Dynamic logic as a uniform framework for theorem proving in intensional logic

Abstract

Dynamic logic is proposed as a uniform framewok for theorem proving in propositional intensional logic. Satisfiability and unsatisfiability preserving translations from various modal, deontic, epistemic, temporal, and intuitionistic calculi into dynamic logic calculi are defined and partly proved to be correct. The translations unify theorem proving in intensional logic by using dynamic logic as an intermediate logic for which the actual theorem provers can be implemented.KeywordsModal LogicTheorem ProveAtomic FormulaAccessibility RelationDeontic LogicThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.