: Two difficult issues for the logic of knowledge have been logical omniscience and common knowledge. Our existing logics of knowledge based on Kripke structures seem to justify lo...
We investigate mca-programs, that is, logic programs with clauses built of monotone cardinality atoms of the form kX , where k is a non-negative integer and X is a finite set of ...
This paper presents statistical default logic, an expansion of classical (i.e., Reiter) default logic that allows us to model common inference patterns found in standard inferenti...
Modal logics based on Kripke style semantics are the prominent formalismin AI for modeling beliefs. Kripke semantics involve a collection of possible worlds and a relation among t...
We show the decidability of model checking PA-processes against several first-order logics based upon the reachability predicate. The main tool for this result is the recognizabil...