Abstract. We prove that interactive learning based classical realizability (introduced by Aschieri and Berardi for first order arithmetic [1]) is sound with respect to Coquand game...
This paper introduces a logical system, called BV , which extends multiplicative linear logic by a non-commutative self-dual logical operator. This extension is particularly challe...
Pure, or type-free, Linear Logic proof nets are Turing complete once cut-elimination is5 considered as computation. We introduce modal impredicativity as a new form of impredicati...
This paper continues the investigation of the connection between probabilistically checkable proofs PCPs the approximability of NP-optimization problems. The emphasis is on prov...
Consider a collection of random variables attached to the vertices of a graph. The reconstruction problem requires to estimate one of them given ‘far away’ observations. Sever...