Sequential Calculi for Symmetric Dynamic Logic

The algorithmic logic of Salwicki (1970, 1977) and dynamic logic of Pratt (1976, 1979) represent a rather successful synthesis of modal logic and Hoare’s (1969) logic. Algorithmic and dynamic logics are of great importance not only in computer science but also in mathematics: Ershov (1983) has shown that dynamic logic is closely related to admissible sets.