LEADER 03385nam 2200649 a 450 001 9910789411903321 005 20230725031451.0 010 $a1-283-14816-1 010 $a9786613148162 010 $a1-84816-277-4 035 $a(CKB)2670000000095533 035 $a(EBL)737616 035 $a(OCoLC)733048100 035 $a(SSID)ssj0000521617 035 $a(PQKBManifestationID)12187527 035 $a(PQKBTitleCode)TC0000521617 035 $a(PQKBWorkID)10522475 035 $a(PQKB)11324784 035 $a(MiAaPQ)EBC737616 035 $a(WSP)0000P577 035 $a(Au-PeEL)EBL737616 035 $a(CaPaEBR)ebr10480218 035 $a(CaONFJC)MIL314816 035 $a(EXLCZ)992670000000095533 100 $a20101004d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aComputability in context$b[electronic resource] $ecomputation and logic in the real world /$feditors, S. Barry Cooper, Andrea Sorbi 210 $aLondon $cImperial College Press ;$aSingapore ;$aHackensack, N.J. $cWorld Scientific Pub. Co.$d2011 215 $a1 online resource (419 p.) 300 $aDescription based upon print version of record. 311 $a1-84816-245-6 320 $aIncludes bibliographical references. 327 $aPreface; Contents; 1. Computation, Information, and the Arrow of Time P. Adriaans & P. van Emde Boas; 2. The Isomorphism Conjecture for NP M. Agrawal; 3. The Ershov Hierarchy M. M. Arslanov; 4. Complexity and Approximation in Reoptimization G. Ausiello, V. Bonifaci, & B. Escoffer; 5. Definability in the Real Universe S. B. Cooper; 6. HF-Computability Y. L. Ershov, V. G. Puzarenko, & A. I. Stukachev; 7. The Mathematics of Computing between Logic and Physics G. Longo & T. Paul; 8. Liquid State Machines: Motivation, Theory, and Applications W. Maass 327 $a9. Experiments on an Internal Approach to Typed Algorithms in Analysis D. Normann10. Recursive Functions: An Archeological Look P. Odifreddi; 11. Reverse Mathematics and Well-ordering Principles M. Rathjen & A. Weiermann; 12. Discrete Transfinite Computation Models P. D. Welch 330 $aComputability has played a crucial role in mathematics and computer science, leading to the discovery, understanding and classification of decidable/undecidable problems, paving the way for the modern computer era, and affecting deeply our view of the world. Recent new paradigms of computation, based on biological and physical models, address in a radically new way questions of efficiency and challenge assumptions about the so-called Turing barrier. This volume addresses various aspects of the ways computability and theoretical computer science enable scientists and philosophers to deal with m 606 $aComputable functions 606 $aComputational intelligence 606 $aSet theory 606 $aMathematics$xPhilosophy 615 0$aComputable functions. 615 0$aComputational intelligence. 615 0$aSet theory. 615 0$aMathematics$xPhilosophy. 676 $a511.3/52 701 $aCooper$b S. B$g(S. Barry)$060840 701 $aSorbi$b Andrea$f1956-$059072 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910789411903321 996 $aComputability in context$93851958 997 $aUNINA