Results 51 to 60 of about 170,706 (312)
Integrating a Global Induction Mechanism into a Sequent Calculus [PDF]
International Conference on Theorem Proving with Analytic Tableaux and Related Methods, 2017 Most interesting proofs in mathematics contain an inductive argument which requires an extension of the LK-calculus to formalize. The most commonly used calculi contain a separate rule or axiom which reduces the important proof theoretic properties of ...
David M. Cerna, Michael Peter Lettmann
semanticscholar +1 more source
Polarizing Double Negation Translations [PDF]
, 2013 Double-negation translations are used to encode and decode classical proofs in intuitionistic logic. We show that, in the cut-free fragment, we can simplify the translations and introduce fewer negations.
A. Kolmogorov +14 more
core +4 more sources
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
core +1 more source
A Classical Sequent Calculus with Dependent Types
European Symposium on Programming, 2017 Dependent types are a key feature of the proof assistants based on the Curry-Howard isomorphism. It is well known that this correspondence can be extended to classical logic by enriching the language of proofs with control operators.
Étienne Miquey
semanticscholar +1 more source
Loop-check elimination for non-transitive distributed knowledge logic
Lietuvos Matematikos Rinkinys, 2008 A non-transitive distributed knowledge logic TnD, obtained from multi-modal logic Tn by adding distributed knowledge operator, is considered. Sound and complete loop-check-free sequent calculus for this logic is proposed.
Aida Pliuškevičienė
doaj +1 more source
Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors
Population Ecology, EarlyView.Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
wiley +1 more source
Sequent Calculi for Orthologic with Strict Implication
Bulletin of the Section of Logic, 2022 In this study, new sequent calculi for a minimal quantum logic (\(\bf MQL\)) are discussed that involve an implication. The sequent calculus \(\bf GO\) for \(\bf MQL\) was established by Nishimura, and it is complete with respect to ortho-models (O ...
Tomoaki Kawano
doaj +1 more source
Population Ecology, EarlyView.Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
wiley +1 more source
Sequent calculus Sk4 for skolemized formulas
Lietuvos Matematikos Rinkinys, 2005 There is not abstract.
Andrejus Belovas, Stanislovas Norgėla
doaj +3 more sources
Intersection Logic in sequent calculus style [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 The intersection type assignment system has been designed directly as deductive system for assigning formulae of the implicative and conjunctive fragment of the intuitionistic logic to terms of lambda-calculus.
Simona Ronchi Della Rocca +3 more
doaj +1 more source