An Introduction to Curry Systems : A Way to Algebraize Paraconsistent, Paracomplete, and Non-Alethic Logic / / by Jair Minoro Abe
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| Autore: |
Abe Jair Minoro
|
| Titolo: |
An Introduction to Curry Systems : A Way to Algebraize Paraconsistent, Paracomplete, and Non-Alethic Logic / / by Jair Minoro Abe
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Edizione: | 1st ed. 2025. |
| Descrizione fisica: | 1 online resource (192 pages) |
| Disciplina: | 006.3 |
| Soggetto topico: | Computational intelligence |
| Engineering mathematics | |
| Engineering - Data processing | |
| Artificial intelligence | |
| Algebra | |
| Computational Intelligence | |
| Mathematical and Computational Engineering Applications | |
| Artificial Intelligence | |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | An Introduction to Curry Systems |
| ISBN: | 9783031978104 |
| 9783031978098 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9911021961303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Intelligent Systems Reference Library, . 1868-4408 ; ; 280