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Equation Satisfiability and Program Satisfiablity for Finite Monoids


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


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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    Computational complexity; groups; semigroups; monoids;

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