Abstract
This note contains a set of six theorems that can be used to assess the ability of a theorem-proving system to reason about equality. The six theorems are graduated in terms of difficulty: they range from fairly trivial to quite difficult. They do not cover all aspects of equality reasoning, but they have proved useful to us in developing our system.
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This work was supported in part by National Science Foundation grant MCS82-07496 and in part by the Applied Mathematical Sciences Research Program (KC-04-02) of the Office of Energy Research of the U.S. Department of Energy under Contract W-31-109-Eng-38.
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Lusk, E.L., Overbeek, R.A. Reasoning about equality. J Autom Reasoning 1, 209–228 (1985). https://doi.org/10.1007/BF00244996
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DOI: https://doi.org/10.1007/BF00244996