메뉴 건너뛰기




Volumn 16, Issue 1-2, 1996, Pages 3-37

Induction using term orders

Author keywords

Automated theorem proving; Mutual induction

Indexed keywords

ARTIFICIAL INTELLIGENCE; AUTOMATION; COMPUTATIONAL METHODS; INFERENCE ENGINES;

EID: 0030100851     PISSN: 01687433     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00244458     Document Type: Article
Times cited : (8)

References (38)
  • 1
    • 0024126961 scopus 로고
    • Proof by consistency in equational theories
    • Bachmair, L.: Proof by consistency in equational theories, in Proc. 3rd LICS Symp., 1988, pp. 228-233.
    • (1988) Proc. 3rd LICS Symp. , pp. 228-233
    • Bachmair, L.1
  • 2
    • 0002566002 scopus 로고
    • Completion without failure
    • H. Aït-Kaci and M. Nivat (eds), Rewriting Techniques, Chapter 1, Academic Press, New York
    • Bachmair, L., Dershowitz, N., and Plaisted, D. A.: Completion without failure, in H. Aït-Kaci and M. Nivat (eds), Resolutions of Equations in Algebraic Structures, Vol. 2: Rewriting Techniques, Chapter 1, Academic Press, New York, 1989, pp. 1-30.
    • (1989) Resolutions of Equations in Algebraic Structures , vol.2 , pp. 1-30
    • Bachmair, L.1    Dershowitz, N.2    Plaisted, D.A.3
  • 3
    • 85029603406 scopus 로고
    • The Karlsruhe induction theorem proving system
    • LNCS 230, Springer-Verlag
    • Biundo, S., Hummel, B., Hutter, D., and Walther, C.: The Karlsruhe induction theorem proving system, in 8th CADE Conf., LNCS 230, Springer-Verlag, 1986.
    • (1986) 8th CADE Conf.
    • Biundo, S.1    Hummel, B.2    Hutter, D.3    Walther, C.4
  • 4
    • 0002663288 scopus 로고
    • Automatic case analysis in proof by induction
    • R. Bajcsy (ed.), Morgan Kaufmann, August
    • Bouhoula, A. and Rusinowitch, M.: Automatic case analysis in proof by induction, in R. Bajcsy (ed.), Proc. 13th IJCAI Conf., Vol. 1, Morgan Kaufmann, August 1993, pp. 88-94.
    • (1993) Proc. 13th IJCAI Conf. , vol.1 , pp. 88-94
    • Bouhoula, A.1    Rusinowitch, M.2
  • 6
    • 5844296956 scopus 로고
    • A theorem prover for a computational logic
    • M. E. Stickel (ed.), LNCS 449, Springer-Verlag
    • Boyer, R. S. and Moore, J. S.: A theorem prover for a computational logic, in M. E. Stickel (ed.), Proc. 10th CADE Conf., LNCS 449, Springer-Verlag, 1990, pp. 1-15.
    • (1990) Proc. 10th CADE Conf. , pp. 1-15
    • Boyer, R.S.1    Moore, J.S.2
  • 8
    • 85032879794 scopus 로고
    • Conditional rewriting in Focus
    • S. Kaplan and M. Okada (eds), LNCS 516, Springer-Verlag
    • Bronsard, F. and Reddy, U. S.: Conditional rewriting in Focus, in S. Kaplan and M. Okada (eds), Proc. 2nd CTRS Workshop, LNCS 516, Springer-Verlag, 1991, pp. 2-13.
    • (1991) Proc. 2nd CTRS Workshop , pp. 2-13
    • Bronsard, F.1    Reddy, U.S.2
  • 9
    • 25444446046 scopus 로고
    • Reduction techniques for first-order reasoning
    • M. Rusinowitch and J. L. Rémy (eds), LNCS 656, Springer-Verlag
    • Bronsard, F. and Reddy, U. S.: Reduction techniques for first-order reasoning, in M. Rusinowitch and J. L. Rémy (eds), Proc. 3rd CTRS Workshop, LNCS 656, Springer-Verlag, 1992, pp. 242-256.
    • (1992) Proc. 3rd CTRS Workshop , pp. 242-256
    • Bronsard, F.1    Reddy, U.S.2
  • 10
    • 84998976635 scopus 로고
    • Induction using term orderings
    • Alan Bundy (ed.), LNAI 814, Springer-Verlag
    • Bronsard, F., Reddy, U. S., and Hasker, R. W.: Induction using term orderings, in Alan Bundy (ed.), Proc. 12th CADE Conf., LNAI 814, Springer-Verlag, 1994, pp. 102-117.
    • (1994) Proc. 12th CADE Conf. , pp. 102-117
    • Bronsard, F.1    Reddy, U.S.2    Hasker, R.W.3
  • 11
    • 0041648863 scopus 로고
    • A rational reconstruction and extension of recursion analysis
    • Bundy, A.: A rational reconstruction and extension of recursion analysis, in IJCAI, 1989.
