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Induction, bounding, weak combinatorial principles, and the homogeneous model theorem /
Goncharov and Peretyat'kin independently gave necessary and sufficient conditions for when a set of types of a complete theory T is the type spectrum of some homogeneous model of T. Their result can be stated as a principle of second order arithmetic, which is called the Homogeneous Model Theor...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1187. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | EBOOKCENTRAL_on1005657939 | ||
| 003 | OCoLC | ||
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| 020 | |a 9781470441418 |q (electronic bk.) | ||
| 020 | |a 1470441411 |q (electronic bk.) | ||
| 020 | |z 9781470426576 |q (print) | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Hirschfeldt, Denis Roman, |e author. | |
| 245 | 1 | 0 | |a Induction, bounding, weak combinatorial principles, and the homogeneous model theorem / |c Denis R. Hirschfeldt, Karen Lange, Richard A. Shore. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (v, 101 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 249, number 1187 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 249, Number 1187 (eighth of 8 numbers), September 2017." | ||
| 504 | |a Includes bibliographical references (pages 99-101). | ||
| 505 | 0 | |a Introduction -- Definitions -- The Atomic Model Theorem and Related Principles -- Defining Homogeneity -- Closure Conditions and Model Existence -- Extension Functions and Model Existence -- The Reverse Mathematics of Model Existence Theorems -- Open Questions -- Appendix A: Approximating Generics -- Appendix B: Atomic Trees -- Appendix C: Saturated Models -- Bibliography. | |
| 520 | |a Goncharov and Peretyat'kin independently gave necessary and sufficient conditions for when a set of types of a complete theory T is the type spectrum of some homogeneous model of T. Their result can be stated as a principle of second order arithmetic, which is called the Homogeneous Model Theorem (HMT), and analyzed from the points of view of computability theory and reverse mathematics. Previous computability theoretic results by Lange suggested a close connection between HMT and the Atomic Model Theorem (AMT), which states that every complete atomic theory has an atomic model. The authors sh. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Reverse mathematics. | |
| 650 | 0 | |a Computable functions. | |
| 650 | 0 | |a Decidability (Mathematical logic) | |
| 650 | 6 | |a Mathématiques à rebours. | |
| 650 | 6 | |a Fonctions calculables. | |
| 650 | 6 | |a Décidabilité (Logique mathématique) | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Computable functions |2 fast | |
| 650 | 7 | |a Decidability (Mathematical logic) |2 fast | |
| 650 | 7 | |a Reverse mathematics |2 fast | |
| 700 | 1 | |a Lange, Karen, |d 1980- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjFwGypRWYpgBP9qmQGBrq | |
| 700 | 1 | |a Shore, Richard A., |d 1946- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJhhmCFg3C86FJTKmFdhHC | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Induction, bounding, weak combinatorial principles, and the homogeneous model theorem (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGPHTFQwTJXd3PkrmFqfMd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Hirschfeldt, Denis Roman. |t Induction, bounding, weak combinatorial principles, and the homogeneous model theorem. |d Providence, Rhode Island : American Mathematical Society, [2017] |z 9781470426576 |w (DLC) 2017040911 |w (OCoLC)990118199 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1187. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5110287 |z Texto completo |
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| 938 | |a EBSCOhost |b EBSC |n 1617710 | ||
| 994 | |a 92 |b IZTAP | ||