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The Computer Journal 1999 42(3):177-192; doi:10.1093/comjnl/42.3.177
© 1999 by British Computer Society
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Animating Formal Proof at the Surface: The Jape Proof Calculator

Richard BornatA1 and Bernard SufrinA2

A1 Department of Computer Science, Queen Mary and Westfield College, University of London, UK Email: richard@dcs.qmw.ac.uk A2 Programming Research Group, University of Oxford, 8-11 Keble Road, Oxford, UK Email: sufrin@comlab.ox.ac.uk

Jape is a program which supports the step-by-step interactive development of proofs in formal logics, in the style of proofs-on-paper. It is uncommitted to any particular logic and is customized by a description of a collection of inference rules and the syntax of judgements. It works purely at the surface syntactic level, as a person working on paper might. In that spirit it makes use of explicit visible provisos rather than a conventional encoding of logical properties. Its principal mechanism is unification, employed as a search tool to defer decisions about how to proceed at difficult points in a proof. The design aim is to produce a tool which makes step-by-step proof calculations so straightforward that novices can learn by exploring the use of a pre-encoded logic. Examples of proof development are given in several small logics.

Received 18 November, 1994. Revised 28 April, 1999.


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