메뉴 건너뛰기




Volumn 25, Issue 1, 2000, Pages 35-82

Positive unit hyperresolution tableaux and their application to minimal model generation

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; THEOREM PROVING;

EID: 0033686162     PISSN: 01687433     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006291616338     Document Type: Article
Times cited : (61)

References (79)
  • 1
    • 84957704564 scopus 로고    scopus 로고
    • Model generation with existentially quantified variables and constraints
    • LNCS 1298, Springer-Verlag
    • Abdennadher, S. and Schütz, H.: Model generation with existentially quantified variables and constraints, in Proc. Sixth Int. Conf. on Algebraic and Logic Programming, LNCS 1298, Springer-Verlag, 1997, pp. 256-272.
    • (1997) Proc. Sixth Int. Conf. on Algebraic and Logic Programming , pp. 256-272
    • Abdennadher, S.1    Schütz, H.2
  • 5
    • 84947935265 scopus 로고
    • An improved method for adding equality to free variable semantic tableaux
    • LNCS 607, Springer-Verlag
    • Beckert, B. and Hähnle, R.: An improved method for adding equality to free variable semantic tableaux, in Proc. Eleventh Int. Conf. on Automated Deduction, LNCS 607, Springer-Verlag, 1992, pp. 507-521.
    • (1992) Proc. Eleventh Int. Conf. on Automated Deduction , pp. 507-521
    • Beckert, B.1    Hähnle, R.2
  • 6
    • 0013203993 scopus 로고
    • Intensional updates: Abduction via deduction
    • MIT Press
    • Bry, F.: Intensional updates: Abduction via deduction, in Proc. Seventh Int. Conf. on Logic Programming, MIT Press, 1990, pp. 561-575.
    • (1990) Proc. Seventh Int. Conf. on Logic Programming , pp. 561-575
    • Bry, F.1
  • 10
    • 84957399140 scopus 로고
    • Proving finite satisfiability of deductive databases
    • LNCS 329, Springer-Verlag
    • Bry, F. and Manthey, R.: Proving finite satisfiability of deductive databases, in Proc. First Workshop on Computer Science Logic, LNCS 329, Springer-Verlag, 1987, pp. 44-55.
    • (1987) Proc. First Workshop on Computer Science Logic , pp. 44-55
    • Bry, F.1    Manthey, R.2
  • 11
    • 84949976019 scopus 로고    scopus 로고
    • A deduction method complete for refutation and finite satisfiability
    • Springer LNCS 1489
    • Bry, F. and Torge, S.: A deduction method complete for refutation and finite satisfiability, in Proc. Sixth European Workshop on Logics in AI, Springer LNCS 1489, 1998.
    • (1998) Proc. Sixth European Workshop on Logics in AI
    • Bry, F.1    Torge, S.2
  • 13
    • 77958399423 scopus 로고
    • Building models by using tableaux extended by equational problems
    • Caferra, R. and Zabel, N.: Building models by using tableaux extended by equational problems, J. Logic Comput. 3 (1993), 3-25.
    • (1993) J. Logic Comput. , vol.3 , pp. 3-25
    • Caferra, R.1    Zabel, N.2
  • 14
    • 0030260263 scopus 로고    scopus 로고
    • Computation of stable models and its integration with logical query processing
    • Chen, W. and Warren, D. S.: Computation of stable models and its integration with logical query processing, IEEE Trans. Knowledge and Data Eng. 8(5) (1996), 742-757.
    • (1996) IEEE Trans. Knowledge and Data Eng. , vol.8 , Issue.5 , pp. 742-757
    • Chen, W.1    Warren, D.S.2
  • 15
    • 84881072062 scopus 로고
    • A computing procedure for quantification theory
    • Davis, M. and Putnam, H.: A computing procedure for quantification theory, J. ACM 7(3) (1960), 201-215.
