Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandomnumber generators do not exist. This famous result is ...
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
We pursue the program of exposing the intrinsic mathematical structure of the “space of proofs” of a logical system [AJ94b]. We study the case of Multiplicative-Additive Linea...
Placing our result in a web of related mechanised results, we give a direct proof that the de Bruijn λ-calculus (`a la Huet, Nipkow and Shankar) is isomorphic to an α-quotiented ...
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...