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Logic and Computers

Combinatory Logic as Extension of Elementary Number Theory
  • Corrado Böhm
Part of the Synthese Library book series (SYLI, volume 149)

Abstract

Shortly after the appearance of the first computers, that is computing machines with stored programs, there arose the problem of how to communicate efficiently with them, especially how to simplify the writing of coded instructions. Zuse (1949) was probably the first to suggest that machines should be employed to facilitate this work using logical propositional methods. Shortly after, the author of this article (1951–52) devised a ‘language’. Its phrases were to have a double meaning: for mathematicians they signified the description of some algorithm and for the computer they signified a list of instructions to be obeyed in order to implement that algorithm. Moreover the computer was to take upon itself the task of translating these phrases into sequences of instructions written in its own code (Böhm, 1954).

Keywords

Turing Machine Recursive Function Combinatory Logic Axiom Scheme Binatory Integer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company 1981

Authors and Affiliations

  • Corrado Böhm
    • 1
  1. 1.University of RomeItaly

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