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Volumn 3632 LNAI, Issue , 2005, Pages 131-148

The decidability of the first-order theory of Knuth-Bendix order

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTABILITY AND DECIDABILITY; CONSTRAINT THEORY;

EID: 26944435539     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11532231_10     Document Type: Conference Paper
Times cited : (4)

References (31)
  • 2
    • 0013212265 scopus 로고
    • A complete axiomatization of a theory with feature and arity constraints
    • Rolf Backofen. A complete axiomatization of a theory with feature and arity constraints. Journal of Logical Programming, 24(1&2):37-71, 1995.
    • (1995) Journal of Logical Programming , vol.24 , Issue.1-2 , pp. 37-71
    • Backofen, R.1
  • 4
    • 0000109492 scopus 로고
    • Equational formulae with membership constraints
    • Hubert Comon and Catherine Delor. Equational formulae with membership constraints. Information and Computation, 112(2):167-216, 1994.
    • (1994) Information and Computation , vol.112 , Issue.2 , pp. 167-216
    • Comon, H.1    Delor, C.2
  • 6
    • 85010952507 scopus 로고
    • Ordering constraints on trees
    • Proceedings of the 19th International Colloquium on Trees in Algebra and Programming (CAAP'94), Edinburgh, U.K., Apr Springer-Verlag
    • Hubert Comon and Ralf Treinen. Ordering constraints on trees. In Proceedings of the 19th International Colloquium on Trees in Algebra and Programming (CAAP'94), volume 787 of Lecture Notes in Computer Science, pages 1-14, Edinburgh, U.K., Apr 1994. Springer-Verlag.
    • (1994) Lecture Notes in Computer Science , vol.787 , pp. 1-14
    • Comon, H.1    Treinen, R.2
  • 7
    • 0031119630 scopus 로고    scopus 로고
    • The first-order theory of lexicographic path orderings is undecidable
    • Hubert Comon and Ralf Treinen. The first-order theory of lexicographic path orderings is undecidable. Theoretical Computer Science, 176(1-2):67-87, 1997.
    • (1997) Theoretical Computer Science , vol.176 , Issue.1-2 , pp. 67-87
    • Comon, H.1    Treinen, R.2
  • 8
    • 0003083237 scopus 로고
    • Theorem proving in arithmetic without multiplication
    • American Elsevier
    • D. C. Cooper. Theorem proving in arithmetic without multiplication. In Machine Intelligence, volume 7, pages 91-99. American Elsevier, 1972.
    • (1972) Machine Intelligence , vol.7 , pp. 91-99
    • Cooper, D.C.1
  • 9
    • 0001138255 scopus 로고
    • Orderings for term-rewriting systems
    • Nachum Dershowitz. Orderings for term-rewriting systems. Theoretical Computer Science, 7:279-301, 1982.
    • (1982) Theoretical Computer Science , vol.7 , pp. 279-301
    • Dershowitz, N.1
  • 11
    • 0004240663 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • Wilfrid Hodges. Model Theory. Cambridge University Press, Cambridge, UK, 1993.
    • (1993) Model Theory
    • Hodges, W.1
  • 12
    • 85030841054 scopus 로고
    • Satisfiability of systems of ordinal notation with the subterm property is decidable
    • Proceedings of the 18th International Colloquium on Automata, Languages and Programming (ICALP'91), Springer-Verlag
    • Jean-Pierre Jouannaud and Mitsuhiro Okada. Satisfiability of systems of ordinal notation with the subterm property is decidable. In Proceedings of the 18th International Colloquium on Automata, Languages and Programming (ICALP'91), volume 510 of Lecture Notes in Computer Science, pages 455-468. Springer-Verlag, 1991.
    • (1991) Lecture Notes in Computer Science , vol.510 , pp. 455-468
    • Jouannaud, J.-P.1    Okada, M.2
  • 14
    • 0041052430 scopus 로고
    • Jurgen Siekmann and G. Wrightson, editors, Springer-Verlag
    • Reprinted in Automation of Reasoning, Vol. 2 Jurgen Siekmann and G. Wrightson, editors, pp. 342-376, Springer-Verlag, 1983.
