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Collage induction: proving properties of logic programs by program synthesis
Linköping University, Department of Computer and Information Science. Linköping University, The Institute of Technology.
1994 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

The motivation behind this thesis is to formally prove programs correct. The contributions are twofold:Firstly, a new rule of mathematical induction called collage induction, is introduced, which treats mathematical induction as a natural generalization of the CUT-rule. Conceptually the rule can be understood as follows: To prove an implication G ? D, an inductively defined property p is constructed such that G ? p. The implication p ? D is then proved by induction according to the definition of p.Secondly, a program synthesis method for extracting programs from proofs in Extended Execution, is generalized to allow the relations defining p to be synthesized from the proof of an induction lemma.

Place, publisher, year, edition, pages
Linköping: Univ. , 1994. , p. 124
Series
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 464
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-163437Local ID: LiU-Tek-Lic-1994:50ISBN: 917871463X (print)OAI: oai:DiVA.org:liu-163437DiVA, id: diva2:1391659
Available from: 2020-02-05 Created: 2020-02-05 Last updated: 2020-02-05Bibliographically approved

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