We review the close relationship between abstract machines for (call-by-name or call-by-value) λ-calculi (extended with Felleisen’s C) and sequent calculus, reintroducing on the...
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
We see a systematic set of cut-free axiomatisations for all the basic normal modal logics formed by some combination the axioms d, t, b, 4, 5. They employ a form of deep inference ...
The inverse method is a generic proof search procedure applicable to non-classical logics satisfying cut elimination and the subformula property. In this paper we describe a genera...
Abstract. We define sequent-style calculi for nominal tense logics characterized by classes of modal frames that are first-order definable by certain Π0 1 -formulae and Π0 2 -...