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Abstract: Introduction Many researchers who study the theoretical aspects of inference systems believe that if inference rule A is complete and more restrictive than inference rule B, then the use of A will lead more quickly to proofs than will the use of B. The literature contains many statements of the sort "our rule is complete and it heavily prunes the search space; therefore it is efficient". This is nonsense. Such researchers have little or no experience with the practical use of automated... (Update)
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...to prove that any of these conditions follow from the axioms. Then, in 1996, with the development of a new theorem prover called EQP [McCune, 1997b] the problem was cracked. The 133 step solution, which relied on a technique known as associativecommutative unification [Stickel,...
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BibTeX entry: (Update)
W. McCune. 33 basic test problems: A practical evaluation of some paramodulation strategies. Preprint ANL/MCS-P618-1096, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, 1996. http://citeseer.ist.psu.edu/article/mccune96basic.html More
@misc{ mccune96basic,
author = "W. McCune",
title = "basic test problems: A practical evaluation of some paramodulation strategies",
text = "W. McCune. 33 basic test problems: A practical evaluation of some paramodulation
strategies. Preprint ANL/MCS-P618-1096, Mathematics and Computer Science
Division, Argonne National Laboratory, Argonne, IL, 1996.",
year = "1996",
url = "citeseer.ist.psu.edu/article/mccune96basic.html" }
Citations (may not include all citations):272 Argonne National Laboratory (context) - McCune, Reference et al. - 1994
74 Basic paramodulation and superposition (context) - Bachmair, Ganzinger et al. - 1992
67 Paramodulation and theorem-proving in first-order theories w.. (context) - Robinson, Wos - 1969
64 Basic superposition is complete (context) - Niewenhuis, Rubio - 1992
62 A unification algorithm for associative-commutative function.. (context) - Stickel - 1981
52 On word problems in equational theories (context) - Hsiang, Rusinowitch - 1987
44 Experiments with discrimination tree indexing and path index.. - McCune - 1992
34 A technique for establishing completeness results in theorem.. (context) - Peterson - 1983
30 Robbins algebra: Conditions that make a near-Boolean algebra.. (context) - Winker - 1990
27 Experiments in automated deduction with condensed detachment (context) - McCune, Wos - 1992
26 An algorithm to generate the basis of solutions to homogeneo.. (context) - Huet - 1978
25 Automated Deduction in Equational Logic and Cubic Curves - McCune, Padmanabhan - 1996
23 The concept of demodulation in theorem proving (context) - Wos, Robinson et al. - 1967
22 Only prime superpositions need be considered in the Knuth-Be.. (context) - Kapur, Musser et al. - 1988
22 RRL: Rewrite rule laboratory user's manual (context) - Kapur, Zhang - 1989
18 The Automation of Reasoning: An Experimenter's Notebook with.. (context) - Wos - 1996
9 Distributed theorem proving by Peers (context) - Bonacina, McCune - 1994
5 A case study of the completion procedure: Proving ring commu.. (context) - Kapur, Zhang - 1991
5 Automating the search for elegant proofs - Wos - 1996
3 University of Texas at Austin (context) - Lankford, Tech et al. - 1975
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