Some Applications of Positive Formulas in Descriptive Set Theory and Logic PDF Download
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Author: Stephen Douglas Dyck
Publisher:
ISBN:
Category :
Languages : en
Pages : 194
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Author: Stephen Douglas Dyck
Publisher:
ISBN:
Category :
Languages : en
Pages : 194
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Book Description
Author: Su Gao
Publisher: CRC Press
ISBN: 9781584887942
Category : Mathematics
Languages : en
Pages : 392
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Book Description
Presents Results from a Very Active Area of ResearchExploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathem
Author:
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 892
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Book Description
Vols. for 1969- include a section of abstracts.
Author: Erich Grädel
Publisher: Springer Science & Business Media
ISBN: 3540004289
Category : Computers
Languages : en
Pages : 447
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Book Description
Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,“thebranchof mathematical logic which deals with the relation between a formal language and its interpretations”. No wonder, then, that mathematical logic, and ?nite model theory in particular, should ?nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of ?nite model theory: expressive power, descriptive complexity, and zero–one laws, together with selected applications to database theory and arti?cial intelligence, es- cially constraint databases and constraint satisfaction problems. The ?nal chapter provides a concise modern introduction to modal logic,which emp- sizes the continuity in spirit and technique with ?nite model theory.
Author: Alexander Kechris
Publisher: Springer Science & Business Media
ISBN: 1461241901
Category : Mathematics
Languages : en
Pages : 419
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Book Description
Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subject, which combines many elements of the different traditions. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.
Author: Glenn Shafer
Publisher: John Wiley & Sons
ISBN: 0471461717
Category : Business & Economics
Languages : en
Pages : 438
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Book Description
Provides a foundation for probability based on game theory rather than measure theory. A strong philosophical approach with practical applications. Presents in-depth coverage of classical probability theory as well as new theory.
Author: Andreas Blass
Publisher: American Mathematical Soc.
ISBN: 0821834746
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Two conferences, Logic and Its Applications in Algebra and Geometry and Combinatorial Set Theory, Excellent Classes, and Schanuel Conjecture, were held at the University of Michigan (Ann Arbor). These events brought together model theorists and set theorists working in these areas. This volume is the result of those meetings. It is suitable for graduate students and researchers working in mathematical logic.
Author: Cyrus F. Nourani
Publisher: CRC Press
ISBN: 1482231506
Category : Mathematics
Languages : en
Pages : 296
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Book Description
This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 916
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Author:
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ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1016
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