1959Journal of Symbolic LogicRequires access

Enumeration of Recursive Sets

Yoshindo Suzuki

Open publisher page 12 citations

Abstract

It is known [1] p. 312 that a simultaneous enumeration of the recursively enumerable sets can be achieved by a Σ10-predicate. We shall show that a simultaneous enumeration of the recursive sets can be achieved by a predicate of the same form.

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What this paper is about

It is known [1] p. 312 that a simultaneous enumeration of the recursively enumerable sets can be achieved by a Σ10-predicate. We shall show that a simultaneous enumeration of the recursive sets can be achieved by a predicate of the same form.

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OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

It is known [1] p. 312 that a simultaneous enumeration of the recursively enumerable sets can be achieved by a Σ10-predicate. We shall show that a simultaneous enumeration of the recursive sets can be achieved by a predicate of the same form.

Key concepts: Enumeration, Recursively enumerable language, Predicate (mathematical logic), Maximal set, Mathematics, Discrete mathematics, Computer science, Combinatorics

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