Solution of the Robbins Problem

作者: William Mccune

DOI: 10.1023/A:1005843212881

关键词:

摘要: In this article we show that the three equations known as commutativity, associativity, and Robbins equation are a basis for variety of Boolean algebras. The problem was posed by Herbert in 1930s. proof found automatically EQP, theorem-proving program equational logic. We present search strategies enabled to find proof.

参考文章(15)
Ewing Lusk, Larry Wos, Jim Boyle, Ross Overbeek, Automated reasoning (2nd ed.): introduction and applications McGraw-Hill, Inc.. ,(1992)
William McCune, 33 basic test problems: a practical evaluation of some paramodulation strategies Automated reasoning and its applications. pp. 71- 114 ,(1997)
Leo Bachmair, Harald Ganzinger, Christopher Lynch, Wayne Snyder, Basic Paramodulation and Superposition conference on automated deduction. pp. 462- 476 ,(1992) , 10.1007/3-540-55602-8_185
W.W. McCune, OTTER 3.0 Reference Manual and Guide Argonne National Laboratory. ,(1994) , 10.2172/10129052
Jean-Marie Hullot, Canonical forms and unification 5th Conference on Automated Deduction Les Arcs, France, July 8–11, 1980. pp. 318- 334 ,(1980) , 10.1007/3-540-10009-1_25
Deepak Kapur, David R Musser, Paliath Narendran, None, Only prime superpositions need be considered in the Knuth-Bendix completion procedure Journal of Symbolic Computation. ,vol. 6, pp. 19- 36 ,(1988) , 10.1016/S0747-7171(88)80019-1
D. E. Knuth, P. B. Bendix, Simple Word Problems in Universal Algebras Computational Problems in Abstract Algebra#R##N#Proceedings of a Conference Held at Oxford Under the Auspices of the Science Research Council Atlas Computer Laboratory, 29th August to 2nd September 1967. pp. 342- 376 ,(1983) , 10.1007/978-3-642-81955-1_23
George F. McNulty, UNDECIDABLE PROPERTIES OF FINITE SETS OF EQUATIONS Journal of Symbolic Logic. ,vol. 41, pp. 589- 604 ,(1976) , 10.1017/S0022481200051161
S. Winker, Robbins algebra: conditions that make a near-boolean algebra boolean Journal of Automated Reasoning. ,vol. 6, pp. 465- 489 ,(1990) , 10.1007/BF00244359