메뉴 건너뛰기




Volumn 178, Issue 2, 2002, Pages 346-390

Deciding the word problem in the union of equational theories

Author keywords

Combination of decision procedures; Equational reasoning; Word problem

Indexed keywords

PROBLEM SOLVING; SET THEORY; SYSTEM THEORY; THEOREM PROVING;

EID: 0036852192     PISSN: 08905401     EISSN: None     Source Type: Journal    
DOI: 10.1006/inco.2001.3118     Document Type: Article
Times cited : (25)

References (29)
  • 1
    • 0003650163 scopus 로고    scopus 로고
    • Term rewriting and all that
    • Cambridge Univ. Press, Cambridge, UK.
    • Baader, F., and Nipkow, T. (1998), "Term Rewriting and All That," Cambridge Univ. Press, Cambridge, UK.
    • (1998)
    • Baader, F.1    Nipkow, T.2
  • 2
    • 0001425670 scopus 로고    scopus 로고
    • Combination of constraint solvers for free and quasi-free structures
    • Baader, F., and Schulz, K. U. (1998), Combination of constraint solvers for free and quasi-free structures, Theoret. Comput. Sci. 192, 107-161.
    • (1998) Theoret. Comput. Sci. , vol.192 , pp. 107-161
    • Baader, F.1    Schulz, K.U.2
  • 3
    • 84957064523 scopus 로고    scopus 로고
    • A new approach for combining decision procedures for the word problem, and its connection to the Nelson-Oppen combination method
    • "Proceedings of the 14th International Conference on Automated Deduction, Townsville, Australia" (W. McCune, Ed.); Springer-Verlag, Berlin.
    • Baader, F., and Tinelli, C. (1997), A new approach for combining decision procedures for the word problem, and its connection to the Nelson-Oppen combination method, in "Proceedings of the 14th International Conference on Automated Deduction, Townsville, Australia" (W. McCune, Ed.) Lecture Notes in Artificial Intelligence, Vol. 1249, pp. 19-33, Springer-Verlag, Berlin.
    • (1997) Lecture Notes in Artificial Intelligence , vol.1249 , pp. 19-33
    • Baader, F.1    Tinelli, C.2
  • 4
    • 4243428628 scopus 로고    scopus 로고
    • Deciding the word problem in the union of equational theories
    • Technical Report UIUCDCS-R-98-2073, Department of Computer Science, University of Illinois at Urbana-Champaign.
    • Baader, F., and Tinelli, C. (1998), "Deciding the Word Problem in the Union of Equational Theories," Technical Report UIUCDCS-R-98-2073, Department of Computer Science, University of Illinois at Urbana-Champaign.
    • (1998)
    • Baader, F.1    Tinelli, C.2
  • 5
    • 4243304129 scopus 로고    scopus 로고
    • Combining equational theories sharing non-collapse-free constructors
    • Technical Report 99-13, Department of Computer Science, University of Iowa.
    • Baader, F., and Tinelli, C. (1999), "Combining Equational Theories Sharing Non-Collapse-Free Constructors," Technical Report 99-13, Department of Computer Science, University of Iowa.
    • (1999)
    • Baader, F.1    Tinelli, C.2
  • 6
    • 84957659589 scopus 로고    scopus 로고
    • Deciding the word problem in the union of equational theories sharing constructors
    • in "Proceedings of the 10th International Conference on Rewriting Techniques and Applications. Trento, Italy" (P. Narendran and M. Rusinowitch, Eds.); Springer-Verlag, Berlin.
    • Baader, F., and Tinelli, C. (1999), Deciding the word problem in the union of equational theories sharing constructors, in "Proceedings of the 10th International Conference on Rewriting Techniques and Applications. Trento, Italy" (P. Narendran and M. Rusinowitch, Eds.) Lecture Notes in Computer Science, Vol. 1631, pp. 175-189, Springer-Verlag, Berlin.
    • (1999) Lecture Notes in Computer Science , vol.1631 , pp. 175-189
    • Baader, F.1    Tinelli, C.2
  • 7
    • 84949194294 scopus 로고    scopus 로고
    • Combining equational theories sharing non-collapse-free constructors
    • in "Proceedings of the 3rd International Workshop on Frontiers of Combining Systems, FroCoS'2000, Nancy, France" (H. Kirchner and Ch. Ringeissen, Eds.); Springer-Verlag, Berlin.
