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» Cut-Elimination and Proof Search for Bi-Intuitionistic Tense...
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ICFP
2000
ACM
13 years 9 months ago
The duality of computation
We review the close relationship between abstract machines for (call-by-name or call-by-value) λ-calculi (extended with Felleisen’s C) and sequent calculus, reintroducing on the...
Pierre-Louis Curien, Hugo Herbelin
CSL
2007
Springer
13 years 11 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
AIML
2006
13 years 6 months ago
Deep Sequent Systems for Modal Logic
We see a systematic set of cut-free axiomatisations for all the basic normal modal logics formed by some combination the axioms d, t, b, 4, 5. They employ a form of deep inference ...
Kai Brünnler
CADE
2009
Springer
14 years 5 months ago
Efficient Intuitionistic Theorem Proving with the Polarized Inverse Method
The inverse method is a generic proof search procedure applicable to non-classical logics satisfying cut elimination and the subformula property. In this paper we describe a genera...
Sean McLaughlin, Frank Pfenning
TABLEAUX
1999
Springer
13 years 9 months ago
Sequent Calculi for Nominal Tense Logics: A Step Towards Mechanization?
Abstract. We define sequent-style calculi for nominal tense logics characterized by classes of modal frames that are first-order definable by certain Π0 1 -formulae and Π0 2 -...
Stéphane Demri