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The Clausal Theory of Types
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Logic programming was based on first-order logic. Higher-order logics can also lead to theories of theorem-proving. This book introduces just such a theory, based on a lambda-calculus formulation of a clausal logic with equality, known as the Clausal Theory of Types. By restricting this logic to Horn clauses, a concise form of logic programming that incorporates functional programming is achieved. The book begins by reviewing the fundamental Skolem-Herbrand-Gödel Theorem and resolution, which are then extrapolated to a higher-order setting; this requires introducing higher-order equational unification which builds in higher-order equational theories and uses higher-order rewriting. The logic programming language derived has the unique property of being sound and complete with respect to Henkin-Andrews general models, and consequently of treating equivalent terms as identical. First published in 1993, the book can be used for graduate courses in theorem-proving, but will be of interest to all working in declarative programming.
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Cambridge University Press; April 1993
134 pages; ISBN 9780511832628
Read online, or download in secure PDF format
134 pages; ISBN 9780511832628
Read online, or download in secure PDF format
Subject categories
- Academic > Computer Science > Computer science
- Academic > Computer Science > Computer programming
- Academic > Computer Science > Logic programming
- Academic > Mathematics > Instruments and machines
- Computers > Programming > Object Oriented
- Computers > Programming Languages
- Computers > Mathematical & Statistical Software
ISBNs
0511832621
9780511832628
9780521395380