Solution of the Robbins Problem

Authors:
William McCune
Affiliations:
Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, Il 60439. e-mail: mccune@mcs.anl.gov
Venue:
Journal of Automated Reasoning
Year:
1997

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Abstract

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