This paper is concerned with a proof-theoretic observation about two kinds of proof systems for regular cyclic objects. It is presented for the case of two formal systems that are...
Abstract. We instrument a higher-order logic programming search procedure to generate and check small proof witnesses for the Twelf system, an implementation of the logical framewo...
Abstract. We give the first mechanized proof of the fact that for showing termination of a term rewrite system, we may restrict to well-formed terms using just the function symbols...
We describe novel computational techniques for constructing induction rules for deductive synthesis proofs. Deductive synthesis holds out the promise of automated construction of ...
Alan Bundy, Lucas Dixon, Jeremy Gow, Jacques D. Fl...
Proofs in the Nuprl system, an implementation of a constructive type theory, yield “correct-by-construction” programs. In this paper a new methodology is presented for extract...