Abstract
We establish a generic upper bound ExpTime for reasoning with global assumptions in coalgebraic modal logics. Unlike earlier results of this kind, we do not require a tractable set of tableau rules for the in- stance logics, so that the result applies to wider classes of logics. Examples are Presburger modal logic, which extends graded modal logic with linear inequalities over numbers of successors, and probabilistic modal logic with polynomial inequalities over probabilities. We establish the theoretical upper bound using a type elimination algorithm. We also provide a global caching algorithm that offers potential for practical reasoning.
Original language | English |
---|---|
Pages | 367-380 |
Number of pages | 14 |
DOIs | |
Publication status | Published - 4 Aug 2015 |
Event | 20th International Symposium on Fundamentals of Computation Theory - Gdansk, Poland, Poland Duration: 17 Aug 2015 → 19 Aug 2015 |
Conference
Conference | 20th International Symposium on Fundamentals of Computation Theory |
---|---|
Country/Territory | Poland |
City | Gdansk, Poland |
Period | 17/08/15 → 19/08/15 |
Keywords
- coalgebraic modal logic
- elimination algorithm
- a global caching algorithm