Abstract. Modal logics see a wide variety of applications in artificial intelligence, e.g. in reasoning about knowledge, belief, uncertainty, agency, defaults, and relevance. From ...
We present a PSpace algorithm that decides satisfiability of the graded modal logic Gr(KR)—a natural extension of propositional modal logic KR by counting expressions—which pl...
abstract. The aim of the present paper is to analyze the complexity of strict implication (together with falsum, conjunction and disjunction). We prove that Ladner's Theorem r...
We analyze the computational complexity of kCFA, a hierarchy of control flow analyses that determine which functions may be applied at a given call-site. This hierarchy specifies ...
In this paper we prove that Japaridze's Polymodal Logic is PSPACE-decidable. To show this, we describe a decision procedure for satisfiability on hereditarily ordered frames t...