An Overview of Compositional Translations

  • Authors:
  • Theo M. V. Janssen

  • Affiliations:
  • -

  • Venue:
  • COMPOS'97 Revised Lectures from the International Symposium on Compositionality: The Significant Difference
  • Year:
  • 1997

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Abstract

Translations from one language to another arise in many fields of science: in computer science (compilers, data base views), logic (embeddings), natural language (translation), and philosophy (Montague grammar). In all these fields one can find the same method: compositional translation, or in mathematical formulation, algebraic translation. In some fields it is a standard method, in other fields a rare approach. The aim of this paper is to give an overview of compositional translations. Special attention will be given to the notion 'correct translation' (which can be formalized by commutativity of a diagram). Furthermore, the first steps will be will be made towards a mathematical theory of translating.