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Dynamic evaluation and real closure

Author

Listed:
  • Duval, D.
  • González-Vega, L.

Abstract

The aim of this paper is to present how the dynamic evaluation method can be used to deal with the real closure of an ordered field. Two kinds of questions, or tests, may be asked in an ordered field: equality tests (a = b?) and sign tests (a > b?). Equality tests are handled through splittings, exactly as in the algebraic closure of a field. Sign tests are handled through a structure called “Tarski data type”.

Suggested Citation

  • Duval, D. & González-Vega, L., 1996. "Dynamic evaluation and real closure," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 551-560.
    • Handle: RePEc:eee:matcom:v:42:y:1996:i:4:p:551-560
    DOI: 10.1016/S0378-4754(96)00032-8
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    References listed on IDEAS

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    1. Duval, Dominique & Reynaud, Jean-Claude, 1996. "Sketches and computations over fields," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 363-373.
    2. Ligatsikas, Zenon & Rioboo, Renaud & Roy, Marie Françoise, 1996. "Generic computation of the real closure of an ordered field," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 541-549.
    3. Gómez-Díaz, Teresa, 1996. "Examples of using dynamic constructible closure," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 375-383.
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    1. Duval, Dominique & Reynaud, Jean-Claude, 1996. "Sketches and computations over fields," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(4), pages 363-373.

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