The Clausal Theory of Types

@inproceedings{Wolfram1990TheCT,
  title={The Clausal Theory of Types},
  author={D. A. Wolfram},
  year={1990}
}
Logic programming was based on first-order logic. Higher-order logics can also lead to theories of theorem-proving. This book introduces just such a theory, based on a lambda-calculus formulation of a clausal logic with equality, known as the Clausal Theory of Types. By restricting this logic to Horn clauses, a concise form of logic programming that incorporates functional programming is achieved. The book begins by reviewing the fundamental Skolem-Herbrand-Godel Theorem and resolution, which… 
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