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Showing 1 to 20 of 105 for “"Model theory"”.

  1. Model theory and probability

    This thesis presents a systematic study of the model theory of probability algebras, random variable structures, and adapted structures, with an emphasis on their atomless counterparts. In this thesis, the author uses a continuous version of first order logic that has been developed recently and …

    uiuc Repository record for Model theory and probability (opens in a new tab)

  2. Computable Model Theory on Loops

    … We then give an overview of comptability theory, and apply it to loops and groups. We conclude by showing that a finitely presented residually finite algebra has a solvable word problem.</p>

    nmu Repository record for Computable Model Theory on Loops (opens in a new tab)

  3. Model Theory of Nakano Spaces

    … in continuous logic for metric structures. The theory of atomless Nakano spaces equipped with a modular having a fixed compact essential range is shown to admit quantifier elimination. It is also shown that if this essential range is moreover bounded away from 1, the latter theory is …

    uiuc Repository record for Model Theory of Nakano Spaces (opens in a new tab)

  4. Some Model Theory of Free Groups

    … two main sets of results, both pertaining to the model theory of free groups. In the first set of results, we prove that non-abelian free groups of finite rank at least 3 or of countable rank are not A-homogeneous. We then build on the proof of this result to show that two classes of groups, …

    cuny-grad Repository record for Some Model Theory of Free Groups (opens in a new tab)

  5. Model Theory of Valued Difference Fields

    In this thesis we investigate the model theoretic properties of valued difference fields, that is, valued fields equipped with a distinguished automorphism. We carry out this study in two different contexts depending on the interaction between the valuation and the distinguished automorphism. In …

    uiuc Repository record for Model Theory of Valued Difference Fields (opens in a new tab)

  6. Model theory of partially random structures

    … logic, and deduce in consequence many model-theoretic properties of the corresponding structures. The second part of this thesis develops a framework to study the aforementioned situations uniformly, shows that many examples of interest in model theory fit into this framework, and …

    uiuc Repository record for Model theory of partially random structures (opens in a new tab)

  7. Model Theory of Fields With Multiplicative Groups

    The general theme of this thesis is the model theory of fields expanded by multiplicative groups. We first consider a real closed field expanded by two subgroups of the positive part of that field. Then we investigate an algebraically closed field with a multiplicative subgroup satisfying a certain …

    uiuc Repository record for Model Theory of Fields With Multiplicative Groups (opens in a new tab)

  8. Contributions to model theory of metric structures

    Made available in DSpace on 2010-05-19T18:36:29Z (GMT). No. of bitstreams: 3 Tellez_Hernando.pdf: 683026 bytes, checksum: 63aec6056aa460a185790c297edd2ee9 (MD5) 1_Tellez_Hernando.pdf: 683016 bytes, checksum: 1498cf52175b63f07a8ffcf6f6c61998 (MD5) license.txt: 4064 bytes, checksum: …

    uiuc Repository record for Contributions to model theory of metric structures (opens in a new tab)

  9. Towards a model theory of logarithmic transseries

    DSpace SAF Submission Ingestion Package generated from Vireo submission #11336 on 2017-09-29 at 11:28:25

    uiuc Repository record for Towards a model theory of logarithmic transseries (opens in a new tab)

  10. Model Theory of Real -Trees and Their Isometries

    … signature. The thesis then describes a model companion of the theory of real-trees that has quantifier elimination, is complete and is stable but not superstable. The model theoretic independence relation for the model companion is described and it is shown that it is not categorical in …

    uiuc Repository record for Model Theory of Real -Trees and Their Isometries (opens in a new tab)

  11. The Extended Hubbard Model: Theory, Simulations, and Applications

    The Hubbard model is one of the most widely studied many-body models for interacting electrons in solids. Here we present a study of the Extended Hubbard model, which provides a more realistic description of real materials by including some longer-range Coulomb interactions. We discuss the …

    uiuc Repository record for The Extended Hubbard Model: Theory, Simulations, and Applications (opens in a new tab)

  12. The Extended Hubbard Model: Theory, Simulations, and Application

    Submitted by Jesse Garrison (jagarris@illinois.edu) on 2012-01-13T20:03:01Z No. of bitstreams: 1 1999_clay.pdf: 4762265 bytes, checksum: 0aa7a1eddaa6905e3f4b0e221520ac22 (MD5)

    uiuc Repository record for The Extended Hubbard Model: Theory, Simulations, and Application (opens in a new tab)

  13. A MULTI-COUNTRY LINK VECTOR AUTOREGRESSIVE MODEL THEORY AND EVIDENCE

    … is an alternative to structural econometric model building, specifically in forecasting. The challenge of the VAR technique has been, however, limited to models of national and regional economies.</p><p>This dissertation extends the scope of the VAR technique with the construction of a …

    unh-thes Repository record for A MULTI-COUNTRY LINK VECTOR AUTOREGRESSIVE MODEL THEORY AND EVIDENCE (opens in a new tab)

  14. Model Theory of Differentially Closed Fields With Several Commuting Derivations

    In this thesis we deal with the model theory of differentially closed fields of characteristic zero with several commuting derivations. The questions we consider belong to the area of geometric stability theory. First we observe that the only known lower bound for the Lascar rank of types in …

    uiuc Repository record for Model Theory of Differentially Closed Fields With Several Commuting Derivations (opens in a new tab)

  15. Model theory of algebraically closed fields and the Ax-Grothendieck Theorem

    … closed field with emphasis of the basic model-theoretic results concerning the theory of algebraically closed fields. One of these nice results about algebraically closed fields is the quantifier elimination property. We also show that the theory of algebraically closed field with a given …

    western-cape Repository record for Model theory of algebraically closed fields and the Ax-Grothendieck Theorem (opens in a new tab)

  16. Contributions to the Model Theory of Fields and Compact Complex Spaces

    "While the methods of geometric stability theory have traditionally been applied to algebraic rather than analytic geometry, it has been observed that these techniques are also meaningful when applied to compact complex analytic spaces. One obstacle is that these structures are not saturated in the …

    uiuc Repository record for Contributions to the Model Theory of Fields and Compact Complex Spaces (opens in a new tab)

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