Title
Substructural logic and partial correctness
Abstract
We formulate a noncommutative sequent calculus for partial correctness that subsumes propositional Hoare Logic. Partial correctness assertions are represented by intuitionistic linear implication. We prove soundness and completeness over relational and trace models. As a corollary, we obtain a complete sequent calculus for inclusion and equivalence of regular expressions.
Year
DOI
Venue
2003
10.1145/772062.772066
ACM Trans. Comput. Log.
Keywords
Field
DocType
dynamic logic,linear logic,hoare logic,noncommutative sequent calculus,trace model,substructural logic,regular expression,kleene algebra,sequent calculus,complete sequent calculus,intuitionistic linear implication,specification,propositional hoare logic,kleene algebra with tests,partial correctness,partial correctness assertion
Discrete mathematics,Algebra,Natural deduction,Hoare logic,Sequent calculus,Substructural logic,Noncommutative logic,Sequent,Linear logic,Cut-elimination theorem,Mathematics
Journal
Volume
Issue
Citations 
4
3
11
PageRank 
References 
Authors
0.69
15
2
Name
Order
Citations
PageRank
Dexter C. Kozen15108912.56
Jerzy Tiuryn21210126.00