This paper presents an extension of a proof system for encoding generic judgments, the logic FOλ∆ of Miller and Tiu, with an induction principle. The logic FOλ∆ is itself an...
For a number of programming languages, among them Eiffel, C, Java and Ruby, Hoare-style logics and dynamic logics have been developed. In these logics, pre- and postconditions are ...
The modalities of Dynamic Logic refer to the final state of a program execution and allow to specify programs with pre- and postconditions. In this paper, we extend Dynamic Logic w...
er presents an abstraction of Hoare logic to traced symmetric monoidal categories, a eral framework for the theory of systems. Our abstraction is based on a traced monoidal functor...
Rob Arthan, Ursula Martin, Erik A. Mathiesen, Paul...
We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the ...