Combining formal derivation search procedures and natural theorem proving techniques in an automated theorem proving system

Cybernetics and Systems Analysis

Volumn 32, Issue 3, 1996, Pages 442-465

  Atayan, V V ^a   Morokhovets, M K ^a  

^a NONE

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[No Author keywords available]

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EID: 33747025162     PISSN: 10600396     EISSN: 15738337     Source Type: Journal    
DOI: 10.1007/BF02366511     Document Type: Article

References (22)

1. L. Wos, R. Overbeek, E. Lusk, et al., Automated Reasoning: Introduction and Applications, Prentice-Hall, Englewood Cliffs, NJ (1984).
2. N. Murray, "Completely non-clausal theorem proving," Artif. Intell., 18, 67-85 (1982).
3. P. Andrews, "Theorem proving via general matings," J. ACM, 28, 193-214 (1981).
4. W. Bibel, "On matrices with connections," J. ACM, 28, 633-645 (1981).
5. W. Bledsoe and P. Bruell, "A man-machine theorem proving system," Artif. Intell., 5, 51-72 (1974).
6. R. Boyer and J. Moore, A Computational Logic, Academic Press, New York (1979).
7. A. J. Degtyarev and A. V. Lyaletskii, "Logical reasoning in an automated theorem proving system," in: Mathematical Principles of Artificial Intelligence Systems [in Russian], IK AN UkrSSR, Kiev (1981), pp. 3-11.
8. J. Robinson, "Machine-oriented logic based on the resolution principle," Kibern. Sb. [Russian translation], No. 7, 194-218, Mir, Moscow (1970).
9. C.-L. Chang and R. Lee, Symbolic Logic and Mechanical Theorem Proving, Academic Press, New York (1973).
10. M. E. Stickel, "Automated deduction by theory resolution," IJCAI, 1181-1186 (1985).
11. K. P. Vershinin and M. K. Morokhovets, "Application of definitions in mechanical theorem proving," in: Software for Logical Derivation and Deductive Construction Systems [in Russian], Inst. Kibern. Im. V. M. Glushkova AN UkrSSR, Kiev (1983). pp. 32-41.
12. V. V. Atayan and K. P. Vershinin, "Formalization of some derivation search techniques." in: Automated Processing of Mathematical Texts [in Russian], IK AN UkrSSR, Kiev (1980), pp. 36-52.
13. S. Greenbaum and D. A. Plaisted, "The Illinois prover: a general purpose resolution theorem prover," Lect. Notes Comput. Sci., 230, 685-686 (1986).
14. S. A. Cooke, "Complexity of theorem deduction procedures," Kibern. Sb. [Russian translation]. No. 12, 5-15, Mir, Moscow (1975).
15. M. R. Garey and D. S. Johnson, Computers and Intractability, Freeman, San Francisco (1979).
16. V. M. Glushkov, K. P. Vershinin, Yu. V. Kapitonova. et al., "A formal language for mathematical texts," in: Automated Theorem Proving in Mathematics [in Russian], IK AN UkrSSR, Kiev (1974), pp. 3-36.
17. K. P. Vershinin and A. P. Zhezherun, "Data representation in a system for processing of mathematical texts," in: Issues of Development and Application of Mathematical Methods and Computers [in Russian], IK AN UkrSSR, Kiev (1974), pp. 3-36.
18. V. V. Atayan, "A software system for utilizing auxiliary information in theorem proving," in: Analysis and Processing of Mathematical Texts [in Russian], Kiev (1984), pp. 52-60.
19. M. Davies, Applied Nonstandard Analysis [Russian translation], Mir, Moscow (1980).
20. M. K. Morokhovets, "Implementation of resolution procedures in an automated theorem proving system," in: Deductive Constructions in Artificial Intelligence Systems and Modeling of Autonomous Robots [in Russian], IK AN UkrSSR, Kiev (1987), pp. 25-31.
21. V. V. Atayan and M. K. Morokhovets, "Tools for completion of the information environment for resolution theorem proving," in: Automated Deductive Constructions, Pattern Recognition, and Intelligent Robots [in Russian], IK AN UkrSSR, Kiev (1988), pp. 33-43.
22. V. V. Atayan, K. P. Vershinin, and A. P. Zhezherun, "Structured processing of mathematical texts," in: Pattern Recognition [in Russian], IK AN UkrSSR, Kiev (1978), pp. 43-55.