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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 241, Pages 117–134 (Mi znsl484)  
This article is cited in 1 scientific paper (total in 1 paper)

Refinement of bounds of the heights of terms in the most general unifer

B. Yu. Konev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (247 kB) Citations (1)
Abstract: We consider the most general unifer of a pair of terms. Our goal is to estimate the heights of terms in the unifer respect to the depth differences of variables in given terms. The depth difference of a variable is the maximum of the differences between the depths of occurrences of the variable in the terms. Such bounds are useful in finding upper bounds of the heights of terms in proofs in Gentzen-type sequential calculi. We construct a series of examples proving an exponential lower bound on the heights of terms in the most general unifer. We also improve the previously known upper bound of heights in the most general unifer.
Received: 20.04.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 98, Issue 4, Pages 490–499
DOI: https://doi.org/10.1007/BF02362269
Bibliographic databases:
UDC: 510.64
Language: Russian
Citation: B. Yu. Konev, “Refinement of bounds of the heights of terms in the most general unifer”, Studies in constructive mathematics and mathematical logic. Part X, Zap. Nauchn. Sem. POMI, 241, POMI, St. Petersburg, 1997, 117–134; J. Math. Sci. (New York), 98:4 (2000), 490–499
Citation in format AMSBIB
\Bibitem{Kon97}
\by B.~Yu.~Konev
\paper Refinement of bounds of the heights of terms in the most general unifer
\inbook Studies in constructive mathematics and mathematical logic. Part~X
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 241
\pages 117--134
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl484}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1706198}
\zmath{https://zbmath.org/?q=an:0946.03015}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 98
\issue 4
\pages 490--499
\crossref{https://doi.org/10.1007/BF02362269}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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