A Model for Capturing and Replaying Proof Strategies

Freitas, L; Jones, CB; Velykis, A; Whiteside, I

doi:10.1007/978-3-319-12154-3_12

A Model for Capturing and Replaying Proof Strategies

Lookup NU author(s): Dr Leo Freitas, Emeritus Professor Cliff Jones ORCiD, Dr Andrius Velykis, Dr Iain Whiteside

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Abstract

© Springer International Publishing Switzerland 2014.Modern theorem provers can discharge a significant proportion of Proof Obligation (POs) that arise in the use of Formal Method (FMs). Unfortunately, the residual POs require tedious manual guidance. On the positive side, these “difficult” POs tend to fall into families each of which requires only a few key ideas to unlock. This paper outlines a system that can lessen the burden of FM proofs by identifying and characterising ways of discharging POs of a family by tracking an interactive proof of one member of the family. This opens the possibility of capturing ideas — represented as proof strategies — from an expert and/or maximising reuse of ideas after changes to definitions. The proposed system has to store a wealth of meta-information about conjectures, which can be matched against previously learned strategies, or can be used to construct new strategies based on expert guidance.