$\prod_{1}^{0}$-POSITIVE INDUCTIVE DEFINABILITY ON ABSTRACT STRUCTURES

Заглавие$\prod_{1}^{0}$-POSITIVE INDUCTIVE DEFINABILITY ON ABSTRACT STRUCTURES
Вид публикацияJournal Article
Година на публикуване1998
АвториNikolova S
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том90
IssueLivre 1 - Mathématiques et Mecanique
Pagination91-108
ISSN0205-0808
ключови думиinductive definability, non-deterministic computability, points of $\forall$-definedness, prime computability
Резюме

Inductive definability by means of $\prod_{1}^{0}$-positive formulas is studied in the paper. An explicit characterization of the $\prod_{1}^{0}$-positive inductive sets on an arbitrary abstract structure with equality is presented. A relationship between these sets and the sets of all points of $\forall$-definedness of non-deterministic programs is established.

1991/95 MSC

03D70, 03D75

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