Results 31 to 40 of about 1,069,887 (282)
Pattern matching as cut elimination
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Cerrito, Serenella, Kesner, Delia
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Confluence for classical logic through the distinction between values and computations [PDF]
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]
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
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]
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
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Cut-Elimination and Quantification in Canonical Systems [PDF]
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Anna Zamansky, Arnon Avron
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Syntactic cut-elimination for a fragment of the modal mu-calculus [PDF]
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
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]
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
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

