AMBIT: A PROGRAMMING LANGUAGE FOR ALGEBRAIC SYMBOL MANIPULATION.

Abstract

This paper defines a programming language system called AMBIT (Algebraic Manipulation By Identity Translation). The AMBIT language is intended for the precise description of the operations of mathematics in general, and programs in the languages are suitable for efficient compilation and execution by an automatic computer. The language is distinguished by its adherence to an important portion of the conventional notation of algebra, the 'identity'. AMBIT uses the 'identity' to express in a single linguistic structure an arbitrarily complex sequence of elementary symbol-manipulation operations, just as FORTRAN and ALGOL use the 'formula' to express in a single linguistic structure an arbitrarily complex sequence of arithmetic operations. Thus AMBIT attempts to serve algebra as FORTRAN and ALGOL serve arithmetic. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1964
Accession Number
AD0608894

Entities

People

  • Carlos Christensen

Tags

DTIC Thesaurus Topics

  • Adhesion
  • Arithmetic
  • Automatic
  • Computer Programming
  • Computers
  • Identities
  • Language
  • Mathematics
  • Notation
  • Programming Languages
  • Sequences
  • Translations

Readers

  • Calculus or Mathematical Analysis
  • Computational Linguistics