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Constructive definition of certain analytic sets of numbers

Published online by Cambridge University Press:  12 March 2014

P. Lorenzen  and
J. Myhill
P. Lorenzen
Affiliation:
The Institute for Advanced Study
J. Myhill
Affiliation:
The Institute for Advanced Study
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Extract

According to Kleene [8] and Post [13] the definition of recursive relations (or sets) can be given most simply via the definition of recursively enumerable (r.e.) relations. The latter can be defined by finite systems of finite rules for deriving strings of symbols, each rule being of the form

each formula or being obtained by juxtaposition from atomic symbols and variables ranging over strings of atomic symbols.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 24 , Issue 1 , March 1959 , pp. 37 - 49
Copyright
Copyright © Association for Symbolic Logic 1959

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