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The eighth International сonference "Advances in Modal Logic" (AiML 2010)
August 25, 2010 15:00, Moscow
 


On modal logics of linear inequalities

Clemens Kupke, Dirk Pattinson
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Clemens Kupke, Dirk Pattinson


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Abstract: We consider probabilistic modal logic, graded modal logic and stochastic modal logic, where linear inequalities may be used to express numerical constraints between quantities. For each of the logics, we construct a cut-free sequent calculus and show soundness with respect to a natural class of models. The completeness of the associated sequent calculi is then established with the help of coalgebraic semantics which gives completeness over a (typically much smaller) class of models. With respect to either semantics, it follows that the satisfiability problem of each of these logics is decidable in polynomial space.

Language: English

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