    • (1989) IJCAI
    • Bundy, A.1
  • 12
    • 0042025844 scopus 로고
    • Completion and its applications
    • Rewriting Techniques, Academic Press, San Diego
    • Dershowitz, N.: Completion and its applications, in Resolution of Equations in Algebraic Structures, Vol. 2: Rewriting Techniques, Academic Press, San Diego, 1989, pp. 31-86.
    • (1989) Resolution of Equations in Algebraic Structures , vol.2 , pp. 31-86
    • Dershowitz, N.1
  • 13
    • 33749986992 scopus 로고
    • Natural termination
    • C. Kirchner (ed.), LNCS 690, Montreal (Canada), Springer-Verlag
    • Dershowitz, N. and Hoot, C.: Natural termination, in C. Kirchner (ed.), Proc. 5th RTA Conf., LNCS 690, Montreal (Canada), Springer-Verlag, 1993, pp. 405-420.
    • (1993) Proc. 5th RTA Conf. , pp. 405-420
    • Dershowitz, N.1    Hoot, C.2
  • 15
    • 84977878238 scopus 로고
    • A strong restriction of the inductive completion procedure
    • Fribourg, L.: A strong restriction of the inductive completion procedure, J. Symbolic Computation, 8(3) (1989), 253-276.
    • (1989) J. Symbolic Computation , vol.8 , Issue.3 , pp. 253-276
    • Fribourg, L.1
  • 16
    • 85035115041 scopus 로고
    • How to prove inductive hypotheses without induction
    • LNCS 87, Springer-Verlag
    • Goguen, J. A.: How to prove inductive hypotheses without induction, in 5th CADE Conf., LNCS 87, Springer-Verlag, 1980, pp. 356-372.
    • (1980) 5th CADE Conf. , pp. 356-372
    • Goguen, J.A.1
  • 17
    • 33749990036 scopus 로고
    • Induction theorem proving using refined unfailing completion techniques
    • also Technical Report SR-89-14, Universität Kaiserslautern, Germany
    • Gramlich, B.: Induction theorem proving using refined unfailing completion techniques, in ECAI, 1989 (also Technical Report SR-89-14, Universität Kaiserslautern, Germany).
    • (1989) ECAI
    • Gramlich, B.1
  • 18
    • 84957687401 scopus 로고
    • Proving inductive theorems based on term rewriting systems
    • J. Grabowski, P. Lescanne, and W. Wechler (eds), Akademie Verlag
    • Hofbauer, D. and Kutsche, R. D.: Proving inductive theorems based on term rewriting systems, in J. Grabowski, P. Lescanne, and W. Wechler (eds), Proc. 1st ALP Workshop, Akademie Verlag, 1988, pp. 180-190.
    • (1988) Proc. 1st ALP Workshop , pp. 180-190
    • Hofbauer, D.1    Kutsche, R.D.2
  • 20
    • 0000673198 scopus 로고
    • Proofs by induction in equational theories with constructors
    • Huet, G. and Hullot, J.-M.: Proofs by induction in equational theories with constructors, J. of Computer and System Sciences 25 (1982), 239-266.
    • (1982) J. of Computer and System Sciences , vol.25 , pp. 239-266
    • Huet, G.1    Hullot, J.-M.2
  • 21
    • 0024701540 scopus 로고
    • Automatic proofs by induction in equational theories without constructors
    • Original version in Symp. LICS, IEEE, 1986
    • Jouannaud, J.-P. and Kounalis, E.: Automatic proofs by induction in equational theories without constructors, Information and Computation 82 (1989), 1-33. Original version in Symp. LICS, IEEE, 1986.
    • (1989) Information and Computation , vol.82 , pp. 1-33
    • Jouannaud, J.-P.1    Kounalis, E.2
  • 22
    • 0023291769 scopus 로고
    • Proof by consistency
    • Feb.
    • Kapur, D. and Musser, D. R.: Proof by consistency, Artificial Intelligence 31(2) (Feb. 1987), 125-157.
    • (1987) Artificial Intelligence , vol.31 , Issue.2 , pp. 125-157
    • Kapur, D.1    Musser, D.R.2
  • 23
    • 0001895110 scopus 로고
    • Automating inductionless induction using test sets
    • Kapur, D., Narendran, P., and Zhang, H.: Automating inductionless induction using test sets, J. Symbolic Computation 11 (1991), 83-112.
    • (1991) J. Symbolic Computation , vol.11 , pp. 83-112
    • Kapur, D.1    Narendran, P.2    Zhang, H.3
  • 24
    • 0002896422 scopus 로고
