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REFERENCES
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Bibel, W. A comparative study of several proof procedures. Artif. Intell. 18, (1982), 269-293.
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Bibel, W. The complete theoretical basis for the systematic proof method. Bericht ATP-6-XII-80, Institut ffir lnformatik, TUM (1980). Submitted to J. ACM.
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BibeL W. Computationally improved versions of Herbrand's theorem. In Stern, ed. Proc. of the Herbrand Colloquium, North Holland, Amsterdam, 1982), 11-28.
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Bibel, W. Automated theorem proving. Vieweg: Braunschweig, 1982.
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Bibel, W. Syntax-directed, semantics-supported program synthesis. Artif. Intell. 14, (1980), 243-261.
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Bledsoe, W.W. Non-resolution theorem proving. Artif. Intell 9, (1977), 1-35.
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Gentzen, G. Untersuchunge fiber dos logische Schlieben I, Mathemat. Zeitschrift 39, (1935), 176-210.
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Herbrand, J. Recherches sur la Theorie de la Demonstration, Traveaux de la Societ6 des Sciences et des Lettres de Varsovie, Classe III sciences mathematiques et physiques, 33 (1930).
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Joyner, W., (ed.) 4th Workshop on Automated Deduction (Austin, Texas, 1979).
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Kalish, D., and Montague, R. Logic. New York: Harcourt Brace Jovanovich, 1964.
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Loveland, D.W. Automated theorem proving. Amsterdam: North Holland, 1978.
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Robinson, J.A. Logic: form and function, Edinburgh University Press (1979).
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Siekmann, J. (ed.) GWAI-81, Informatik Fachberichte 47. Berlin: Springer, 1981.
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INDEX TERMS
Primary Classification:
F.
Theory of Computation
F.4
MATHEMATICAL LOGIC AND FORMAL LANGUAGES
F.4.1
Mathematical Logic
Subjects:
Logic and constraint programming
Additional Classification:
I.
Computing Methodologies
I.2
ARTIFICIAL INTELLIGENCE
I.2.3
Deduction and Theorem Proving
Subjects:
Resolution;
Logic programming;
Deduction (e.g., natural, rule-based)
I.2.4
Knowledge Representation Formalisms and Methods
Subjects:
Predicate logic
General Terms:
Algorithms,
Theory
Keywords:
complementary matrices,
connection method,
logic,
matings,
natural deduction,
refinements of resolution,
resolution,
spanning sets of connections,
splitting,
structure sharing,
systematic proof procedure,
theorem proving,
unification
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