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» Strong Normalization of the Dual Classical Sequent Calculus
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ICFP
2003
ACM
16 years 4 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 9 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
125
Voted
APAL
2010
98views more  APAL 2010»
15 years 5 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
TLCA
2005
Springer
15 years 10 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 8 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