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Motivation

  • Basic results of mathematical logic show:
    • We can do logical reasoning with a limited set of simple (computable) rules in restricted formal languages like First-order Logic (FOL)

    • Computers can do reasoning

  • FOL is interesting for this purpose because:
    • It is expressive enough to capture many foundational theorems of mathematics
    • Many real-world problems can be formalized in FOL
    • It is the most expressive logic that one can adequately approach with automated theorem proving techniques

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