A Mechanical Proof of the Turing Completeness of Pure LISP.

Abstract

The authors describe a proof by a computer program of the Turing completeness of a computational paradigm akin to Pure LISP. That is, they define formally the notions of a Turing machine and of a version of Pure LISP and prove that anything that can be computed by a Turing machine can be computed by LISP. While this result is straightforward, they believe this is the first instance of a machine proving the Turing completeness of another computational paradigm. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA130625

Entities

People

  • J. Strother Moore
  • Robert S. Boyer

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Arithmetic
  • Automata
  • Automatic
  • Computations
  • Computer Programming
  • Computer Programs
  • Computer Science
  • Computers
  • Language
  • Lisp Programming Language
  • Machines
  • Mathematics
  • Programming Languages
  • Recursive Functions
  • Test And Evaluation
  • United States Government

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Computational Linguistics
  • Mathematical Modeling and Probability Theory.