Rippling: Meta-Level Guidance for Mathematical Reasoning

Klappentext Rippling is a radically new technique for the automation of mathematical reasoning. It is widely applicable whenever a goal is to be proved from one or more syntactically similar givens. It was originally developed for inductive proofs, where the goal was the induction conclusion and the givens were the induction hypotheses. It has proved to be applicable to a much wider class of tasks, from summing series via analysis to general equational reasoning. The application to induction has especially important practical implications in the building of dependable IT systems, and provides solutions to issues such as the problem of combinatorial explosion. Rippling is the first of many new search control techniques based on formula annotation; some additional annotated reasoning techniques are also described here. This systematic and comprehensive introduction to rippling, and to the wider subject of automated inductive theorem proving, will be welcomed by researchers and graduate students alike. Zusammenfassung The new technique of rippling and its use in automated reasoning are described here. The method uses heuristics and search to help address the problem of combinatorial explosion. The book provides a unique! systematic and comprehensive introduction to this and to the wider subject of automated inductive theorem proving. Inhaltsverzeichnis Preface; 1. An introduction to rippling; 2. Varieties of rippling; 3. Productive use of failure; 4. A formal account of rippling; 5. The scope and limitations of rippling; 6. From rippling to a general methodology; 7. Conclusions; Appendix 1. An annotated calculus and a unification algorithm; Appendix 2. Definitions of functions used in this book; Bibliography; Index.

Détails du produit

• Auteurs: David Basin, David (ETH Zentrum Basin, Alan Bundy, Alan (University of Edinburgh) Bundy, Alan (University of Edinburgh) Basin Bundy, Alan Basin Bundy, Dieter Hutter, Andrew (Heriot-Watt University Ireland
• Collaboration: David Basin (Editeur), Alan Bundy (Editeur), Dieter Hutter (Editeur)
• Edition: Cambridge University Press ELT
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 30.06.2005
• EAN: 9780521834490
• ISBN: 978-0-521-83449-0
• Pages: 216
• Thèmes: Cambridge Tracts in Theoretica; Cambridge Tracts in Theoretical Computer Science; Cambridge Tracts in Theoretica
• Catégories: Livres de conseils; Sciences naturelles, médecine, informatique, technique > Informatique, ordinateurs > Informatique