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Author: Giovanni Sommaruga
Publisher: Springer Science & Business Media
ISBN: 9401593930
Category : Philosophy
Languages : en
Pages : 377
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Book Description
A comprehensive survey of Martin-Löf's constructive type theory, considerable parts of which have only been presented by Martin-Löf in lecture form or as part of conference talks. Sommaruga surveys the prehistory of type theory and its highly complex development through eight different stages from 1970 to 1995. He also provides a systematic presentation of the latest version of the theory, as offered by Martin-Löf at Leiden University in Fall 1993. This presentation gives a fuller and updated account of the system. Earlier, brief presentations took no account of the issues related to the type-theoretical approach to logic and the foundations of mathematics, while here they are accorded an entire part of the book. Readership: Comprehensive accounts of the history and philosophy of constructive type theory and a considerable amount of related material. Readers need a solid background in standard logic and a first, basic acquaintance with type theory.
Author: Giovanni Sommaruga
Publisher: Springer Science & Business Media
ISBN: 9401593930
Category : Philosophy
Languages : en
Pages : 377
Get Book Here
Book Description
A comprehensive survey of Martin-Löf's constructive type theory, considerable parts of which have only been presented by Martin-Löf in lecture form or as part of conference talks. Sommaruga surveys the prehistory of type theory and its highly complex development through eight different stages from 1970 to 1995. He also provides a systematic presentation of the latest version of the theory, as offered by Martin-Löf at Leiden University in Fall 1993. This presentation gives a fuller and updated account of the system. Earlier, brief presentations took no account of the issues related to the type-theoretical approach to logic and the foundations of mathematics, while here they are accorded an entire part of the book. Readership: Comprehensive accounts of the history and philosophy of constructive type theory and a considerable amount of related material. Readers need a solid background in standard logic and a first, basic acquaintance with type theory.
Author: Giovanni Sambin
Publisher: Clarendon Press
ISBN: 0191606936
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Per Martin-Löf's work on the development of constructive type theory has been of huge significance in the fields of logic and the foundations of mathematics. It is also of broader philosophical significance, and has important applications in areas such as computing science and linguistics. This volume draws together contributions from researchers whose work builds on the theory developed by Martin-Löf over the last twenty-five years. As well as celebrating the anniversary of the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It is an invaluable record of areas of current activity, but also contains contributions from N. G. de Bruijn and William Tait, both important figures in the early development of the subject. Also published for the first time is one of Per Martin-Löf's earliest papers.
Author: Per Martin-Löf
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 116
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Book Description
Author: Louis Kriesberg
Publisher: Rowman & Littlefield
ISBN: 9780742544239
Category : Family & Relationships
Languages : en
Pages : 452
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Book Description
A fourth edition of this textbook is now available. This popular, highly regarded, and comprehensive book synthesizes pertinent theories and evidence about diverse conflicts. Kriesberg examines the strategies that partisans and intermediaries can use to minimize the destructiveness of these conflicts. Not only does he examine large-scale forces that affect the various stages of conflict, but also the elements that contribute to constructive transformations at each stage. The diverse conflicts discussed are; the American civil rights struggle, the struggle for women's rights, apartheid in South Africa, labor-management relations, Palestinian-Israeli relations, protecting the environment, the Cold War, and countering terrorism, as well as conflicts in Northern Ireland, Chiapas, Mexico, and Sri Lanka. In addition to updating the conflicts examined in earlier editions, this new edition examines current issues, pertaining to ethical concerns, ideological and religious developments, and the changing global role of the United States.
Author: Yuen-Kwok Chan
Publisher: Cambridge University Press
ISBN: 1108835430
Category : Mathematics
Languages : en
Pages : 627
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Book Description
This book provides a systematic and general theory of probability within the framework of constructive mathematics.
Author: David W. Johnson
Publisher: Cambridge University Press
ISBN: 1107089816
Category : Business & Economics
Languages : en
Pages : 257
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Book Description
Using the social psychological theory of 'constructive controversy', this book analyses the nature of disagreement among members of decision-making groups. It addresses questions such as: do differences of opinion enhance or obstruct creative thinking? And why do people make decisions based only on their own perspective without considering alternative viewpoints?
Author: Bengt Nordström
Publisher: Oxford University Press, USA
ISBN:
Category : Computers
Languages : en
Pages : 240
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Book Description
In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-Löf. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples.
Author: B. Jacobs
Publisher: Gulf Professional Publishing
ISBN: 9780444508539
Category : Computers
Languages : en
Pages : 784
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Book Description
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.
Author: Stephen R. Covey
Publisher: Simon and Schuster
ISBN: 147110446X
Category : Self-Help
Languages : en
Pages : 218
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Book Description
Children in today's world are inundated with information about who to be, what to do and how to live. But what if there was a way to teach children how to manage priorities, focus on goals and be a positive influence on the world around them? The Leader in Meis that programme. It's based on a hugely successful initiative carried out at the A.B. Combs Elementary School in North Carolina. To hear the parents of A. B Combs talk about the school is to be amazed. In 1999, the school debuted a programme that taught The 7 Habits of Highly Effective Peopleto a pilot group of students. The parents reported an incredible change in their children, who blossomed under the programme. By the end of the following year the average end-of-grade scores had leapt from 84 to 94. This book will launch the message onto a much larger platform. Stephen R. Covey takes the 7 Habits, that have already changed the lives of millions of people, and shows how children can use them as they develop. Those habits -- be proactive, begin with the end in mind, put first things first, think win-win, seek to understand and then to be understood, synergize, and sharpen the saw -- are critical skills to learn at a young age and bring incredible results, proving that it's never too early to teach someone how to live well.
Author: Stefano Berardi
Publisher: Springer
ISBN: 3642024440
Category : Computers
Languages : en
Pages : 331
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Book Description
These proceedings contain a selection of refereed papers presented at or - lated to the Annual Workshop of the TYPES project (EU coordination action 510996), which was held during March 26–29, 2008 in Turin, Italy. The topic of this workshop, and of all previous workshops of the same project, was f- mal reasoning and computer programming based on type theory: languages and computerized tools for reasoning, and applications in several domains such as analysis of programming languages, certi?ed software, mobile code, formali- tion of mathematics, mathematics education. The workshop was attended by more than 100 researchers and included more than 40 presentations. We also had three invited lectures, from A. Asperti (University of Bologna), G. Dowek (LIX, Ecole polytechnique, France) and J. W. Klop (Vrije Universiteit, A- terdam, The Netherlands). From 27 submitted papers, 19 were selected after a reviewing process. Each submitted paper was reviewed by three referees; the ?nal decisions were made by the editors. This workshop is the last of a series of meetings of the TYPES working group funded by the European Union (IST project 29001, ESPRIT Working Group 21900, ESPRIT BRA 6435).
