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Decidability of Bounded Second Order Unification  (Make Corrections)  
Manfred Schmidt-Schauß



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Abstract: It is well-known that first order unification is decidable, whereas second order (and higher-order) unification is undecidable. (Update)

Active bibliography (related documents):   More   All
1.3:   A Decision Algorithm for Stratified Context Unification - Schmidt-Schauß (2001)   (Correct)
0.8:   An Optimized Decision Algorithm for Stratified Context.. - Schmidt-Schauß (2000)   (Correct)
0.6:   Describing Lambda Terms in Context Unification - Niehren, Villaret   (Correct)

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BibTeX entry:   (Update)

@misc{ schmidt-schau-decidability,
  author = "Manfred Schmidt-Schauß",
  title = "Decidability of Bounded Second Order Unification",
  url = "citeseer.ist.psu.edu/621708.html" }
Citations (may not include all citations):
174   A unification algorithm for typed -calculus (context) - Huet - 1975
134   Unification theory - Baader, Siekmann - 1994  ACM   DBLP
105   The problem of solvability of equations in a free semigroup (context) - Makanin - 1977
97   The undecidability of the second-order unification problem (context) - Goldfarb - 1981  DBLP
56   Higher-order unification revisited: Complete sets of transfo.. (context) - Snyder, Gallier - 1989  ACM   DBLP
24   Satisfiability of word equations with constants is in PSPACE (context) - Plandowski - 1999  ACM   DBLP
24   Satisfiability of word equations with constants is in NEXPTI.. (context) - Plandowski - 1999  ACM   DBLP
19   Simple second-order languages for which unification is undec.. (context) - Farmer - 1991  ACM   DBLP
19   the exponent of periodicity of minimal solutions of context .. (context) - Schmidt-Schau, Schulz - 1998
17   A unification algorithm for second order monadic terms (context) - Farmer - 1988
12   Solvability of context equations with two context variables .. - Schmidt-Schau, Schulz - 1999  ACM   DBLP
11   Linear second order unification (context) - Levy - 1996
9   Decidable and undecidable second order unification problems - Levy - 1998
6   On unification problems in restricted second order languages - Levy, Veanes - 1998
6   Unification of stratified second-order terms (context) - Schmidt-Schau - 1994
6   Satisfiability of word equations with constants is in expone.. (context) - Gutierrez - 1998  ACM   DBLP
3   A decision algorithm for distributive unification (context) - Schmidt-Schau - 1998  ACM   DBLP
3   Number 21 in Cambridge tracts in theoretical computer scienc.. (context) - Wolfram, theories - 1993
1   Solvability of context equations with two variables is decid.. (context) - Schmidt-Schau, Schulz - 1998

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