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Solving the $100 modal logic challenge
Journal article   Open access  Peer reviewed

Solving the $100 modal logic challenge

Florian Rabe, Petr Pudlák, Geoff Sutcliffe and Weina Shen
Journal of applied logic, Vol.7(1), pp.113-130
2009

Abstract

100 challenge Modal logic Subset relationship
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.
url
https://doi.org/10.1016/j.jal.2007.07.007View
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Citation topics
10 Arts & Humanities
10.126 Philosophy
10.126.852 Frege
Web Of Science research areas
Computer Science, Artificial Intelligence
Computer Science, Theory & Methods
Logic
Mathematics, Applied
ESI research areas
Computer Science

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