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Computational Lambda-Calculus and Monads Export

In Proceedings 4th Annual IEEE Symp.\ on Logic in Computer Science, LICS'89, Pacific Grove, CA, USA, 5--8 June 1989 (1989), pp. 14-23.

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The lambda-calculus is considered an useful mathematical tool in the study of programming languages. However, if one uses beta-eta-conversion to prove equivalence of programs, then a gross simplification is introduced. We give a calculus based on a categorical semantics for computations, which provides a correct basis for proving equivalence of programs, independent from any specific computational model.


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