Abstract. For a reasonable sound and complete proof calculus for firstorder logic consider the problem to decide, given a sentence of firstorder logic and a natural number n, whet...
In this paper, an approach to synthesize correct programs from specifications is presented. The idea is to extract code from definitions appearing in statements which have been me...
We introduce a new class of multiplicative proof nets, J-proof nets, which are a typed version of Faggian and Maurel's multiplicative L-nets. In J-proof nets, we can character...
We formalize two proofs of weak head normalization for the simply typed lambdacalculus in first-order minimal logic: one for normal-order reduction, and one for applicative-order ...
Malgorzata Biernacka, Olivier Danvy, Kristian St&o...
The well-known third list homomorphism theorem states that if a function h is both an instance of foldr and foldl, it is a list homomorphism. Plenty of previous works devoted to co...