    • (1960) J. ACM , vol.7 , Issue.3 , pp. 201-215
    • Davis, M.1    Putnam, H.2
  • 17
    • 0028762252 scopus 로고
    • On the duality of abduction and model generation in a framework for model generation with equality
    • Denecker, M. and Schreye, D.: On the duality of abduction and model generation in a framework for model generation with equality, Theoret. Comput. Sci. 122 (1994), 225-262.
    • (1994) Theoret. Comput. Sci. , vol.122 , pp. 225-262
    • Denecker, M.1    Schreye, D.2
  • 21
    • 0343328281 scopus 로고
    • Master's Thesis, University of Maryland, Cited in [48]
    • Emery, R.: Computing circumscriptive databases, Master's Thesis, University of Maryland, 1992. Cited in [48].
    • (1992) Computing Circumscriptive Databases
    • Emery, R.1
  • 23
    • 4243812723 scopus 로고    scopus 로고
    • Hyperresolution and automated model building
    • Fermüller, C. and Leitsch, A.: Hyperresolution and automated model building, J. Logic Comput. 6(2) (1996), 173-203.
    • (1996) J. Logic Comput. , vol.6 , Issue.2 , pp. 173-203
    • Fermüller, C.1    Leitsch, A.2
  • 24
    • 0026263504 scopus 로고
    • Bottom-up evaluation of hierarchical disjunctive deductive databases
    • MIT Press
    • Fernández, J. A. and Minker, J.: Bottom-up evaluation of hierarchical disjunctive deductive databases, in Proc. Eighth Int. Conf. on Logic Programming, MIT Press, 1991, pp. 660-675.
    • (1991) Proc. Eighth Int. Conf. on Logic Programming , pp. 660-675
    • Fernández, J.A.1    Minker, J.2
  • 26
    • 0026271995 scopus 로고
    • A model generation theorem prover in KL1 using aramified stack algorithm
    • MIT Press
    • Fujita, H. and Hasegawa, R.: A model generation theorem prover in KL1 using aramified stack algorithm, in Proc. Eighth Int. Conf. on Logic Programming, MIT Press, 1991.
    • (1991) Proc. Eighth Int. Conf. on Logic Programming
    • Fujita, H.1    Hasegawa, R.2
  • 27
    • 0342458961 scopus 로고    scopus 로고
    • Tableaux and connection calculi. Part I
    • Kluwer Acad. Publ., Dordrecht
    • Furbach, U. (ed.): Tableaux and connection calculi. Part I, in Automated Deduction - A Basis for Applications, Kluwer Acad. Publ., Dordrecht, 1998.
    • (1998) Automated Deduction - A Basis for Applications
    • Furbach, U.1
  • 29
    • 0031109239 scopus 로고    scopus 로고
    • Satchmo: The compiling and functional variants
    • Geisler, T., Panne, S. and Schütz, H.: Satchmo: The compiling and functional variants, J. Automated Reasoning 18(2) (1997), 227-236.
    • (1997) J. Automated Reasoning , vol.18 , Issue.2 , pp. 227-236
    • Geisler, T.1    Panne, S.2    Schütz, H.3
  • 30
    • 84955605886 scopus 로고
    • Research Report, Computer Science Department, University of Karlsruhe, Cited in [3]
    • Hähnle, R.: Positive tableaux, Research Report, Computer Science Department, University of Karlsruhe, 1995. Cited in [3].
    • (1995) Positive Tableaux
    • Hähnle, R.1
  • 32
    • 33749549527 scopus 로고    scopus 로고
    • Magic sets to incorporate top-down inference into bottom-up theorem proving
    • LNCS 1249, Springer-Verlag
    • Hasegawa, R., Inoue, K., Ohta, Y. and Koshimura, M.: Magic sets to incorporate top-down inference into bottom-up theorem proving, in Proc. Fourteenth Int. Conf. on Automated Deduction, LNCS 1249, Springer-Verlag, 1997, pp. 176-190.
