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Monadic Simultaneous Rigid  (Make Corrections)  
E-Unification Related Problems Yuri Gurevich and Andrei Voronkov EECS...



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Abstract: We study the monadic case of a decision problem knowas simultaneous rigid E-unification. We show its equivalence to an extension of word equations. We prove decidability and complexity results for special cases of this problem. (Update)

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BibTeX entry:   (Update)

@misc{ problems-monadic,
  author = "Unification Related Problems",
  title = "Monadic Simultaneous Rigid",
  url = "citeseer.ist.psu.edu/755013.html" }
Citations (may not include all citations):
788   Rewrite systems - Dershowitz, Jouannaud - 1990
105   The problem of solvability of equations in free semigroups (context) - Makanin - 1981
80   Finite automata (context) - Perrin - 1990
66   Complexity of finitely presented algebras (context) - Kozen - 1977
56   Lower bounds for natural proof systems (context) - Kozen - 1977
41   An algorithm for reasoning about equality (context) - Shostak - 1978
25   The undecidability of simultaneous rigid E- unification - Degtyarev, Voronkov - 1996
19   Special cases and substitutes for rigid E-unification - Plaisted - 1995
14   Makanin's algorithm: Two improvements and a generalization (context) - Schulz - 1990
12   unifica- tion and related algorithmic problems (context) - Degtyarev, Matiyasevich et al. - 1996
10   Uniform representation of recursively enumerable sets with s.. - Veanes - 1996
9   Herbrand's theorem and equational reasoning: Problems and so.. - Degtyarev, Gurevich et al. - 1996
6   Monadic simultaneous rigid E-unification and related problem.. - Gurevich, Voronkov - 1997
3   Complexity of unification in free groups and free semigroups (context) - Ko'scielski, Pacholski - 1990
1   Journal of the Association for Computing Machinery (context) - Ko'scielski, Pacholski - 1996
1   unification with one variable (context) - Degtyarev, Gurevich et al. - 1997

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