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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 316, Pages 147–162 (Mi znsl730)  

A new decidable Horn fragment of the predicate calculus

V. P. Orevkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
References:
Abstract: We describe an extension of the class $\forall\exists$ of Horn formulas in the predicate calculus. We prove the decidability of this class. We describe complexity characteristics such that fixing them splits this extended class into polynomially decidable subclasses. If one fixes the maximum arity of predicates, our class splits into subclasses belonging to NP.
Received: 02.12.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 134, Issue 5, Pages 2403–2410
DOI: https://doi.org/10.1007/s10958-006-0117-7
Bibliographic databases:
UDC: 510.635+510.57
Language: Russian
Citation: V. P. Orevkov, “A new decidable Horn fragment of the predicate calculus”, Computational complexity theory. Part IX, Zap. Nauchn. Sem. POMI, 316, POMI, St. Petersburg, 2004, 147–162; J. Math. Sci. (N. Y.), 134:5 (2006), 2403–2410
Citation in format AMSBIB
\Bibitem{Ore04}
\by V.~P.~Orevkov
\paper A~new decidable Horn fragment of the predicate calculus
\inbook Computational complexity theory. Part~IX
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 316
\pages 147--162
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl730}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2113062}
\zmath{https://zbmath.org/?q=an:1088.03011}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 134
\issue 5
\pages 2403--2410
\crossref{https://doi.org/10.1007/s10958-006-0117-7}
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