Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663065 | Journal of Applied Logic | 2009 | 18 Pages |
Abstract
We present the theoretical foundation, design, and implementation, of a system that automatically determines the subset relation between two given axiomatizations of propositional modal logics. This is an open problem for automated theorem proving. Our system solves all but six out of 121 instances formed from 11 common axiomatizations of seven modal logics. Thus, although the problem is undecidable in general, our approach is empirically successful in practically relevant situations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Florian Rabe, Petr Pudlák, Geoff Sutcliffe, Weina Shen,