    • (1983) Automation of Reasoning , vol.2 , pp. 342-376
  • 15
    • 0033681416 scopus 로고    scopus 로고
    • A decision procedure for the existential theory of term algebras with the Knuth-Bendix ordering
    • IEEE Computer Society Press
    • Konstantin Korovin and Andrei Voronkov. A decision procedure for the existential theory of term algebras with the Knuth-Bendix ordering. In Proceedings of the 15th IEEE Symposium on Logic in Computer Science (LICS'00), pages 291-302, IEEE Computer Society Press, 2000.
    • (2000) Proceedings of the 15th IEEE Symposium on Logic in Computer Science (LICS'00) , pp. 291-302
    • Korovin, K.1    Voronkov, A.2
  • 16
    • 23044527685 scopus 로고    scopus 로고
    • Knuth-Bendix constraint solving is NP-complete
    • Proceedings of 28th International Colloquium on Automata, Languages and Programming (ICALP'01), Springer-Verlag
    • Konstantin Korovin and Andrei Voronkov. Knuth-Bendix constraint solving is NP-complete. In Proceedings of 28th International Colloquium on Automata, Languages and Programming (ICALP'01), volume 2076 of Lecture Notes in Computer Science, pages 979-992. Springer-Verlag, 2001.
    • (2001) Lecture Notes in Computer Science , vol.2076 , pp. 979-992
    • Korovin, K.1    Voronkov, A.2
  • 17
    • 84877761471 scopus 로고    scopus 로고
    • The decidability of the first-order theory of the Knuth-Bendix order in the case of unary signatures
    • Proceedings of the 22th Conference on Foundations of Software Technology and Theoretical Computer Science, (FSTTCS'02), Springer-Verlag
    • Konstantin Korovin and Andrei Voronkov. The decidability of the first-order theory of the Knuth-Bendix order in the case of unary signatures. In Proceedings of the 22th Conference on Foundations of Software Technology and Theoretical Computer Science, (FSTTCS'02), volume 2556 of Lecture Notes in Computer Science, pages 230-240. Springer-Verlag, 2002.
    • (2002) Lecture Notes in Computer Science , vol.2556 , pp. 230-240
    • Korovin, K.1    Voronkov, A.2
  • 18
    • 0041524811 scopus 로고    scopus 로고
    • On the theory of structural subtyping
    • Massachusetts Institute of Technology, January
    • Viktor Kuncak and Martin Rinard. On the theory of structural subtyping. Technical Report MIT-LCS-TR-879, Massachusetts Institute of Technology, January 2003.
    • (2003) Technical Report , vol.MIT-LCS-TR-879
    • Kuncak, V.1    Rinard, M.2
  • 20
    • 0024126962 scopus 로고
    • Complete axiomatizations of the algebras of finite, rational and infinite tree
    • IEEE Computer Society Press
    • M. J. Maher. Complete axiomatizations of the algebras of finite, rational and infinite tree. In Proceedings of the 3th IEEE Symposium on Logic in Computer Science (LICS'88), pages 348-357. IEEE Computer Society Press, 1988.
    • (1988) Proceedings of the 3th IEEE Symposium on Logic in Computer Science (LICS'88) , pp. 348-357
    • Maher, M.J.1
  • 21
    • 85013555311 scopus 로고
    • Axiomatizable classes of locally free algebras of various types
    • chapter 23, North Holland
    • A. I. Mal'cev. Axiomatizable classes of locally free algebras of various types. In The Metamathematics of Algebraic Systems, Collected Papers, chapter 23, pages 262-281. North Holland, 1971.
    • (1971) The Metamathematics of Algebraic Systems, Collected Papers , pp. 262-281
    • Mal'Cev, A.I.1
  • 22
    • 84867803120 scopus 로고    scopus 로고
    • The theory of total unary RPO is decidable
    • Proceedings of the 1st International Conference on Computational Logic < CL 2000, Springer-Verlag
    • Paliath Narendran and Michael Rusinowitch. The theory of total unary RPO is decidable. In Proceedings of the 1st International Conference on Computational Logic < CL 2000), volume 1861 of Lecture Notes in Artificial Intelligence, pages 660-672. Springer-Verlag, 2000.
