Title :
On Hoare logic and Kleene algebra with tests
Author_Institution :
Dept. of Comput. Sci., Cornell Univ., Ithaca, NY, USA
Abstract :
We show that Kleene algebra with tests subsumes propositional Hoare logic. Thus the specialized syntax and deductive apparatus of Hoare logic are inessential and can be replaced by simple equational reasoning. We show using this reduction that propositional Hoare logic is PSPACE-complete
Keywords :
formal logic; Hoare logic; Kleene algebra; PSPACE-complete; equational reasoning; syntax; Algebra; Computer science; Dynamic programming; Encoding; Equations; Logic functions; Logic programming; Logic testing; Page description languages; Principal component analysis;
Conference_Titel :
Logic in Computer Science, 1999. Proceedings. 14th Symposium on
Conference_Location :
Trento
Print_ISBN :
0-7695-0158-3
DOI :
10.1109/LICS.1999.782610