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Recursion theory and the lambda-calculus

Published online by Cambridge University Press:  12 March 2014

Robert E. Byerly
Robert E. Byerly*
Affiliation:
Ohio State University, Columbus, Ohio 43210
*
Texas Tech University, Lubbock, Texas 79409
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Abstract

A semantics for the lambda-calculus due to Friedman is used to describe a large and natural class of categorical recursion-theoretic notions. It is shown that if e1 and e2 are gödel numbers for partial recursive functions in two standard ω-URS's which both act like the same closed lambda-term, then there is an isomorphism of the two ω-URS's which carries e1 to e2.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 47 , Issue 1 , March 1982 , pp. 67 - 83
Copyright
Copyright © Association for Symbolic Logic 1982

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References

REFERENCES

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