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Model theory

Most popular at the top

  • Finite Model Theoryby Heinz-Dieter Ebbinghaus; Jörg Flum

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 109.00

    Presents the main results of descriptive complexity theory - the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. This book also looks at important logic in this context, which include fixed-point logic, transitive closure logic, and certain infinitary languages. more...

  • Institution-independent Model Theoryby Razvan Diaconescu

    Springer 2008; US$ 109.00

    A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics. This generality can be achieved by applying the theory of institutions that provides a precise mathematical formulation for the intuitive concept of a logical system. more...

  • Classification Theoryby S. Shelah

    Elsevier 1990; US$ 376.00

    In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large... more...

  • Model Theoryby C.C. Chang; H.J. Keisler

    Elsevier 1990; US$ 184.00

    Since the second edition of this book (1977), Model Theory has changed radically, and is now concerned with fields such as classification (or stability) theory, nonstandard analysis, model-theoretic algebra, recursive model theory, abstract model theory, and model theories for a host of nonfirst order logics. Model theoretic methods have also had a major impact on set theory, recursion theory, and proof theory. This new edition has been updated to take account of these changes, while preserving its usefulness as a first textbook in model theory. Whole new sections have been added, as well as new exercises and references. A number of updates, improvements and corrections have been made to the main text. more...

  • The Concept of Modelby Alain Badiou; Zachary Fraser; Tzuchien Tho

    re.press 2007; US$ 25.00

    In The Concept of Model Alain Badiou establishes a new logical 'concept of model'. Translated for the first time into English, the work is accompanied by an exclusive interview with Badiou in which he elaborates on the connections between his early and most recent work?for which the concept of model remains seminal. more...

  • The Birth of Model Theoryby Calixto Badesa

    Princeton University Press 2004; US$ 75.00

    Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result that scholars attribute to Löwenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like Löwenheim--appears to have attributed to him. In The Birth of Model Theory , Calixto Badesa provides both the first sustained, book-length analysis of Löwenheim's proof and a detailed description of the... more...

  • The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Idealby W. Hugh Woodin

    Walter de Gruyter, Inc. 2010; US$ 169.95

    This is the revised and updated second edition of a well-established research monograph on the axiom of determinacy, written by an expert in the field. This axiom is a fundamental statement in set theory, and it is related to winning strategies in game theory. more...

  • Complete theoriesby Abraham Robinson

    Elsevier 2000; US$ 250.00

    Provability, Computability and Reflection more...

  • An Introduction to Independence for Analystsby H. G. Dales; W. H. Woodin

    Cambridge University Press 1987; US$ 74.00

    Forcing is a powerful tool from logic which is used to prove that certain propositions of mathematics are independent of the basic axioms of set theory, ZFC. more...

  • Model Theory of Groups and Automorphism Groupsby David M. Evans

    Cambridge University Press 1997; US$ 65.00

    Surveys recent interactions between model theory and other branches of mathematics, notably group theory. more...