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Handbook of Automated Reasoning by Andrei Voronkov, Alan J.A. Robinson

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3.3.3 The category-theoretic point of view

Let Γ : = { s i = E ? t i | i = 1 , , n } si265_e be an E-unification problem over F si266_e , and X : = V a r ( Γ ) si267_e be the finite set of variables occurring in Γ. Since all our calculations are done modulo E, we may consider the terms s i and t i as elements of T ( F , X ) / = E , the .E-free algebra with generators X . For example, let F consist of a binary ...

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