Most known constructions of probabilistically checkable proofs (PCPs) either blow up the proof size by a large polynomial, or have a high (though constant) query complexity. In thi...
Abstract We investigate here a new version of the Calculus of Inductive Constructions (CIC) on which the proof assistant Coq is based: the Calculus of Congruent Inductive Construct...
mentation of the Abstraction Method In Coq Eelis van der Weegen Institute for Computing and Information Sciences Raboud University Nijmegen This technical report documents our deve...
Herman Geuvers, Adam Koprowski, Dan Synek, Eelis v...
Abstract. We present a uniform algorithm for transforming machine-found matrix proofs in classical, constructive, and modal logics into sequent proofs. It is based on unified repre...
New, simple, proofs of soundness (every representable function lies in a given complexity class) for Elementary Affine Logic, LFPL and Soft Affine Logic are presented. The proofs ...