    • (1997) Proc. Fourteenth Int. Conf. on Automated Deduction , pp. 176-190
    • Hasegawa, R.1    Inoue, K.2    Ohta, Y.3    Koshimura, M.4
  • 34
    • 0343764222 scopus 로고
    • Model minimization - An alternative to circumscription
    • Hintikka, J.: Model minimization - an alternative to circumscription, J. Automated Reasoning 4 (1988), 1-13.
    • (1988) J. Automated Reasoning , vol.4 , pp. 1-13
    • Hintikka, J.1
  • 39
    • 0028715389 scopus 로고
    • Controlled integration of the cut rule into connection tableau calculi
    • Letz, R., Mayr, K. and Goller, C.: Controlled integration of the cut rule into connection tableau calculi, J. Automated Reasoning 13(3) (1994), 297-338.
    • (1994) J. Automated Reasoning , vol.13 , Issue.3 , pp. 297-338
    • Letz, R.1    Mayr, K.2    Goller, C.3
  • 42
    • 0343764219 scopus 로고
    • A tableau prover for domain minimization
    • Lorenz, S.: A tableau prover for domain minimization, J. Automated Reasoning 13 (1994), 375-390.
    • (1994) J. Automated Reasoning , vol.13 , pp. 375-390
    • Lorenz, S.1
  • 44
    • 77957563232 scopus 로고
    • A hyperresolution-based proof procedure and its implementation in Prolog
    • IFB 152, Springer-Verlag
    • Manthey, R. and Bry, F.: A hyperresolution-based proof procedure and its implementation in Prolog, in Proc. Eleventh German Workshop on Artificial Intelligence, IFB 152, Springer-Verlag, 1987, pp. 456-459.
    • (1987) Proc. Eleventh German Workshop on Artificial Intelligence , pp. 456-459
    • Manthey, R.1    Bry, F.2
  • 45
    • 85032870902 scopus 로고
    • SATCHMO: A theorem prover implemented in Prolog
    • LNCS 310, Springer-Verlag
    • Manthey, R. and Bry, F.: SATCHMO: A theorem prover implemented in Prolog, in Proc. Ninth Int. Conf. on Automated Deduction, LNCS 310, Springer-Verlag, 1988, pp. 415-434.
    • (1988) Proc. Ninth Int. Conf. on Automated Deduction , pp. 415-434
    • Manthey, R.1    Bry, F.2
  • 47
    • 0001928085 scopus 로고
    • Computing circumscriptive databases: I. Theory and algorithms
    • Cited in [48]
    • Nerode, A., Ng, R. T. and Subrahmanian, V S.: Computing circumscriptive databases: I. Theory and algorithms, Inform. Comput. 116 (1995), 58-80. Cited in [48].
    • (1995) Inform. Comput. , vol.116 , pp. 58-80
    • Nerode, A.1    Ng, R.T.2    Subrahmanian, V.S.3
  • 50
    • 0343328274 scopus 로고
    • Tableaux and sequent calculus for minimal entailment
    • Olivetti, N.: Tableaux and sequent calculus for minimal entailment, J. Automated Reasoning 9 (1992), 99-139.
    • (1992) J. Automated Reasoning , vol.9 , pp. 99-139
    • Olivetti, N.1
  • 51
    • 0032098006 scopus 로고    scopus 로고
    • Automated deduction techniques for classification in description logic systems
    • Paramasivam, M. and Plaisted, D.: Automated deduction techniques for classification in description logic systems, J. Automated Reasoning 20(3) (1998).
    • (1998) J. Automated Reasoning , vol.20 , Issue.3
    • Paramasivam, M.1    Plaisted, D.2
  • 52
    • 0005362335 scopus 로고    scopus 로고
    • Simplifying and generalizing formulae in tableaux. Pruning the search space and building models
    • Springer LNCS 1227
    • Peltier, N.: Simplifying and generalizing formulae in tableaux. Pruning the search space and building models, in Proc. Sixth Workshop on Theorem Proving with Tableaux and Related Methods, Springer LNCS 1227, 1997, pp. 313-327.