    • (2000) Lecture Notes in Artificial Intelligence , vol.1861 , pp. 660-672
    • Narendran, P.1    Rusinowitch, M.2
  • 23
    • 84956990889 scopus 로고    scopus 로고
    • RPO constraint solving is in NP
    • Proceedings of the 12th International Workshop on Computer Science Logic (CSL'98), Springer-Verlag
    • Paliath Narendran, Michael Rusinowitch, and Rakesh M. Verma. RPO constraint solving is in NP. In Proceedings of the 12th International Workshop on Computer Science Logic (CSL'98), volume 1584 of Lecture Notes in Computer Science, pages 385-398. Springer-Verlag, 1999.
    • (1999) Lecture Notes in Computer Science , vol.1584 , pp. 385-398
    • Narendran, P.1    Rusinowitch, M.2    Verma, R.M.3
  • 24
    • 0027643817 scopus 로고
    • Simple LPO constraint solving methods
    • Robert Nieuwenhuis. Simple LPO constraint solving methods. Information Processing Letters, 47(2):65-69, 1993.
    • (1993) Information Processing Letters , vol.47 , Issue.2 , pp. 65-69
    • Nieuwenhuis, R.1
  • 25
    • 84957711893 scopus 로고    scopus 로고
    • Solved forms for pnth ordering constraints
    • Proceedings of 10th International Conference on Rewriting Techniques and Applications (RTA'99), Springer-Verlag
    • Robert Nieuwenhuis and J. Rivero. Solved forms for pnth ordering constraints. In Proceedings of 10th International Conference on Rewriting Techniques and Applications (RTA'99), volume 1631 of Lecture Notes in Computer Science, pages 1-15. Springer-Verlag, 1999.
    • (1999) Lecture Notes in Computer Science , vol.1631 , pp. 1-15
    • Nieuwenhuis, R.1    Rivero, J.2
  • 26
    • 0000330818 scopus 로고
    • Theorem proving with ordering and equality constrained clauses
    • Robert Nieuwenhuis and Albert Rubio. Theorem proving with ordering and equality constrained clauses. Journal of Symbolic Computation, 19(4):321-351, 1995.
    • (1995) Journal of Symbolic Computation , vol.19 , Issue.4 , pp. 321-351
    • Nieuwenhuis, R.1    Rubio, A.2
  • 28
    • 85015274734 scopus 로고    scopus 로고
    • A decision procedure for term algebras with queues
    • Tatiana Rybina and Andrei Voronkov. A decision procedure for term algebras with queues. ACM Transactions on Computational Logic, 2(2):155-181, 2001.
    • (2001) ACM Transactions on Computational Logic , vol.2 , Issue.2 , pp. 155-181
    • Rybina, T.1    Voronkov, A.2
  • 29
    • 38249010885 scopus 로고
    • A new method for undecidability proofs of first order theories
    • Ralf Treinen. A new method for undecidability proofs of first order theories. Journal of Symbolic Computation, 14:437-457, 1992.
    • (1992) Journal of Symbolic Computation , vol.14 , pp. 437-457
    • Treinen, R.1
  • 30
    • 9444289382 scopus 로고    scopus 로고
    • Decision procedures for recursive data structures with integer constraints
    • Proceedings of the 2nd International Joint Conference on Automated Reasoning (IJCAR'04), Springer-Verlag
    • Ting Zhang, Henny Sipma, and Zohar Manna. Decision procedures for recursive data structures with integer constraints. In Proceedings of the 2nd International Joint Conference on Automated Reasoning (IJCAR'04), volume 3097 of Lecture Notes in Computer Science, pages 152-167. Springer-Verlag, 2004.
    • (2004) Lecture Notes in Computer Science , vol.3097 , pp. 152-167
    • Zhang, T.1    Sipma, H.2    Manna, Z.3
  • 31
    • 35048859716 scopus 로고    scopus 로고
    • Term algebras with length function and bounded quantifier alternation
    • Proceedings of the 17th International Conference on Theorem Proving in Higher Order Logics (TPHOLs'04), Springer-Verlag
    • Ting Zhang, Henny Sipma, and Zohar Manna. Term algebras with length function and bounded quantifier alternation. In Proceedings of the 17th International Conference on Theorem Proving in Higher Order Logics (TPHOLs'04), volume 3223 of Lecture Notes in Computer Science, pages 321-336. Springer-Verlag, 2004.
    • (2004) Lecture Notes in Computer Science , vol.3223 , pp. 321-336
    • Zhang, T.1    Sipma, H.2    Manna, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.