abstract. We establish that the quantifier alternation hierarchy of formulae of Second-Order Propositional Modal Logic (SOPML) induces an infinite corresponding semantic hierarchy ...
We introduce and study higher-order coalition logic, a multi modal monadic second-order logic with operators [{x}] expressing that the coalition of all agents satisfying (x) can ac...
Guido Boella, Dov M. Gabbay, Valerio Genovese, Lee...
We propose a general semantic notion of modal many-valued logic. Then, we explore the difficulties to characterize this notation in a syntactic way and analyze the existing litera...
Two things are done in this paper. First, a modal logic in which one can quantify over both objects and concepts is presented; a semantics and a tableau system are given. It is a n...
We introduce our implemented modal logic programming system MProlog. This system is written in Prolog as a module for Prolog. Codes, libraries, and most features of Prolog can be u...