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Effective mathematics of the uncountable /
Classical computable model theory is most naturally concerned with countable domains. There are, however, several methods - some old, some new - that have extended its basic concepts to uncountable structures. Unlike in the classical case, however, no single dominant approach has emerged, and differ...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , , |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
[Ithaca, NY?] : Cambridge :
Association for Symbolic Logic ; Cambridge University Press,
2013.
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| Colección: | Lecture notes in logic ;
41. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Classical computable model theory is most naturally concerned with countable domains. There are, however, several methods - some old, some new - that have extended its basic concepts to uncountable structures. Unlike in the classical case, however, no single dominant approach has emerged, and different methods reveal different aspects of the computable content of uncountable mathematics. This book contains introductions to eight major approaches to computable uncountable mathematics: descriptive set theory; infinite time Turing machines; Blum-Shub-Smale computability; Sigma-definability; computability theory on admissible ordinals; E-recursion theory; local computability; and uncountable reverse mathematics. This book provides an authoritative and multifaceted introduction to this exciting new area of research that is still in its early stages. It is ideal as both an introductory text for graduate and advanced undergraduate students, and a source of interesting new approaches for researchers in computability theory and related areas.-- |
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| Descripción Física: | 1 online resource (viii, 197 pages) : illustrations |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781139028592 1139028596 9781461953678 1461953677 9781107521186 1107521181 9781306211901 1306211905 |