We prove the strong normalization of full classical natural deduction (i.e. with conjunction, disjunction and permutative conversions) by using a translation into the simply typed...
This paper presents simple, syntactic strong normalization proofs for the simply-typed -calculus and the polymorphic -calculus (system F) with the full set of logical connectives, ...
Pure Pattern Type Systems (P2 TS) combine in a unified setting the capabilities of rewriting and λ-calculus. Their type systems, adapted from Barendregt’s λ-cube, are especial...
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...
We introduce a new unification procedure for the type inference problem in the intersection type discipline. It is well known that type inference in this case should succeed exact...