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Solution of the Robbins Problem

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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.

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Mccune, W. Solution of the Robbins Problem. Journal of Automated Reasoning 19, 263–276 (1997). https://doi.org/10.1023/A:1005843212881

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  • DOI: https://doi.org/10.1023/A:1005843212881

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