Avron, Arnon and Lahav, Ori - On Constructive Connectives and Systems

lmcs:967 - Logical Methods in Computer Science, December 25, 2010, Volume 6, Issue 4
On Constructive Connectives and Systems

Authors: Avron, Arnon and Lahav, Ori

Canonical inference rules and canonical systems are defined in the framework of non-strict single-conclusion sequent systems, in which the succeedents of sequents can be empty. Important properties of this framework are investigated, and a general non-deterministic Kripke-style semantics is provided. This general semantics is then used to provide a constructive (and very natural), sufficient and necessary coherence criterion for the validity of the strong cut-elimination theorem in such a system. These results suggest new syntactic and semantic characterizations of basic constructive connectives.

DOI : 10.2168/LMCS-6(4:12)2010
Volume: Volume 6, Issue 4
Published on: December 25, 2010
Submitted on: June 28, 2010
Keywords: Computer Science - Logic in Computer Science,F.4.1, I.2.3


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