We give a sound and complete propositional S5 tableau system of a particularly simple sort, having an easy completeness proof. It sheds light on why the satisfiability problem for...
We study the complexity of the model checking problem, for fixed models A, over certain fragments L of first-order logic, obtained by restricting which of the quantifiers and boole...
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Nested words are a structured model of execution paths in procedural programs, reflecting their call and return nesting structure. Finite nested words also capture the structure ...
The syntactic approach to epistemic logic avoids the logical omniscience problem by taking knowledge as primary rather than as defined in terms of possible worlds. In this study, ...