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Introduction to Higher-Order Categorical Logic

1988-03-25 Mathematics
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Release : 1988-03-25
Genre : Mathematics
Kind : eBook
Book Rating : 534/5 ( reviews)

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Book Synopsis Introduction to Higher-Order Categorical Logic by : J. Lambek

Download or read book Introduction to Higher-Order Categorical Logic written by J. Lambek. This book was released on 1988-03-25. Available in PDF, EPUB and Kindle. Book excerpt: Part I indicates that typed-calculi are a formulation of higher-order logic, and cartesian closed categories are essentially the same. Part II demonstrates that another formulation of higher-order logic is closely related to topos theory.

Introduction to Higher Order Categorical Logic

1988 Categories (Mathematics)
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Release : 1988
Genre : Categories (Mathematics)
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Introduction to Higher Order Categorical Logic by : Joachim Lambek

Download or read book Introduction to Higher Order Categorical Logic written by Joachim Lambek. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt:

Categorical Logic and Type Theory

2001-05-10 Computers
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Release : 2001-05-10
Genre : Computers
Kind : eBook
Book Rating : 539/5 ( reviews)

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Book Synopsis Categorical Logic and Type Theory by : B. Jacobs

Download or read book Categorical Logic and Type Theory written by B. Jacobs. This book was released on 2001-05-10. Available in PDF, EPUB and Kindle. Book excerpt: This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.

First Order Categorical Logic

2006-11-15 Mathematics
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Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 001/5 ( reviews)

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Book Synopsis First Order Categorical Logic by : M. Makkai

Download or read book First Order Categorical Logic written by M. Makkai. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt:

Models and Games

2011-05-05 Mathematics
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Release : 2011-05-05
Genre : Mathematics
Kind : eBook
Book Rating : 336/5 ( reviews)

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Book Synopsis Models and Games by : Jouko Väänänen

Download or read book Models and Games written by Jouko Väänänen. This book was released on 2011-05-05. Available in PDF, EPUB and Kindle. Book excerpt: This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht–Fraïssé game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko Väänänen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equivalence and proof. All three methods are developed not only for first order logic but also for infinitary logic and generalized quantifiers. Along the way, the author also proves completeness theorems for many logics, including the cofinality quantifier logic of Shelah, a fully compact extension of first order logic. With over 500 exercises this book is ideal for graduate courses, covering the basic material as well as more advanced applications.

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