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An introduction to Curry systemsa way to algebraize paraconsistent, paracomplete, and non-alethic logic /

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to Curry systemsby Jair Minoro Abe.
Reminder of title:	a way to algebraize paraconsistent, paracomplete, and non-alethic logic /
Author:	Abe, Jair Minoro.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xi, 122 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonclassical mathematical logic.
Online resource:	https://doi.org/10.1007/978-3-031-97810-4
ISBN:	9783031978104$q(electronic bk.)

An introduction to Curry systemsa way to algebraize paraconsistent, paracomplete, and non-alethic logic /
Abe, Jair Minoro.

An introduction to Curry systemsa way to algebraize paraconsistent, paracomplete, and non-alethic logic /[electronic resource] :by Jair Minoro Abe. - Cham :Springer Nature Switzerland :2025. - xi, 122 p. :ill., digital ;24 cm. - Intelligent systems reference library,v. 2801868-4408 ;. - Intelligent systems reference library ;v.24..

1.Curry Systems -- 2.C n Algebras -- 3.Heyting Algebras -- 4.P n -Algebras -- 5.N n -Algebras -- 6.Algebraization Of 1 st Order Paraconsistent Systems C*n -- 7.Algebraization of 1 st Order Paracomplete Systems Pn* -- 8.Algebraization Of 1 st Order Non-Alethic Systems N n * -- 9.P Algebras & Monadic Curry Algebras Q -- 10.Alternative Algebraization of Classic Logic -- 11.Conclusion.

This book presents a pioneering investigation of the algebraic foundations of non-classical logics. Unifying paraconsistent, paracomplete, and non-alethic structures introduces Curry Systems as a versatile and unifying framework that transcends the limitations of traditional algebraization. Through the formal development of the Cn-, Pn-, Nn-, and Pτ-algebras, as well as their first-order extensions, this book offers pre-algebraic tools for modeling contradiction, indeterminacy, and non-alethic reasoning. Essential reading for logicians, mathematicians, philosophers of logic, and researchers in artificial intelligence, this book demonstrates how algebraic methods can rigorously capture reasoning under inconsistency and incompleteness. At once a comprehensive reference and intellectual invitation, it highlights the important role of pre-algebraic structures in the development of logical theory and intelligent systems.

ISBN: 9783031978104$q(electronic bk.)

Standard No.: 10.1007/978-3-031-97810-4doiSubjects--Topical Terms:

665393
Nonclassical mathematical logic.

LC Class. No.: QA9.4

Dewey Class. No.: 511.31

An introduction to Curry systemsa way to algebraize paraconsistent, paracomplete, and non-alethic logic /
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520 $a This book presents a pioneering investigation of the algebraic foundations of non-classical logics. Unifying paraconsistent, paracomplete, and non-alethic structures introduces Curry Systems as a versatile and unifying framework that transcends the limitations of traditional algebraization. Through the formal development of the Cn-, Pn-, Nn-, and Pτ-algebras, as well as their first-order extensions, this book offers pre-algebraic tools for modeling contradiction, indeterminacy, and non-alethic reasoning. Essential reading for logicians, mathematicians, philosophers of logic, and researchers in artificial intelligence, this book demonstrates how algebraic methods can rigorously capture reasoning under inconsistency and incompleteness. At once a comprehensive reference and intellectual invitation, it highlights the important role of pre-algebraic structures in the development of logical theory and intelligent systems.
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