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After the presentation of the rule-based unification algorithm, a practically linear time unification algorithm is presented in detail. Then the chapter describes resolution as a refutational proof procedure for first-order logic. After the presentation of three simplification orders over terms and literals, the completeness of ordered resolution is shown. Some examples are given, using McCune’s Prover9.

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Unification and Resolution

  • 章节

  • 发表日期：

    2025年

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  • Hantao Zhang,
  • Jian Zhang

摘要

After the presentation of the rule-based unification algorithm, a practically linear time unification algorithm is presented in detail. Then the chapter describes resolution as a refutational proof procedure for first-order logic. After the presentation of three simplification orders over terms and literals, the completeness of ordered resolution is shown. Some examples are given, using McCune’s Prover9.