Rippling: Meta-Level Guidance for Mathematical Reasoning
Rippling: Meta-Level Guidance for Mathematical Reasoning
David Basin , ETH Zentrum, Switzerland
Dieter Hutter , German Research Centre for Artificial Intelligence
Andrew Ireland , Heriot-Watt University, Edinburgh
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$140.00
USDThe automation of mathematical reasoning has been an important topic of research almost since computers were invented. The new technique of rippling, described here for the first time in book form, is designed to be an approach to mathematical reasoning that takes into account ideas of heuristics and searching. Rippling addresses the problem of combinatorial explosion which has proved a huge obstacle in the past, and the book offers a systematic and comprehensive introduction to this and to the wider subject of automated inductive theorem proving.
- Describes a brand new approach to automated reasoning
- Can be used with profit by students or software engineers working in software correctness and automated theorem proving
- First book on the subject
Product details
August 2005Hardback
9780521834490
216 pages
237 × 158 × 19 mm
0.475kg
1 b/w illus. 10 colour illus.
Available
Table of Contents
- 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.
