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» Strong Normalization of the Dual Classical Sequent Calculus
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ICFP
2003
ACM
15 years 9 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
TABLEAUX
2009
Springer
15 years 2 months ago
Proof Search and Counter-Model Construction for Bi-intuitionistic Propositional Logic with Labelled Sequents
Abstract. Bi-intuitionistic logic is a conservative extension of intuitionistic logic with a connective dual to implication, called exclusion. We present a sound and complete cut-f...
Luis Pinto, Tarmo Uustalu
APAL
2010
98views more  APAL 2010»
14 years 9 months ago
Classical proof forestry
Classical proof forests are a proof formalism for first-order classical logic based on Herbrand's Theorem and backtracking games in the style of Coquand. First described by M...
Willem Heijltjes
88
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TLCA
2005
Springer
15 years 3 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger
CTCS
1987
Springer
15 years 1 months ago
A Typed Lambda Calculus with Categorical Type Constructors
A typed lambda calculus with categorical type constructors is introduced. It has a uniform category theoretic mechanism to declare new types. Its type structure includes categoric...
Tatsuya Hagino