    • (1997) Proc. Sixth Workshop on Theorem Proving with Tableaux and Related Methods , pp. 313-327
    • Peltier, N.1
  • 53
    • 84990556284 scopus 로고
    • Explanation and prediction: An architecture for default and abductive reasoning
    • Poole, D.: Explanation and prediction: An architecture for default and abductive reasoning, Comput. Intell. 5(2) (1989), 97-110.
    • (1989) Comput. Intell. , vol.5 , Issue.2 , pp. 97-110
    • Poole, D.1
  • 55
    • 84995193163 scopus 로고
    • A new improved proof procedure
    • Prawitz, D.: A new improved proof procedure, Theoria 26 (1960), 102-139.
    • (1960) Theoria , vol.26 , pp. 102-139
    • Prawitz, D.1
  • 57
    • 0039340862 scopus 로고
    • Ph.D. Thesis, Institute for Advanced Studies and Department of Computer Science, University of Maryland
    • Rajasekar, A. K.: Semantics for disjunctive logic programs, Ph.D. Thesis, Institute for Advanced Studies and Department of Computer Science, University of Maryland, 1989.
    • (1989) Semantics for Disjunctive Logic Programs
    • Rajasekar, A.K.1
  • 59
    • 0025460906 scopus 로고
    • A fixpoint semantics for disjunctive logic programs
    • Rajasekar, A. K. and Minker, J.: A fixpoint semantics for disjunctive logic programs, J. Logic Programming 9(1) (1990), 45-74.
    • (1990) J. Logic Programming , vol.9 , Issue.1 , pp. 45-74
    • Rajasekar, A.K.1    Minker, J.2
  • 61
    • 0023329093 scopus 로고
    • A theory of diagnosis from first principles
    • Reiter, R.: A theory of diagnosis from first principles, Artif. Intell. 32 (1987), 57-95.
    • (1987) Artif. Intell. , vol.32 , pp. 57-95
    • Reiter, R.1
  • 62
    • 0001685428 scopus 로고
    • Automatic deduction with hyper-resolution
    • Robinson, J. A.: Automatic deduction with hyper-resolution, Internat. J. Comput. Math. 1 (1965), 227-234.
    • (1965) Internat. J. Comput. Math. , vol.1 , pp. 227-234
    • Robinson, J.A.1
  • 65
    • 0004086483 scopus 로고
    • Tech. Rep., Australian National University Automated Reasoning Project, Canberra
    • Slaney, J.: Finder (finite domain enumerator): Notes and guides, Tech. Rep., Australian National University Automated Reasoning Project, Canberra, 1992.
    • (1992) Finder (Finite Domain Enumerator): Notes and Guides
    • Slaney, J.1
  • 67
    • 0027634070 scopus 로고
    • Automated theorem proving research in the fifth generation computer systems project: Model generation theorem provers
    • Stickel, M. E.: Automated theorem proving research in the fifth generation computer systems project: model generation theorem provers, Future Generation Computer Systems 9(2) (1993), 143-152.
    • (1993) Future Generation Computer Systems , vol.9 , Issue.2 , pp. 143-152
    • Stickel, M.E.1
  • 68
    • 0343328271 scopus 로고
    • First-order syntactic characterizations of minimal entailment, domain-minimal entailment, and herbrand entailment
    • Suchenek, M. A.: First-order syntactic characterizations of minimal entailment, domain-minimal entailment, and herbrand entailment, J. Automated Reasoning 10 (1993), 237-263.
