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Equation Satisfiability and Program Satisfiablity for Finite Monoids

Author

Listed:
  • David Bix Barrington
  • Pierre McKenzie
  • Cristopher Moore
  • Pascal Tesson
  • Denis ThŽrien

Abstract

We study the computational complexity of solving equations and of determining the satisfiability of programs over a fixed finite monoid. We partially answer an open problem of [4] by exhibiting quasi-polynomial time algorithms for a sub-class of solvable non-nilpotent groups and relate this question to a natural circuit complexity conjecture.

Suggested Citation

  • David Bix Barrington & Pierre McKenzie & Cristopher Moore & Pascal Tesson & Denis ThŽrien, 2000. "Equation Satisfiability and Program Satisfiablity for Finite Monoids," Working Papers 00-04-026, Santa Fe Institute.
  • Handle: RePEc:wop:safiwp:00-04-026
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    References listed on IDEAS

    as
    1. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    2. Hehenkamp, Burkhard, 2002. "Sluggish Consumers: An Evolutionary Solution to the Bertrand Paradox," Games and Economic Behavior, Elsevier, vol. 40(1), pages 44-76, July.
    3. Per Bak & Simon F. Norrelykke & Martin Shubik, 1998. "The Dynamics of Money," Research in Economics 98-11-102e, Santa Fe Institute.
    4. Stanley, Michael H. R. & Buldyrev, Sergey V. & Havlin, Shlomo & Mantegna, Rosario N. & Salinger, Michael A. & Eugene Stanley, H., 1995. "Zipf plots and the size distribution of firms," Economics Letters, Elsevier, vol. 49(4), pages 453-457, October.
    5. Burkhard Hehenkamp & Wolfgang Leininger, 1999. "A note on evolutionary stability of Bertrand equilibrium," Journal of Evolutionary Economics, Springer, vol. 9(3), pages 367-371.
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    Keywords

    Computational complexity; groups; semigroups; monoids;

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