Title
Admissibility of Structural Rules for Extensions of Contraction-Free Sequent Calculi
Abstract
The contraction-free sequent calculus G4 for intuitionistic logic is extended by rules following a general rule-scheme for nonlogical axioms. Admissibility of structural rules for these extensions is proved in a direct way by induction on derivations. This method permits the representation of various applied logics as complete, contraction- and cut-free sequent calculus systems with some restricti...
Year
DOI
Venue
2001
10.1093/jigpal/9.4.541
Logic Journal of the IGPL
Keywords
Field
DocType
applied sequent calculus,contraction-free,apartness,conservativity
Algebra,Natural deduction,Proof calculus,Noncommutative logic,Sequent,Linear logic,Cut-elimination theorem,Mathematics,Curry–Howard correspondence
Journal
Volume
Issue
ISSN
9
4
1367-0751
Citations 
PageRank 
References 
3
0.47
3
Authors
2
Name
Order
Citations
PageRank
Roy Dyckhoff145249.09
Sara Negri230.81