    • (1993) J. Automated Reasoning , vol.10 , pp. 237-263
    • Suchenek, M.A.1
  • 69
    • 0005242254 scopus 로고    scopus 로고
    • Efficient model generation through compilation
    • to appear. Short version in Proc. Thirteenth Conf. on Automated Deduction, LNCS 1104, Springer-Verlag
    • Schütz, H. and Geisler, T.: Efficient model generation through compilation, J. Inform, and Comput., to appear. Short version in Proc. Thirteenth Conf. on Automated Deduction, LNCS 1104, Springer-Verlag, 1996, pp. 433-447.
    • (1996) J. Inform, and Comput. , pp. 433-447
    • Schütz, H.1    Geisler, T.2
  • 70
    • 0002172168 scopus 로고
    • Using resolution for deciding solvable classes and building finite models
    • LNCS 502, Springer-Verlag
    • Tammet, T.: Using resolution for deciding solvable classes and building finite models, in Proc. Baltic Computer Science Conf., LNCS 502, Springer-Verlag, 1991, pp. 33-64.
    • (1991) Proc. Baltic Computer Science Conf. , pp. 33-64
    • Tammet, T.1
  • 73
    • 0342893191 scopus 로고
    • Special issue on automated reasoning with analytic tableaux, Part I
    • Wrightson, G. (ed.): Special issue on automated reasoning with analytic tableaux, Part I, J. Automated Reasoning 13(2) (1994), 173-281.
    • (1994) J. Automated Reasoning , vol.13 , Issue.2 , pp. 173-281
    • Wrightson, G.1
  • 74
    • 0343764214 scopus 로고
    • Special issue on automated reasoning with analytic tableaux, Part II
    • Wrightson, G. (ed.): Special issue on automated reasoning with analytic tableaux, Part II, J. Automated Reasoning 13(3) (1994), 283-421.
    • (1994) J. Automated Reasoning , vol.13 , Issue.3 , pp. 283-421
    • Wrightson, G.1
  • 75
    • 0342458951 scopus 로고    scopus 로고
    • Tech. Rep. PMS-FB-1996-10, Institute for Computer Science, University of Munich
    • Yahya, A.: Model generation in disjunctive normal databases, Tech. Rep. PMS-FB-1996-10, Institute for Computer Science, University of Munich, 1996. http://www.informatik.unimuenchen.de/pms/publikationen/berichte/PMS-FB-1996-10. ps.gz.
    • (1996) Model Generation in Disjunctive Normal Databases
    • Yahya, A.1
  • 76
    • 0039694405 scopus 로고    scopus 로고
    • Tech. Rep. PMS-FB-1996-12, Institute for Computer Science, University of Munich
    • Yahya, A.: A goal-driven approach to efficient query processing in disjunctive databases, Tech. Rep. PMS-FB-1996-12, Institute for Computer Science, University of Munich, 1996. http://www.informatik.uni-muenchen.de/pms/publikationen/berichte/PMS-FB-1996-12. ps.gz.
    • (1996) A Goal-driven Approach to Efficient Query Processing in Disjunctive Databases
    • Yahya, A.1
  • 77
    • 0343489263 scopus 로고    scopus 로고
    • Generalized query answering in disjunctive deductive databases: Procedural and nonmonotonic aspects
    • LNCS 1265, Springer-Verlag
    • Yahya, A.: Generalized query answering in disjunctive deductive databases: Procedural and nonmonotonic aspects, in Proc. Fourth Int. Conf. on Logic Programming and Nonmonotonic Reasoning, LNCS 1265, Springer-Verlag, 1997.
    • (1997) Proc. Fourth Int. Conf. on Logic Programming and Nonmonotonic Reasoning
    • Yahya, A.1
  • 78
    • 0028493393 scopus 로고
    • Ordered model trees: A normal form for disjunctive deductive databases
    • Yahya, A., Fernandez, J. A. and Minker, J.: Ordered model trees: A normal form for disjunctive deductive databases, J. Automated Reasoning 13(1) (1994), 117-144.
    • (1994) J. Automated Reasoning , vol.13 , Issue.1 , pp. 117-144
    • Yahya, A.1    Fernandez, J.A.2    Minker, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.