Simple Equational Specifications of Rational Arithmetic

Autor: Lawrence S. Moss
Jazyk: angličtina
Rok vydání: 2001
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol 4, Iss 2 (2001)
Druh dokumentu: article
ISSN: 1462-7264
1365-8050
Popis: We exhibit an initial specification of the rational numbers equipped with addition, subtraction, multiplication, greatest integer function, and absolute value. Our specification uses only the sort of rational numbers. It uses one hidden function; that function is unary. But it does not use an error constant, or extra (hidden) sorts, or conditional equations. All of our work is elementary and self-contained.
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