Review of heuristics for generalisation

Vadera, S

Abstract

Proof by induction plays a central role in showing that recursive programs satisfy their specification. Sometimes a key step is to generalise a lemma so that its inductive proof is easier.

Existing heuristics for generalisation for induction are examined. The applicability of heuristics for generalisation is also examined, and it is shown that
the kind of examples on which some of the heuristics work best form a well defined class of problems. A class of generalisation problems is identified for which none of the methods work, and directions for future research are provided.

Citation

Vadera, S. (1995). Review of heuristics for generalisation. Software engineering journal, 10(4), 118-123

• Journal Article Type: Article
• Publication Date: Jul 1, 1995
• Deposit Date: Feb 16, 2011
• Publicly Available Date: Apr 5, 2016
• Journal: Software Engineering Journal
• Print ISSN: 0268-6961
• Peer Reviewed: Peer Reviewed
• Volume: 10
• Issue: 4
• Pages: 118-123
• Keywords: Formal Methods, VDM, Proof by induction
• Publisher URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=9080
• Additional Information: Corporate Creators : Sunil Vadera