—We design an intuitionistic predicate logic that supports a limited amount of classical reasoning, just enough to prove a variant of Markov’s principle suited for predicate lo...
We describe an approach to using one logic to reason about specifications written in a second logic. One level of logic, called the "reasoning logic", is used to state th...
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Let R be a class of generators of node-labelled infinite trees, and L be a logical language for describing correctness properties of these trees. Given R R and L, we say that R ...
Christopher H. Broadbent, Arnaud Carayol, C.-H. Lu...
now of a number of ways of developing Real Analysis on a basis of abstraction principles and second-order logic. One, outlined by Shapiro in his contribution to this volume, mimic...