@MISC{Endriss99aninteractive, author = {Ulrich Endriss}, title = {An Interactive Theorem Proving Assistant}, year = {1999} }

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Abstract

. This paper describes WinKE, an interactive proof assistant, which is based on the KE calculus. The software has been designed to serve as a tutoring system supporting the teaching of logic and theorem proving through KE. 1 Introduction The KE calculus [4] is a refutation system close to the common method of semantic tableaux. The main difference between the two is, that KE is explicitly not cut-free. Its analytic cut rule, PB, is the only branching rule of the system. Elsewhere [3] it has been argued that KE might be better suited for teaching elementary classical logic than for instance Tableau. The first logic textbook based on KE has been published recently [5]. Even though KE proofs are essentially shorter than Tableau proofs [3, 4], the traditional way of manually building up such trees is -- within the teaching context -- hardly feasible for examples exceeding, say, five branches, and is in general very time consuming and error-prone. The use of a proof assistant with a s...