This paper presents an extension of a proof system for encoding generic judgments, the logic FOλ∆ of Miller and Tiu, with an induction principle. The logic FOλ∆ is itself an...
Temporal reasoning has always been a major test case for knowledge representation formalisms. In this paper, we develop an inductive variant of the situation calculus using the Lo...
Abstract. In this survey on implicit induction I recollect some memories on the history of implicit induction as it is relevant for future research on computer-assisted theorem pro...
We briefly review a mechanical theorem-prover for a logic of recursive functions over finitely generated objects including the integers, ordered pairs, and symbols. The prover, kn...