Types for Proofs and Programs

International Workshop TYPES'96, Aussois, France, December 15-19, 1996 Selected Papers

By: Eduardo Gimenez (Editor), Christine Paulin-Mohring (Editor)

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Paperback | 7 October 1998

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This book constitutes the thoroughly revised post-workshop proceedings of the first annual workshop held under the auspices of the ESPRIT Working Group 21900 TYPES in Aussois, France in December 1996.
The 18 revised full papers presented in the book were carefully reviewed and selected from the 30 papers accepted for presentation at the workshop. All current aspects of type theory and type systems and their applications to program verification and theorem proving are addressed; the proof systems and theorem provers dealt with include Coq, LEGO, and Isabelle/HOL.

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Non-Fiction Mathematics Mathematical Foundation Mathematical Logic Medicine Medicine in General Computing & I.T.Computer Programming & Software Development Programming & Scripting Languages Software Engineering Computer Science Artificial Intelligence

Computer Architecture & Logic Design

Introduction	p. 1
Coercion Synthesis in Computer Implementations of Type-Theoretic Frameworks	p. 9
Verification of the Interface of a Small Proof System in Coq	p. 28
An Implementation of the Heine-Borel Covering Theorem in Type Theory	p. 46
Detecting and Removing Dead-Code using Rank 2 Intersection	p. 66
A Type-Free Formalization of Mathematics where Proofs are Objects	p. 88
Higman's Lemma in Type Theory	p. 112
A Proof of Weak Termination of Typed [lambda][sigma]-Calculi	p. 134
Proof Style	p. 154
Some Algorithmic and Proof-Theoretical Aspects of Coercive Subtyping	p. 173
Semantical BNF	p. 196
The Internal Type Theory of a Heyting Pretopos	p. 216
Inverting Inductively Defined Relations in LEGO	p. 236
A Generic Normalisation Proof for Pure Type Systems	p. 254
Proving a Real Time Algorithm for ATM in Coq	p. 277
Dependent Types with Explicit Subtitutions: A Meta-Theoreticical Development	p. 294
Type Inference Verified: Algorithm W in Isabelle/HOL	p. 317
Continuous Lattices in Formal Topology	p. 333
Abstract Insertion Sort in an Extension of Type Theory with Record Types and Subtyping	p. 354
Author Index	p. 373
Table of Contents provided by Blackwell. All Rights Reserved.

Types for Proofs and Programs

International Workshop TYPES'96, Aussois, France, December 15-19, 1996 Selected Papers

At a Glance

Paperback

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