| A Human Oriented Logic for Automatic Theorem-Proving |
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Journal of the ACM (JACM)
archive
Volume 21 , Issue 4 (October 1974)
table of contents
Pages: 606 - 621
Year of Publication: 1974
ISSN:0004-5411
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Author
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Arthur J. Nevins
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Department of Information Systems, Georgia State University, Atlanta, GA and George Washington University, Washington, D.C
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Downloads (6 Weeks): 1, Downloads (12 Months): 67, Citation Count: 8
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ABSTRACT
A deductive system is described which combines aspects of resolution (e.g. unification and the use of Skolem functions) with that of natural deduction and whose performance compares favorably with the best predicate calculus theorem provers.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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ALLEN, JOHN, AND LUCKHAM, DAVID. An interactive theorem proving program. In Machine Intelligence 5. B. Meltzer and D. Michie, Eds., Edinburgh. U. Press, Edinburgh, 1970, pp. 321- 336.
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BLEgSOE, W.W. Splitting and reduction heuristics in automatic theorem proving. Artif. Intel. 2 (Spring 1971), 55-77.
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BLEDSOE, W. W., BOYER, ROBERT S., AND HENNEMAN, WILLIAM I~. Computer proofs of limit theorems. Artif. Intel. 3 (Spring 1972), 27-60.
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CHANG, C. L. Theorem proving with variable-constrained resolution. Inform. Sciences $, 3 (July 1972), 217-231.
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CHINTHAYAMMA. Sets of independent axioms for a ternary Boolean algebra. Notices Amer. Math. Soc. 16, 4 (June 1969), 69T-A69, 654.
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ERNST, GF~OaGF~ W. The utility of independent subgoals in theorem proving. Inform. and Contr. 18, 3 (April 1971), 237-252.
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KLEENE, STEPHEN C. Introduction to Metamathematics. Van Nostrand, Princeton, N.J., 1952.
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KOWALSKI, ROBERT, AND KUEHNER, DAVID. Linear resolution with selection function. Artif. Intel. 2 (Winter 1971), 227-260.
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MORRIS, jAMES B. E-resolution: Extension of resolution to include the equality relation. Proc. int. Joint Conf. Artificial Intelligence, Washington, D.C., 1989, pp. 287-294.
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NORTON, LEWIS M. Experiments with a heuristic theorem-proving program for predicate calculus with equality. Artif. Intel. 2 (Winter 1971), 261-284.
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ROBINSON, GEORGE, AND WOS, LAWRENCE. Paramodulation and theorem-proving in first order theories with equality. In Machine Intelligence 4, B. Meltzer and D. Michie, Eds., Edinburgh U. Press, Edinburgh, 1969, pp. 135-150.
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SLAGLE, JAMES R., AND KONIVER, DEENA A. Finding resolution graphs and using duplicate goals in AND/OR trees. Inform. Sciences 3, 4 (Oct. 1971), 315-342.
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CITED BY 8
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Charles Kellogg , Philip Klahr , Larry Travis, A deductive capability for data management, Proceedings of the second international conference on Systems for Large Data Bases, p.181-196, September 08-10, 1976, Brussels, Belgium, North Holland
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