Title
Equality and fixpoints in the calculus of structures
Abstract
The standard proof theory for logics with equality and fixpoints suffers from limitations of the sequent calculus, where reasoning is separated from computational tasks such as unification or rewriting. We propose in this paper an extension of the calculus of structures, a deep inference formalism, that supports incremental and contextual reasoning with equality and fixpoints in the setting of linear logic. This system allows deductive and computational steps to mix freely in a continuum which integrates smoothly into the usual versatile rules of multiplicative-additive linear logic in deep inference.
Year
DOI
Venue
2014
10.1145/2603088.2603140
CSL-LICS
Keywords
Field
DocType
fixed points,deep inference,linear logic,proof theory,unification,theory
Deep inference,Discrete mathematics,Computer science,Natural deduction,Unification,Proof calculus,Sequent calculus,Proof theory,Noncommutative logic,Linear logic,Calculus
Conference
Citations 
PageRank 
References 
0
0.34
12
Authors
2
Name
Order
Citations
PageRank
Kaustuv Chaudhuri118416.81
Nicolas Guenot211.71