* New Book: Jaap van Oosten - Realizability
@ 2008-07-18 14:31 Jaap van Oosten
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From: Jaap van Oosten @ 2008-07-18 14:31 UTC (permalink / raw)
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The following book appeared in April this year:
Jaap van Oosten - Realizability: an Introduction to its Categorical Side
Studies in Logic 152, Elsevier
This book is a monograph about the effective topos and related toposes.
The book is intended to provide advanced undergraduate students and
Ph.D. students with a concise introduction to the effective topos.
Contains introductions to partial combinatory algebras, tripos theory,
construction of the effective topos. Synthesizes the existing
literature, making a lot of material accessible to all readers. Many
applications to recursive analysis, intuitionistic set theory, synthetic
domain theory. Reviews abstract aspects of the effective topos
construction. Variations are also developed, such as Lifschitz
realizability, Modified realizability, Kleene-Vesley realizability.
For Preface, Introduction and Table of Contents see:
http://www.math.uu.nl/people/jvoosten/boekbegin.pdf
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