Title
A formal framework for specifying sequent calculus proof systems
Abstract
Intuitionistic logic and intuitionistic type systems are commonly used as frameworks for the specification of natural deduction proof systems. In this paper we show how to use classical linear logic as a logical framework to specify sequent calculus proof systems and to establish some simple consequences of the specified sequent calculus proof systems. In particular, derivability of an inference rule from a set of inference rules can be decided by bounded (linear) logic programming search on the specified rules. We also present two simple and decidable conditions that guarantee that the cut rule and non-atomic initial rules can be eliminated.
Year
DOI
Venue
2013
10.1016/j.tcs.2012.12.008
Theor. Comput. Sci.
Keywords
DocType
Volume
Intuitionistic logic,simple consequence,specified sequent calculus proof,natural deduction proof system,non-atomic initial rule,logic programming search,classical linear logic,formal framework,sequent calculus proof system,inference rule,cut rule
Journal
474,
ISSN
Citations 
PageRank 
0304-3975
17
0.80
References 
Authors
31
2
Name
Order
Citations
PageRank
Dale Miller12485232.26
Elaine Pimentel211914.78