We formalise and mechanise a construtive, proof theoretic proof of Craig's Interpolation Theorem in Isabelle/HOL. We give all the definitions and lemma statements both formal...
In any nonstandard model of Peano arithmetic, the standard part is not first order definable. But we show that in some model the standard part is definable as the unique solution ...
We introduce a temporal logic TAL and prove that it has several nice features. The formalism is a two-dimensional modal system in the sense that formulas of the language are evalua...
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...
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...