Degrees of automata transformations

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Název: Degrees of automata transformations
Autoři: Bajrasheva, V. R.
Informace o vydavateli: Kazan State University (Kazanskiĭ Gosudarstvennyĭ Universitet), Kazan
Témata: category methods in recursion theory, Other degrees and reducibilities in computability and recursion theory, Formal languages and automata, Automata and formal grammars in connection with logical questions, Abstract and axiomatic computability and recursion theory, complete degrees
Popis: Using the logical framework of \textit{G. Rejna} [Degrees of automata transformations (Russian) (Moscow, 1977)] and results of H. G. Gordon on complete degrees of finite-state transformability as points of entry, the author proves several category-theoretic results on complete degrees analogous to various results by J. Myhill and by H. Rogers on category methods in recursion theory. Some proofs make good use of Zorn's lemma in effective computability.
Druh dokumentu: Article
Popis souboru: application/xml
Přístupová URL adresa: https://zbmath.org/3904569
Přístupové číslo: edsair.c2b0b933574d..307fd2c59ef3fde99c4d45cbbf53c1c2
Databáze: OpenAIRE
Popis
Abstrakt:Using the logical framework of \textit{G. Rejna} [Degrees of automata transformations (Russian) (Moscow, 1977)] and results of H. G. Gordon on complete degrees of finite-state transformability as points of entry, the author proves several category-theoretic results on complete degrees analogous to various results by J. Myhill and by H. Rogers on category methods in recursion theory. Some proofs make good use of Zorn's lemma in effective computability.