Logics for Access Control: A Conditional Approach

In this paper we provide a reconstruction of access control logics within constructive conditional logics, by regarding the assertion A says φ, whose intended meaning is that principal A says that φ, as a conditional implication. We identify the conditional axioms needed to capture the basic properties of the “says” operator and to provide a proper definition of boolean principals. Most of these axioms are standard axioms of conditional logics. We provide a Kripke model semantics for the logic and we prove that the axiomatization is sound and complete with respect to the semantics. Also, we define a sound, complete and cut-free labelled sequent calculus for it.