FIRST ORDER AXIOMATIZABILITY OF RECURSION THEORY IN CARTESIAN LINEAR COMBINATORY ALGEBRAS

Authors

  • Jordan Zashev

Keywords:

Algebraic recursion theory, axiomatic recursion theory, combinatory algebras

Abstract

A modification of recursion theorem in Cartesian linear combinatory algebras is proved which yields first order formalizability of theory of the last algebras. Some other improvements of this theory are demonstrated.

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Published

1998-12-12

How to Cite

Zashev, J. (1998). FIRST ORDER AXIOMATIZABILITY OF RECURSION THEORY IN CARTESIAN LINEAR COMBINATORY ALGEBRAS. Ann. Sofia Univ. Fac. Math. And Inf., 90, 41–50. Retrieved from https://annual.uni-sofia.bg/index.php/fmi/article/view/285