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An Introduction to Curry Systems : A Way to Algebraize Paraconsistent, Paracomplete, and Non-Alethic Logic / by Jair Minoro Abe.
Springer eBooks EBA - Intelligent Technologies and Robotics Collection 2025 Available online
View online- Format:
- Book
- Author/Creator:
- Abe, Jair Minoro.
- Series:
- Intelligent Systems Reference Library, 1868-4408 ; 280
- Language:
- English
- Subjects (All):
- Computational intelligence.
- Engineering mathematics.
- Engineering--Data processing.
- Engineering.
- Artificial intelligence.
- Algebra.
- Computational Intelligence.
- Mathematical and Computational Engineering Applications.
- Artificial Intelligence.
- Local Subjects:
- Computational Intelligence.
- Mathematical and Computational Engineering Applications.
- Artificial Intelligence.
- Algebra.
- Physical Description:
- 1 online resource (192 pages)
- Edition:
- 1st ed. 2025.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
- Summary:
- 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.
- Contents:
- 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.
- Other Format:
- Print version: Abe, Jair Minoro An Introduction to Curry Systems
- ISBN:
- 9783031978104
- OCLC:
- 1544986512
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