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Sbornik: Mathematics, 2002, Volume 193, Issue 2, Pages 157–186
DOI: https://doi.org/10.1070/SM2002v193n02ABEH000625 (Mi sm625) 		 
Decidability of classes of algebraic systems in polynomial time

M. I. Anokhin

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.1070/SM2002v193n02ABEH000625
Abstract: For some classes of algebraic systems several kinds of polynomial-time decidability are considered, which use an oracle performing signature operations and computing predicates. Relationships between various kinds of decidability are studied. Several results on decidability and undecidability in polynomial time are proved for some finitely based varieties of universal algebras.
Received: 13.11.2000
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 2, Pages 3–34
DOI: https://doi.org/10.4213/sm625
Bibliographic databases:
UDC: 510.52+510.53+510.67
MSC: 08A70, 68Q10, 68Q25
Language: English
Original paper language: Russian
Citation: M. I. Anokhin, “Decidability of classes of algebraic systems in polynomial time”, Mat. Sb., 193:2 (2002), 3–34; Sb. Math., 193:2 (2002), 157–186
Citation in format AMSBIB
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    Russian version PDF:179
    English version PDF:7
    References:73
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