Publication
Coalgebraic Modal Logic in CoCASL
Lutz Schröder; Till Mossakowski
In: José Luiz Fiadeiro (Hrsg.). Recent Trends in Algebraic Development Techniques, 18th International Workshop, WADT 2006. International Workshop on Algebraic Development Techniques (WADT-2006), June 1-3, La Roche en Ardenne, Belgium, Pages 128-142, Lecture Notes in Computer Science (LNCS), Vol. 4409, Springer, 2007.
Abstract
We propose to extend the algebraic-coalgebraic specification language CoCASL by full coalgebraic modal logic based on predicate liftings for functors. This logic is more general than the modal logic previously used in CoCASL and supports the specification of a variety of modal logics, such as graded modal logic, majority logic, and probabilistic modal logic. CoCASL thus becomes a modern modal language that covers a wide range of Kripke and non-Kripke semantics of modal logics via the coalgebraic interpretation.