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The classification of total reduction orderings for strings over a 2-letter alphabet w.r.t. monoid presentations with 2 generators was published by U. Martin, see [9], and used the hypothetical truth of Scott's conjecture, which was 3 years old in 1996. Now the results due to Ursula Martin and Elizabeth Scott are completed with the truth of Scott's conjecture. The final proof is simple, but...
This paper develops links between algebra and automated deduction. We show how we have developed heuristics in automated deduction and computer algebra systems by looking at Tietze transformations from group theory and Knuth-Bendix completion. A complex induction proof of a theorem about a wreath product of two groups is developed with the aid of the Larch Prover in order to show how algebraic problems...