    • Baader, F., and Tinelli, C. (2000), Combining equational theories sharing non-collapse-free constructors, in "Proceedings of the 3rd International Workshop on Frontiers of Combining Systems, FroCoS'2000, Nancy, France" (H. Kirchner and Ch. Ringeissen, Eds.) Lecture Notes in Artificial Intelligence, Vol. 1794, pp. 260-274, Springer-Verlag, Berlin.
    • (2000) Lecture Notes in Artificial Intelligence , vol.1794 , pp. 260-274
    • Baader, F.1    Tinelli, C.2
  • 8
    • 0018504528 scopus 로고
    • Proving termination with multiset orderings
    • Dershowitz, N., and Manna, Z. (1979), Proving termination with multiset orderings, Commun. Assoc. Comput. Mach. 22, 465-476.
    • (1979) Commun. Assoc. Comput. Mach. , vol.22 , pp. 465-476
    • Dershowitz, N.1    Manna, Z.2
  • 9
    • 84949187520 scopus 로고
    • Combination techniques for non-disjoint equational theories
    • in "Proceedings of the 12th International Conference on Automated Deduction, Nancy, France" (A. Bundy, Ed.); Springer-Verlag, Berlin.
    • Domenjoud, E., Klay, F., and Ringeissen, C. (1994), Combination techniques for non-disjoint equational theories, in "Proceedings of the 12th International Conference on Automated Deduction, Nancy, France" (A. Bundy, Ed.), Lecture Notes in Artificial Intelligence, Vol. 814, pp. 267-281, Springer-Verlag, Berlin.
    • (1994) Lecture Notes in Artificial Intelligence , vol.814 , pp. 267-281
    • Domenjoud, E.1    Klay, F.2    Ringeissen, C.3
  • 10
    • 0003685195 scopus 로고    scopus 로고
    • Path rewriting and combined word problems
    • Technical Report 250-00, Department of Computer Science, Università degli Studi di Milano, Milan, Italy.; to appear.
    • Fiorentini, C., and Ghilardi, S. (2001), "Path Rewriting and Combined Word Problems," Technical Report 250-00, Department of Computer Science, Università degli Studi di Milano, Milan, Italy. Revised version Theoret. Comput. Sci., to appear.
    • (2000) Theoret. Comput. Sci.
    • Fiorentini, C.1    Ghilardi, S.2
  • 12
    • 0001686885 scopus 로고
    • Completion of a set of rules modulo a set of equations
    • Jouannaud, J.-P., and Kirchner, H. (1986), Completion of a set of rules modulo a set of equations, SIAM J. Comput. 15, 1155-1194.
    • (1986) SIAM J. Comput. , vol.15 , pp. 1155-1194
    • Jouannaud, J.-P.1    Kirchner, H.2
  • 13
    • 0000763657 scopus 로고
    • Combining symbolic constraint solvers on algebraic domains
    • Kirchner, H., and Ringeissen, C. (1994), Combining symbolic constraint solvers on algebraic domains, J. Symbolic Comput. 18, 113-155.
    • (1994) J. Symbolic Comput. , vol.18 , pp. 113-155
    • Kirchner, H.1    Ringeissen, C.2
  • 14
    • 0002896422 scopus 로고
    • Simple word problems in universal algebra
    • (J. Leech, Ed.); Pergamon, Elmsford, NY.
    • Knuth, D. E., and Bendix, P. B. (1970), Simple word problems in universal algebra, in "Computational Problems in Abstract Algebra" (J. Leech, Ed.), pp. 263-297, Pergamon, Elmsford, NY.
    • (1970) Computational Problems in Abstract Algebra , pp. 263-297
    • Knuth, D.E.1    Bendix, P.B.2
  • 16
    • 0000409554 scopus 로고
    • Simple examples of undecidable associative calculi
    • Matijasevic, J. V. (1967), Simple examples of undecidable associative calculi, Soviet Math. (Dokl.) 8, 555-557.
    • (1967) Soviet Math. (Dokl.) , vol.8 , pp. 555-557
    • Matijasevic, J.V.1
  • 18
    • 0019003680 scopus 로고
    • Fast decision procedures based on congruence closure
    • Nelson, G., and Oppen, D. C. (1980), Fast decision procedures based on congruence closure, J. Assoc. Comput. Mach. 27, 356-364.
    • (1980) J. Assoc. Comput. Mach. , vol.27 , pp. 356-364
    • Nelson, G.1    Oppen, D.C.2
  • 19
    • 85032488739 scopus 로고
    • Combining matching algorithms: The regular case
