Algebraic Model of an Arithmetic Unit for TTE-Computable Normalized Rational Numbers

  • Authors:
  • Gregorio Miguel Casado;Juan Manuel García Chamizo;María Teresa Signes Pont

  • Affiliations:
  • SPA-Lab,University of Alicante, 03690, San Vicente del Raspeig, Alicante, Spain;SPA-Lab,University of Alicante, 03690, San Vicente del Raspeig, Alicante, Spain;SPA-Lab,University of Alicante, 03690, San Vicente del Raspeig, Alicante, Spain

  • Venue:
  • CiE '07 Proceedings of the 3rd conference on Computability in Europe: Computation and Logic in the Real World
  • Year:
  • 2007

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Abstract

A formal specification of an arithmetic unit for computable normalized rational numbers is proposed. This specification, developed under the scope of the paradigm known as algebraic models of processors, exploits the connection between the signed digit representation for rational numbers in Type-2 Theory of Effectivity and online arithmetic in Computer Arithmetic. The proposal aims for specification formalization and calculation reliability together with implementation feasibility.