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TLCA
2007
Springer
14 years 1 months ago
An Isomorphism Between Cut-Elimination Procedure and Proof Reduction
Abstract. This paper introduces a cut-elimination procedure of the intuitionistic sequent calculus and shows that it is isomorphic to the proof reduction of the intuitionistic natu...
Koji Nakazawa
TLCA
2007
Springer
14 years 1 months ago
Completing Herbelin's Programme
Abstract. In 1994 Herbelin started and partially achieved the programme of showing that, for intuitionistic implicational logic, there is a Curry-Howard interpretation of sequent c...
José Espírito Santo
ICFP
2003
ACM
14 years 7 months ago
Disjunctive normal forms and local exceptions
All classical -terms typable with disjunctive normal forms are shown to share a common computational behavior: they implement a local exception handling mechanism whose exact work...
Emmanuel Beffara, Vincent Danos
AIML
2008
13 years 9 months ago
Proof systems for the coalgebraic cover modality
abstract. We investigate an alternative presentation of classical and positive modal logic where the coalgebraic cover modality is taken as primitive. For each logic, we present a ...
Marta Bílková, Alessandra Palmigiano...
LFCS
1992
Springer
13 years 11 months ago
Denotations for Classical Proofs - Preliminary Results
This paper addresses the problem of extending the formulae-as-types principle to classical logic. More precisely, we introduce a typed lambda-calculus (-LK ) whose inhabited types...
Philippe de Groote