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» Strong Normalization of the Dual Classical Sequent Calculus
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LICS
2007
IEEE
13 years 12 months ago
Principles of Superdeduction
In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in t...
Paul Brauner, Clément Houtmann, Claude Kirc...
AML
2002
112views more  AML 2002»
13 years 5 months ago
Strong normalization of a symmetric lambda calculus for second-order classical logic
Abstract We extend Barbanera and Berardi's symmetric lambda calculus [2] to second order classical propositional logic and prove its strong normalization.
Yoriyuki Yamagata
TLCA
2001
Springer
13 years 10 months ago
Strong Normalization of Classical Natural Deduction with Disjunction
We introduce λµ→∧∨⊥ , an extension of Parigot’s λµ-calculus where disjunction is taken as a primitive. The associated reduction relation, which includes the permutati...
Philippe de Groote
APAL
2010
129views more  APAL 2010»
13 years 5 months ago
Kripke models for classical logic
We introduce a notion of Kripke model for classical logic for which we constructively prove soundness and cut-free completeness. We discuss the meaning of the new notion and its a...
Danko Ilik, Gyesik Lee, Hugo Herbelin
TCS
2011
13 years 16 days ago
Strong normalization from an unusual point of view
A new complete characterization of β-strong normalization is given, both in the classical and in the lazy λ-calculus, through the notion of potential valuability inside two suit...
Luca Paolini, Elaine Pimentel, Simona Ronchi Della...