Most general algebraic specifications for an abstract datatype of rational numbers

Open Access
Authors
Publication date 2020
Journal Scientific Annals of Computer Science
Volume | Issue number 30 | 1
Pages (from-to) 1-24
Organisations
  • Faculty of Science (FNWI) - Informatics Institute (IVI)
Abstract The notion of a most general algebraic specification of an arithmetical datatype of characteristic zero is introduced.Three examples of such specifications are given. A preference is formulated for a specification by means of infinitely many equations which can be presented via a finite number of so-called schematic equations phrased in terms of an infinite signature. On the basis of the latter specification three topics are discussed: (i) fracterm decomposition operators and the numerator paradox, (ii) foundational specifications of arithmetical datatypes, and (iii) poly-infix operations.
Document type Article
Language English
Published at https://doi.org/10.7561/SACS.2020.1.1
Published at https://www.info.uaic.ro/en/sacs_articles/most-general-algebraic-specifications-for-an-abstract-datatype-of-rational-numbers/
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