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Konstantin Korovin and Andrei Voronkov. Knuth-Bendix constraint solving is NPcomplete. In Proceedings of 28th International Colloquium on Automata, Languages and Programming (ICALP), volume 2076 of Lecture Notes in Computer Science, pages 979--

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Using Inequalities as Term Ordering Constraints - Hurd (2003)   (2 citations)  (Correct)

....of a set of ordering constraints. Two term orderings commonly implemented in automated reasoning procedures are the lexicographic path ordering and the Knuth Bendix ordering [3] For both orderings, deciding the satisfiability of a set of ordering constraints is an NP complete problem [5, 4]. In this paper, we show how a Knuth Bendix ordering constraint may be approximated by a linear equality, in such a way that a set of ordering constraints is inconsistent whenever the corresponding system of linear inequalities is inconsistent. Therefore, we can safely block inferences that would ....

Konstantin Korovin and Andrei Voronkov. Knuth-Bendix constraint solving is NPcomplete. In F. Orejas, P. G. Spirakis, and J. van Leeuwen, editors, Automata, Languages and Programming, volume 2076.


Term Algebras with Length Function and Bounded Quantifier.. - Zhang, Sipma, Manna (2004)   (Correct)

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Konstantin Korovin and Andrei Voronkov. Knuth-Bendix constraint solving is NPcomplete. In Proceedings of 28th International Colloquium on Automata, Languages and Programming (ICALP), volume 2076 of Lecture Notes in Computer Science, pages 979--


Decision Procedures for Recursive Data Structures with.. - Zhang, Sipma, Manna (2004)   (1 citation)  (Correct)

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Konstantin Korovin and Andrei Voronkov. Knuth-Bendix constraint solving is NP-complete. In Proceedings of 28th International Colloquium on Automata, Languages and Programming (ICALP), volume 2076 of Lecture Notes in Computer Science, pages 979-992. Springer, 2001.


Term Algebras with Length Function and Bounded Quantifier.. - Zhang, Sipma, Manna   (Correct)

No context found.

Konstantin Korovin and Andrei Voronkov. Knuth-Bendix constraint solving is NPcomplete. In Proceedings of 28th International Colloquium on Automata, Languages and Programming (ICALP), volume 2076 of Lecture Notes in Computer Science, pages 979--


Decision Procedures for Recursive Data Structures with.. - Zhang, Sipma, Manna (2004)   (1 citation)  (Correct)

No context found.

Konstantin Korovin and Andrei Voronkov. Knuth-Bendix constraint solving is NP-complete. In Proceedings of 28th International Colloquium on Automata, Languages and Programming (ICALP), volume 2076 of Lecture Notes in Computer Science, pages 979-992. Springer, 2001.


The complete list of RTA open problems - Date April Summary   (Correct)

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Konstantin Korovin and Andrei Voronkov. Knuth-Bendix constraint solving is NP-complete. In Fernando Orejas, Paul G. Spirakis, and Jan van Leeuwen, editors, 28th International Colloquium on Automata, Languages and Programming, volume 2076 of Lecture Notes in Computer Science, pages 979-992, Crete, Greece, July 2001. Springer-Verlag.

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