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» A Cut-Free Sequent Calculus for Bi-intuitionistic Logic
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CORR
2010
Springer
165views Education» more  CORR 2010»
13 years 5 months ago
Cut-Elimination and Proof Search for Bi-Intuitionistic Tense Logic
We consider an extension of bi-intuitionistic logic with the traditional modalities , , and from tense logic Kt. Proof theoretically, this extension is obtained simply by extendin...
Rajeev Goré, Linda Postniece, Alwen Tiu
TABLEAUX
2007
Springer
13 years 11 months ago
A Cut-Free Sequent Calculus for Bi-intuitionistic Logic
Bi-intuitionistic logic is the extension of intuitionistic logic with a connective dual to implication. Bi-intuitionistic logic was introduced by Rauszer as a Hilbert calculus with...
Linda Buisman, Rajeev Goré
CSL
2007
Springer
13 years 11 months ago
A Cut-Free and Invariant-Free Sequent Calculus for PLTL
Abstract. Sequent calculi usually provide a general deductive setting that uniformly embeds other proof-theoretical approaches, such as tableaux methods, resolution techniques, goa...
Joxe Gaintzarain, Montserrat Hermo, Paqui Lucio, M...
RTA
2005
Springer
13 years 10 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner