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» Strong Normalization of the Dual Classical Sequent Calculus
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LPAR
2005
Springer
14 years 4 months ago
Strong Normalization of the Dual Classical Sequent Calculus
We investigate some syntactic properties of Wadler’s dual calculus, a term calculus which corresponds to classical sequent logic in the same way that Parigot’s λµ calculus co...
Daniel J. Dougherty, Silvia Ghilezan, Pierre Lesca...
PPDP
2004
Springer
14 years 4 months ago
Characterizing strong normalization in a language with control operators
We investigate some fundamental properties of the reduction relation in the untyped term calculus derived from Curien and Herbelin’s λµµ. The original λµµ has a system of ...
Daniel J. Dougherty, Silvia Ghilezan, Pierre Lesca...
TLCA
2007
Springer
14 years 5 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
CORR
2010
Springer
140views Education» more  CORR 2010»
13 years 11 months ago
Classical BI: Its Semantics and Proof Theory
We present Classical BI (CBI), a new addition to the family of bunched logics which originates in O'Hearn and Pym's logic of bunched implications BI. CBI differs from exi...
James Brotherston, Cristiano Calcagno
RTA
2007
Springer
14 years 5 months ago
Simple Proofs of Characterizing Strong Normalization for Explicit Substitution Calculi
We present a method of lifting to explicit substitution calculi some characterizations of the strongly normalizing terms of λ-calculus by means of intersection type systems. The m...
Kentaro Kikuchi