A Basis for a Mathematical Theory of Computation

A Basis for a Mathematical Theory of Computation was presented in 1961 at the Western Joint Computer Conference and in 1962 at a symposium sponsored by IBM in Blaricum, Netherlands. Among other things, it includes a systematic theory of conditional expressions, a treatment of their recursive use and the method of recursion induction for proving properties of recursively defined functions. It was published in 1963 in Computer Programming and Formal Systems, edited by by P. Braffort and D. Hirschberg and published by North-Holland.

Towards a Mathematical Science of Computation is a companion paper.

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