### Abstract

We present a formalization of parts of Melvin Fitting's book "First-Order Logic and Automated Theorem Proving". The formalization covers the syntax of first-order logic, its semantics, the model existence theorem, a natural deduction proof calculus together with a proof of correctness and completeness, as well as the Löwenheim-Skolem theorem.

### License

BSD License

### History

July 21, 2018
  Proved completeness theorem for open formulas. Proofs are now written in the declarative style. Enumeration of pairs and datatypes is automated using the Countable theory.

### Topics

- Logic/General logic/Classical first-order logic

### Session FOL-Fitting

- FOL_Fitting

### Used by

- First-Order Theory of Rewriting
- A Sequent Calculus for First-Order Logic

## Cite

×

FOL-Fitting-AFP

    @article{FOL-Fitting-AFP,
      author  = {Stefan Berghofer},
      title   = {First-Order Logic According to Fitting},
      journal = {Archive of Formal Proofs},
      month   = {August},
      year    = {2007},
      note    = {\url{https://isa-afp.org/entries/FOL-Fitting.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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