LEADER 03531nam 22006495 450 001 9911021961303321 005 20250826130156.0 010 $a9783031978104$b(electronic bk.) 010 $z9783031978098 024 7 $a10.1007/978-3-031-97810-4 035 $a(MiAaPQ)EBC32272995 035 $a(Au-PeEL)EBL32272995 035 $a(CKB)40426784000041 035 $a(DE-He213)978-3-031-97810-4 035 $a(OCoLC)1544986512 035 $a(EXLCZ)9940426784000041 100 $a20250826d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Curry Systems $eA Way to Algebraize Paraconsistent, Paracomplete, and Non-Alethic Logic /$fby Jair Minoro Abe 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (192 pages) 225 1 $aIntelligent Systems Reference Library,$x1868-4408 ;$v280 311 08$aPrint version: Abe, Jair Minoro An Introduction to Curry Systems Cham : Springer,c2025 9783031978098 327 $a1.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. 330 $aThis book presents a pioneering investigation of the algebraic foundations of non-classical logics. Unifying paraconsistent, paracomplete, and non-alethic structures introduces Curry Systems as a versatile and unifying framework that transcends the limitations of traditional algebraization. Through the formal development of the Cn-, Pn-, Nn-, and P?-algebras, as well as their first-order extensions, this book offers pre-algebraic tools for modeling contradiction, indeterminacy, and non-alethic reasoning. Essential reading for logicians, mathematicians, philosophers of logic, and researchers in artificial intelligence, this book demonstrates how algebraic methods can rigorously capture reasoning under inconsistency and incompleteness. At once a comprehensive reference and intellectual invitation, it highlights the important role of pre-algebraic structures in the development of logical theory and intelligent systems. 410 0$aIntelligent Systems Reference Library,$x1868-4408 ;$v280 606 $aComputational intelligence 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aArtificial intelligence 606 $aAlgebra 606 $aComputational Intelligence 606 $aMathematical and Computational Engineering Applications 606 $aArtificial Intelligence 606 $aAlgebra 615 0$aComputational intelligence. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aArtificial intelligence. 615 0$aAlgebra. 615 14$aComputational Intelligence. 615 24$aMathematical and Computational Engineering Applications. 615 24$aArtificial Intelligence. 615 24$aAlgebra. 676 $a006.3 700 $aAbe$b Jair Minoro$0739806 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9911021961303321 996 $aAn Introduction to Curry Systems$94429494 997 $aUNINA