A well-known polymodal provability logic GLP is complete w.r.t. the arithmetical semantics where modalities correspond to reflection principles of restricted logical complexity in...
We present a sound and complete proof technique, based on syntactic logical relations, for showing contextual equivalence of expressions in a -calculus with recursive types and imp...
We present an algorithm to solve XPath decision problems under regular tree type constraints and show its use to statically typecheck XPath queries. To this end, we prove the deci...
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...
Abstract. Tile sets and tilings of the plane appear in many topics ranging from logic (the Entscheidungsproblem) to physics (quasicrystals). The idea is to enforce some global prop...
Bruno Durand, Andrei E. Romashchenko, Alexander Sh...