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SLOGICA
1998
79views more  SLOGICA 1998»
13 years 5 months ago
Normal Natural Deduction Proofs (in classical logic)
Wilfried Sieg, John Byrnes
TLCA
2007
Springer
13 years 11 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
LICS
2007
IEEE
13 years 11 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...
KR
2000
Springer
13 years 9 months ago
Significant Inferences : Preliminary Report
We explore the possibility of a logic where a conclusion substantially improves over its premise(s): Specifically, we intend to rule out inference steps such that the premise conv...
Philippe Besnard, Torsten Schaub
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 5 months ago
Definitions by Rewriting in the Calculus of Constructions
Abstract : The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prov...
Frédéric Blanqui