Rutgers University 3 credits Computer Science
An introduction to both the syntax and semantics (basic model theory) of first-order logic, covering one set of inference rules, sequent calculus or a tableau system, and prove the completeness theorem for the proof system. Also covers a relatively modern (and simpler) form of incompleteness theorems and relates it to computational issues such as the halting problem, as well as issues related to automating logical reasoning. These will include Herbrand's theorem, resolution, and logic programming. Prerequisites: 21:198:335, 21:640:237, and 21:640:235.
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