A new look at interpretability and saturation

M. Malliaris; S. Shelah

doi:10.1016/j.apal.2019.01.001

A new look at interpretability and saturation

M. Malliaris^*
, S. Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We investigate the interpretability ordering ⊴ ^⁎ using generalized Ehrenfeucht–Mostowski models. This gives a new approach to proving inequalities and investigating the structure of types.

Original language	English
Pages (from-to)	642-671
Number of pages	30
Journal	Annals of Pure and Applied Logic
Volume	170
Issue number	5
DOIs	https://doi.org/10.1016/j.apal.2019.01.001
State	Published - May 2019

Bibliographical note

Publisher Copyright:
© 2019 Elsevier B.V.

Keywords

Classification theory
Ehrenfeucht–Mostowski models
Interpretability order
Keisler's order
Model theory

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10.1016/j.apal.2019.01.001

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title = "A new look at interpretability and saturation",

abstract = " We investigate the interpretability ordering ⊴ ⁎ using generalized Ehrenfeucht–Mostowski models. This gives a new approach to proving inequalities and investigating the structure of types.",

keywords = "Classification theory, Ehrenfeucht–Mostowski models, Interpretability order, Keisler's order, Model theory",

author = "M. Malliaris and S. Shelah",

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year = "2019",

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AU - Malliaris, M.

AU - Shelah, S.

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AB - We investigate the interpretability ordering ⊴ ⁎ using generalized Ehrenfeucht–Mostowski models. This gives a new approach to proving inequalities and investigating the structure of types.

KW - Classification theory

KW - Ehrenfeucht–Mostowski models

KW - Interpretability order

KW - Keisler's order

KW - Model theory

UR - https://www.scopus.com/pages/publications/85060182566

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AN - SCOPUS:85060182566

SN - 0168-0072

VL - 170

SP - 642

EP - 671

JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

IS - 5

ER -

A new look at interpretability and saturation

Abstract

Bibliographical note

Keywords

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