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Meadows as a New Theme in the Theory of Rings and Fields | meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probab

The primary mathematical structure for measurement and computation is unquestionably a field. Because fields do not have a purely equational axiomatization, the axioms of a field cannot be used in applications of the theory of abstract data types to number systems based on rational, real or complex numbers. This state of affairs brought Bergstra and…

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Meadows as a New Theme in the Theory of Rings and Fields | meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probab | meadowsite.wordpress.com Reviews
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The primary mathematical structure for measurement and computation is unquestionably a field. Because fields do not have a purely equational axiomatization, the axioms of a field cannot be used in applications of the theory of abstract data types to number systems based on rational, real or complex numbers. This state of affairs brought Bergstra and…
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Meadows as a New Theme in the Theory of Rings and Fields | meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probab | meadowsite.wordpress.com Reviews

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The primary mathematical structure for measurement and computation is unquestionably a field. Because fields do not have a purely equational axiomatization, the axioms of a field cannot be used in applications of the theory of abstract data types to number systems based on rational, real or complex numbers. This state of affairs brought Bergstra and…

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Theory Papers | Meadows as a New Theme in the Theory of Rings and Fields

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Meadows as a New Theme in the Theory of Rings and Fields. Meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probabilistic thread algebra, Kolmogorov's probability axioms. C A Middelburg (2015). Last update: February 14, 2017. Meadows as a New Theme in the Theory of Rings and Fields. Blog at WordPress.com.

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Preprints | Meadows as a New Theme in the Theory of Rings and Fields

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Meadows as a New Theme in the Theory of Rings and Fields. Meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probabilistic thread algebra, Kolmogorov's probability axioms. J A Bergstra, Y. Hirshfeld, and J. V. Tucker (2009). Skew meadows. arXiv:0901.0803v1 [math.RA]. C A Middelburg (2015). Last update: February 14, 2017. Blog at WordPress.com. Send to Email Address.

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Refereed Papers | Meadows as a New Theme in the Theory of Rings and Fields

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Meadows as a New Theme in the Theory of Rings and Fields. Meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probabilistic thread algebra, Kolmogorov's probability axioms. J A Bergstra (2006). Elementary algebraic specifications of the rational function field. In A. Beckmann et al., editors,. Journal of the ACM. 2):Article 7. doi:10.1145/1219092.1219095. J A Bergstra...

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Related Work | Meadows as a New Theme in the Theory of Rings and Fields

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Meadows as a New Theme in the Theory of Rings and Fields. Meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probabilistic thread algebra, Kolmogorov's probability axioms. And the investigation of their connection with involutive meadows. Still another way considered is the way in which the multiplicative inverse of zero is an additional value that can be interpr...

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Refereed Papers | Meadows as a New Theme in the Theory of Rings and Fields

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Meadows as a New Theme in the Theory of Rings and Fields. Meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probabilistic thread algebra, Kolmogorov's probability axioms. J A Bergstra, A. Ponse, and M. B. van der Zwaag (2008). Tuplix calculus. Scientific Annals of Computer Science. 35 61 Retrievable from http:/ www.info.uaic.ro/bin/Annals/XVIII. Postprint: arXiv:141...

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Blog | Instruction Sequences as a Theme in Computer Science | instruction sequence, programming language semantics, programming language expressiveness, computability, computational complexity, algorithm efficiency, algorithmic equivalence of programs, pro

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Instruction Sequences as a Theme in Computer Science. Instruction sequence, programming language semantics, programming language expressiveness, computability, computational complexity, algorithm efficiency, algorithmic equivalence of programs, program verification, program performance, program compactness, program parallelization. Axioms for Behavioural Congruence of Single-Pass Instruction Sequences. February 14, 2017. Instruction Sequence Size Complexity of Parity. January 9, 2017. Has now been publis...

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Meadows as a New Theme in the Theory of Rings and Fields | meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probab

Meadows as a New Theme in the Theory of Rings and Fields. Meadow, field, division-by-zero, equational axiomatization, totalized field, rational number, real number, complex number, fraction, data linkage dynamics, tuplix calculus, process calculus, probabilistic thread algebra, Kolmogorov's probability axioms. As alternatives for fields with a purely equational axiomatization. It follows from the axioms of a meadow that the multiplicative inverse operation also satisfies the equation. All fields in which...

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