Overview

This book constitutes the thoroughly refereed post-proceedings of the International Workshop of the TYPES Working Group, TYPES 2000, held in Durham, UK in December 2000. The 15 revised full papers presented were carefully reviewed and selected during two rounds of refereeing and revision. All current issues on type theory and type systems and their applications to programming, systems design, and proof theory are addressed.

Full Product Details

Author:   Paul Callaghan ,  Zhaohui Luo ,  James McKinna ,  Robert Pollack
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2002 ed.
Volume:   2277
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.30cm
Weight:   0.820kg
ISBN:  

9783540432876

ISBN 10:   3540432876
Pages:   248
Publication Date:   20 February 2002
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Collection Principles in Dependent Type Theory.- Executing Higher Order Logic.- A Tour with Constructive Real Numbers.- An Implementation of Type:Type.- On the Logical Content of Computational Type Theory: A Solution to Curry's Problem.- Constructive Reals in Coq: Axioms and Categoricity.- A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals.- A Kripke-Style Model for the Admissibility of Structural Rules.- Towards Limit Computable Mathematics.- Formalizing the Halting Problem in a Constructive Type Theory.- On the Proofs of Some Formally Unprovable Propositions and Prototype Proofs in Type Theory.- Changing Data Structures in Type Theory: A Study of Natural Numbers.- Elimination with a Motive.- Generalization in Type Theory Based Proof Assistants.- An Inductive Version of Nash-Williams' Minimal-Bad-Sequence Argument for Higman's Lemma.

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