    • Simple word problems in universal algebras
    • J. Leech (ed.), Pergamon, Oxford
    • Knuth, D. and Bendix, P.: Simple word problems in universal algebras, in J. Leech (ed.), Computational Problems in Abstract Algebra, Pergamon, Oxford, 1970, pp. 263-297.
    • (1970) Computational Problems in Abstract Algebra , pp. 263-297
    • Knuth, D.1    Bendix, P.2
  • 25
    • 85158061351 scopus 로고
    • Mechanizing inductive reasoning
    • AAAI Press and MIT Press, Boston
    • Kounalis, E. and Rusinowitch, M.: Mechanizing inductive reasoning, in Proc. AAAI Conf., AAAI Press and MIT Press, Boston, 1990, pp. 240-245.
    • (1990) Proc. AAAI Conf. , pp. 240-245
    • Kounalis, E.1    Rusinowitch, M.2
  • 27
    • 0000126781 scopus 로고
    • Inductive completion by ground proof transformation
    • H. Aît-Kaci and M. Nivat (eds), Rewriting Techniques, Academic Press, San Diego
    • Küchlin, W.: Inductive completion by ground proof transformation, in H. Aît-Kaci and M. Nivat (eds), Resolution of Equations in Algebraic Structures, Vol. 2: Rewriting Techniques, Academic Press, San Diego, 1989, pp. 211-245.
    • (1989) Resolution of Equations in Algebraic Structures , vol.2 , pp. 211-245
    • Küchlin, W.1
  • 30
    • 0019092936 scopus 로고
    • On proving inductive properties of abstract data types
    • ACM
    • Musser, D. R.: On proving inductive properties of abstract data types, in ACM Symp. on Princ. of Program. Lang., ACM, 1980, pp. 154-162.
    • (1980) ACM Symp. on Princ. of Program. Lang. , pp. 154-162
    • Musser, D.R.1
  • 31
    • 85031788351 scopus 로고
    • Term rewriting induction
    • M. Stickel (ed.), LNAI 449, Springer-Verlag
    • Reddy, U. S.: Term rewriting induction, in M. Stickel (ed.), 10th CADE Conf., LNAI 449, Springer-Verlag, 1990, pp. 162-177.
    • (1990) 10th CADE Conf. , pp. 162-177
    • Reddy, U.S.1
  • 33
    • 0014617743 scopus 로고
    • Paramodulation and first-order theorem proving
    • B. Meltzer and D. Mitchie (eds), Edinburgh University Press
    • Robinson, G. A. and Wos, L. T.: Paramodulation and first-order theorem proving, in B. Meltzer and D. Mitchie (eds), Machine Intelligence 4, Edinburgh University Press, 1969, pp. 135-150.
    • (1969) Machine Intelligence , vol.4 , pp. 135-150
    • Robinson, G.A.1    Wos, L.T.2
  • 34
    • 84918983692 scopus 로고
    • A machine-oriented logic based on the resolution principle
    • Robinson, J. A.: A machine-oriented logic based on the resolution principle, JACM 12 (1965), 12-23.
    • (1965) JACM , vol.12 , pp. 12-23
    • Robinson, J.A.1
  • 36
    • 0347586413 scopus 로고
    • Completeness of calculi for axiomatically defined classes of algebras
    • Selman, A.: Completeness of calculi for axiomatically defined classes of algebras, Algebra Universalis 2 (1972), 20-32.
    • (1972) Algebra Universalis , vol.2 , pp. 20-32
    • Selman, A.1
  • 37
    • 85026913360 scopus 로고
    • On notions of inductive validity for first-order equational clauses
    • LNCS 814, Springer-Verlag
    • Wirth, C.-P. and Gramlich, B.: On notions of inductive validity for first-order equational clauses, in 12th CADE Conf., LNCS 814, Springer-Verlag, 1994, pp. 162-176.
    • (1994) 12th CADE Conf. , pp. 162-176
    • Wirth, C.-P.1    Gramlich, B.2
  • 38
    • 84958640069 scopus 로고
    • A mechanizable induction principle for equational specifications
    • E. Lusk and R. Overbeek (eds), LNCS 310, Springer-Verlag
    • Zhang, H. and Kapur, D., and Krishnamoorthy, M. S.: A mechanizable induction principle for equational specifications, in E. Lusk and R. Overbeek (eds), 9th CADE Conf., LNCS 310, Springer-Verlag, 1988, pp. 162-181.
    • (1988) 9th CADE Conf. , pp. 162-181
    • Zhang, H.1    Kapur, D.2    Krishnamoorthy, M.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.