First-Order Logic According to Fitting

Title:	First-Order Logic According to Fitting
Author:	Stefan Berghofer
Contributor:	Andreas Halkjær From
Submission date:	2007-08-02
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.
Change history:	[2018-07-21]: 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.
BibTeX:	@article{FOL-Fitting-AFP, author = {Stefan Berghofer}, title = {First-Order Logic According to Fitting}, journal = {Archive of Formal Proofs}, month = aug, year = 2007, note = {\url{http://isa-afp.org/entries/FOL-Fitting.html}, Formal proof development}, ISSN = {2150-914x}, }
License:	BSD License
Status: [ok]	This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.