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...
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...
We consider two sequent calculi for tense logic in which the syntactic judgements are nested sequents, i.e., a tree of traditional onesided sequents built from multisets of formula...
We develop a polarised variant of Curien and Herbelin’s ¯λµ˜µ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised ...
Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus...