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“Dynamic” inferencing with generalized resolution

Published: 01 March 1993 Publication History
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References

[1]
Cook, S.A. and R. A. Reek}tow: 'The Relative Efficiency of Propositional Proof Systems', Journal of,gymbolic Logic, Vol. 44, pp. 36-50 (1979).
[2]
Fitting, Melvin: First-Order Logic and Automated Theorem Prov/ng, Springer-Verlag, New York (1990).
[3]
Haken, Armin: 'The Intractability of Resolution", Theoretical Con~uter Science, Vol. 39, pp. 297-308 (X985).
[4]
Klccne, Stcph~: Introduction to Metamathematics, Van Nostrand, New York (1952).
[5]
Kowalski, Robert: Logic for Problem Solving, North- Holland, New York (1979).
[6]
Manna, Zohar and Richard Waldingcr: "A Deductive Approach to Program Systhcsis", A CM Transactions on Progrmnming Languages and,gystems, ~ol. 2, pp. 90-121 (1980).
[7]
Murray, N~il: "Completely Nonclausal Theorem Proving", Artifwial lntelhgence, Vol. 18, No. 1, pp. 67-85 (1982).
[8]
Robinson, John: "A Machine-Orient~ Logic Based on the Resolution Principle", Journal of the ACM, Vol. 12, pp. 23-41 (1965).
[9]
Su~, Patrick: Introduction to Log/c, Van Nostrand, New York (1957).
[10]
Mcndclson, Elliott: Introduction to Mathematical Logic, Van Nostrand, New York (1964).
[11]
Wang, Hao: "Proving Theorems by Pattern Rccognition", Communications of the ACM, ~ol. 3, No. 3, pp. 220-234.
[12]
Whitehead, Alfred and B4~rtrand Russell: Princ/pta Mathemat/ca, Cambridge University Press, Cambridge (}91o).

Recommendations

Reviews

Victor W. Marek

Some well-known techniques in automated theorem proving for propositional logic are reviewed. The authors compare Robinson's resolution method with Smullyan's semantic tableau method, Hao Wang's Gentzen-style technique, Murray's nonclausal resolution, and Hilbert's method. The authors notice that resolution and tableaux possess dual techniques. They discuss these as well. Unfortunately, the authors completely avoid the complexity issues associated with these methods. This is a major omission, because of the central place of provability (and its dual, satisfiability) in the complexity theory. The paper reads well, but does not go beyond an exercise in automated theorem proving.

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cover image ACM Conferences
SAC '93: Proceedings of the 1993 ACM/SIGAPP symposium on Applied computing: states of the art and practice
March 1993
804 pages
ISBN:0897915674
DOI:10.1145/162754
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Published: 01 March 1993

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  1. automated reasoning
  2. automated theorem proving
  3. inferencing

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SAC93
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SAC93: 1993 Symposium on Applied Computing
February 14 - 16, 1993
Indiana, Indianapolis, USA

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Overall Acceptance Rate 1,650 of 6,669 submissions, 25%

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