We define the notions of a canonical inference rule and a canonical constructive system in the framework of strict single-conclusion Gentzen-type systems (or, equivalently, natural...
We investigate some syntactic properties of Wadler’s dual calculus, a term calculus which corresponds to classical sequent logic in the same way that Parigot’s λµ calculus co...
Daniel J. Dougherty, Silvia Ghilezan, Pierre Lesca...
In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in t...
In this paper, we propose a new proof method for strong normalization of calculi with control operators, and, by this method, we prove strong normalization of the system