    • in "Proceedings of the 3rd International Conference on Rewriting Techniques and Applications, Chapel Hill, NC" (N. Dershowitz, Ed.); Springer-Verlag, Berlin.
    • Nipkow, T. (1989), Combining matching algorithms: The regular case, in "Proceedings of the 3rd International Conference on Rewriting Techniques and Applications, Chapel Hill, NC" (N. Dershowitz, Ed.), Lecture Notes in Computer Science, Vol. 335, pp. 343-358, Springer-Verlag, Berlin.
    • (1989) Lecture Notes in Computer Science , vol.335 , pp. 343-358
    • Nipkow, T.1
  • 20
    • 0002771977 scopus 로고
    • Modular properties of composable term rewriting systems
    • Ohlebusch, E. (1995), Modular properties of composable term rewriting systems, J. Symbolic Comput. 20, 1-41.
    • (1995) J. Symbolic Comput. , vol.20 , pp. 1-41
    • Ohlebusch, E.1
  • 21
    • 0003003107 scopus 로고
    • The join of equational theories
    • Pigozzi, D. (1974), The join of equational theories, Colloq. Math. 30, 15-25.
    • (1974) Colloq. Math. , vol.30 , pp. 15-25
    • Pigozzi, D.1
  • 22
    • 84918983692 scopus 로고
    • A machine-oriented logic based on the resolution principle
    • Robinson, J. A. (1965), A machine-oriented logic based on the resolution principle, J. Assoc. Comput. Mach. 12, 23-41.
    • (1965) J. Assoc. Comput. Mach. , vol.12 , pp. 23-41
    • Robinson, J.A.1
  • 23
    • 84937708748 scopus 로고
    • Unification in a combination of arbitrary disjoint equational theories
    • Special issue on unification.
    • Schmidt-Schauß, M. (1989), Unification in a combination of arbitrary disjoint equational theories, J. Symbolic Comput. 8, 51-100 Special issue on unification. Part II.
    • (1989) J. Symbolic Comput. , vol.8 , Issue.PART 2 , pp. 51-100
    • Schmidt-Schauß, M.1
  • 24
    • 0000730036 scopus 로고
    • First-order unification in combinations of equational theories
    • Ph.D. dissertation, The Royal Institute of Technology, Stockholm.
    • Tidén, E. (1986), "First-Order Unification in Combinations of Equational Theories," Ph.D. dissertation, The Royal Institute of Technology, Stockholm.
    • (1986)
    • Tidén, E.1
  • 26
    • 0004203678 scopus 로고    scopus 로고
    • Non-disjoint unions of theories and combinations of satisfiability procedures: First results
    • Technical Report UIUCDCS-R-98-2044, Department of Computer Science, University of Illinois at Urbana-Champaign. Also available as INRIA Research Report RR-3402.
    • Tinelli, C., and Ringeissen, C. (1998) "Non-Disjoint Unions of Theories and Combinations of Satisfiability Procedures: First Results," Technical Report UIUCDCS-R-98-2044, Department of Computer Science, University of Illinois at Urbana-Champaign. Also available as INRIA Research Report RR-3402.
    • (1998)
    • Tinelli, C.1    Ringeissen, C.2
  • 27
    • 85031354057 scopus 로고    scopus 로고
    • Unions of non-disjoint theories and combinations of satisfiability procedures
    • to appear.
    • Tinelli, C., and Ringeissen, C. (2002), Unions of non-disjoint theories and combinations of satisfiability procedures, Theoret. Comput. Sci., to appear.
    • (2002) Theoret. Comput. Sci.
    • Tinelli, C.1    Ringeissen, C.2
  • 28
    • 0023345304 scopus 로고
    • Counterexamples to termination for the direct sum of term rewriting systems
    • Toyama, Y. (1987), Counterexamples to termination for the direct sum of term rewriting systems, Inform. Process. Lett. 25, 141-143.
    • (1987) Inform. Process. Lett. , vol.25 , pp. 141-143
    • Toyama, Y.1
  • 29
    • 0023252439 scopus 로고
    • On the Church-Rosser property for the direct sum of term rewriting systems
    • Toyama, Y. (1987), On the Church-Rosser property for the direct sum of term rewriting systems, J. Assoc. Comput. Mach. 34, 128-143.
    • (1987) J. Assoc. Comput. Mach. , vol.34 , pp. 128-143
    • Toyama, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.