The theory is used to enrich the deduction system with new deduction rules in a systematic, correct and complete way.
Clément Houtmann
doaj   +1 more source

System Description: The Cut-Elimination System CERES

open access: yes, 2006
Cut-elimination is the most prominent form of proof transformation in logic. The elimination of cuts in formal proofs corresponds to the removal of intermediate statements (lemmas) in mathematical proofs.
Hetzl, Stefan   +4 more
core   +4 more sources

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