Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics)

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9780521356534: Introduction to Higher-Order Categorical Logic (Cambridge Studies in Advanced Mathematics)

In this volume, Lambek and Scott reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher-order logic, and cartesian closed categories, are essentially the same. Part II demonstrates that another formulation of higher-order logic, (intuitionistic) type theories, is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludeds with a set of exercises.

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Book Description:

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.

Review:

"...important monograph...very clearly written..." SciTech Book News

"...a readable and timely account of important results, most of which were not previously available in book form." London Mathematical Society

"[The authors] present their material as persuasively and as lucidly as possible. In addition, they have included many useful exercises and illuminating historical and philosophical remarks, which should make the book attractive to an audience not confined to the already expert. This is an excellent and timely work on a subject that is assuming an increasingly important role in the foundations of mathematics." J.L. Bell, Journal of Symbolic Logic

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1.

Lambek, J.
Editore: Cambridge University Press 1988-05 (1988)
ISBN 10: 0521356539 ISBN 13: 9780521356534
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Descrizione libro Cambridge University Press 1988-05, 1988. Condizione libro: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-LSI-06850503

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2.

J. Lambek, P. J. Scott
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (1988)
ISBN 10: 0521356539 ISBN 13: 9780521356534
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1988. Paperback. Condizione libro: New. Reprint. Language: English . Brand New Book ***** Print on Demand *****. In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher order logic, and cartesian closed categories are essentially the same. In Part II, it is demonstrated that another formulation of higher order logic (intuitionistic type theories) is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludes with a set of exercises. Thus it is well-suited for graduate courses and research in mathematics and logic. Researchers in theoretical computer science, artificial intelligence and mathematical linguistics will also find this an accessible introduction to a subject of increasing application to these disciplines. Codice libro della libreria AAV9780521356534

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J. Lambek, P. J. Scott
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (1988)
ISBN 10: 0521356539 ISBN 13: 9780521356534
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1988. Paperback. Condizione libro: New. Reprint. Language: English . Brand New Book ***** Print on Demand *****.In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher order logic, and cartesian closed categories are essentially the same. In Part II, it is demonstrated that another formulation of higher order logic (intuitionistic type theories) is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludes with a set of exercises. Thus it is well-suited for graduate courses and research in mathematics and logic. Researchers in theoretical computer science, artificial intelligence and mathematical linguistics will also find this an accessible introduction to a subject of increasing application to these disciplines. Codice libro della libreria AAV9780521356534

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J. Lambek, P. J. Scott, B. Bollobas, W. Fulton, A. Katok
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Descrizione libro Cambridge University Press. Paperback. Condizione libro: new. BRAND NEW PRINT ON DEMAND., Introduction to Higher-order Categorical Logic, J. Lambek, P. J. Scott, B. Bollobas, W. Fulton, A. Katok, In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher order logic, and cartesian closed categories are essentially the same. In Part II, it is demonstrated that another formulation of higher order logic (intuitionistic type theories) is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludes with a set of exercises. Thus it is well-suited for graduate courses and research in mathematics and logic. Researchers in theoretical computer science, artificial intelligence and mathematical linguistics will also find this an accessible introduction to a subject of increasing application to these disciplines. Codice libro della libreria B9780521356534

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Lambek, J.
Editore: West Nyack, New York, U.S.A.: Cambridge Univ Pr (1988)
ISBN 10: 0521356539 ISBN 13: 9780521356534
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Descrizione libro West Nyack, New York, U.S.A.: Cambridge Univ Pr, 1988. Soft cover. Condizione libro: New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia,ht. Codice libro della libreria ABE-7767393837

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Lambek, J.
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Descrizione libro Cambridge University Press, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780521356534_lsuk

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Descrizione libro Cambridge University Press, 1988. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780521356534

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Descrizione libro Cambridge University Press, 1988. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780521356534

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9.

J.Lambek, P.J.Scott
Editore: Cambridge University Press (1988)
ISBN 10: 0521356539 ISBN 13: 9780521356534
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Descrizione libro Cambridge University Press, 1988. Soft cover. Condizione libro: New. In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher order logic, and cartesian closed categories are essentially the same. In Part II, it is demonstrated that another formulation of higher order logic (intuitionistic type theories) is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludes with a set of exercises. Thus it is well-suited for graduate courses and research in mathematics and logic. Researchers in theoretical computer science, artificial intelligence and mathematical linguistics will also find this an accessible introduction to a subject of increasing application to these disciplines. Codice libro della libreria 000369

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Descrizione libro Cambridge University Press. PAPERBACK. Condizione libro: New. 0521356539 New Condition. Codice libro della libreria NEW6.0275573

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