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Conditions for the completeness of functional and algebraic equational reasoning
Published online by Cambridge University Press: 01 December 1999
Abstract
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We consider the following question: in the simply-typed λ-calculus with algebraic operations, is the set of equations valid in a particular model exactly those provable from (β), (η) and the set of algebraic equations, E, that are valid in the model? We find conditions for determining whether βηE-equational reasoning is complete. We demonstrate the utility of the results by presenting a number of simple corollaries for particular models.
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- Type
- Research Article
- Information
- Copyright
- 1999 Cambridge University Press
Footnotes
A preliminary version titled ‘Algebraic Reasoning and Completeness in Typed Languages’ appeared in Twentieth ACM Conference on Principles of Programming Languages, pages 185–195, ACM Press, 1993.
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