We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Abstract. Inspired by the Curry-Howard correspondence, we study normalisation procedures in the depth-bounded intuitionistic sequent calculus of Hudelmaier (1988) for the implicati...
This paper presents a new program logic designed for facilitating automated reasoning about pointer programs. The program logic is directly inspired by previous work by O'Hea...
Abstract. Bi-intuitionistic logic is a conservative extension of intuitionistic logic with a connective dual to implication, called exclusion. We present a sound and complete cut-f...
Logical frameworks serve as meta-languages to represent deductive systems, sometimes requiring special purpose meta logics to reason about the representations. In this work, we de...