Name: Equivalential Universal Horn Theories: Algebraic Systems Versus Pure Algebras Within General Algebraic Logic (en Inglés)
SKU: 60056318
Price: 38290.00 COP
Availability: InStock
Author: Pynko, Alexej P.
ISBN: 9781794517554

portada Equivalential Universal Horn Theories: Algebraic Systems Versus Pure Algebras Within General Algebraic Logic (en Inglés)

Equivalential Universal Horn Theories: Algebraic Systems Versus Pure Algebras Within General Algebraic Logic (en Inglés)

Formato

Libro Físico

Autor

Alexej P. Pynko

Editorial

Independently Published

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x0.4 cm

Peso

0.11 kg.

ISBN13

9781794517554

Categorías

Álgebra

Equivalential Universal Horn Theories: Algebraic Systems Versus Pure Algebras Within General Algebraic Logic (en Inglés)

Alexej P. Pynko (Autor) · Independently Published · Tapa Blanda

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Reseña del libro "Equivalential Universal Horn Theories: Algebraic Systems Versus Pure Algebras Within General Algebraic Logic (en Inglés)"

As a peliminary point, we start from extending Mal'cev's conceptof rational equivalence of prevarieties ofpure algebras to those of algebraic systemsjustifying this extension by a Mal'cev-stylecategorical characterization.Next, we extend the concept of equivalentpurely-algebraic semantics, being a prevariety ofpure algebras, to prevarieities of algebraic systems.In this way, the concept of equivalential UHTarises as the respective extension of the oneof algebraizable UHT, each equivalential UHT having a unique(modulo rational equivalence) equivalentalgebraic semantics.We then apply our general theory of equivalence ofuniversal Horn theories to reducing the problemof finding extensions of an equivalential UHT to thatof finding subprevarieties of its equivalent algebraic semantics.Our general elaboration is well-applicable tosequent calculi with structural rules assiciated with finitely-valued logics with equality determinantknown to be equivalential.Finally, we exemplify our general study by exploringfour examples of non-algebraizable sequent calculiof such a kind, one of them being equivalent tothe corresponding sentential logic