Types for Proofs and Programs: International Workshop, TYPES 2004, Jouy-en-Josas, France, December 15-18, 2004, Revised Selected Papers / Edition 1

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Overview

The 17 revised full papers presented here cover all current issues of formal reasoning and computer programming based on type theory are addressed; in particular languages and computerised tools for reasoning, and applications in several domains such as analysis of programming languages, certified software, formalisation of mathematics and mathematics education.

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Table of Contents

Formalized Metatheory with Terms Represented by an Indexed Family of Types.- A Content Based Mathematical Search Engine: Whelp.- A Machine-Checked Formalization of the Random Oracle Model.- Extracting a Normalization Algorithm in Isabelle/HOL.- A Structured Approach to Proving Compiler Optimizations Based on Dataflow Analysis.- Formalising Bitonic Sort in Type Theory.- A Semi-reflexive Tactic for (Sub-)Equational Reasoning.- A Uniform and Certified Approach for Two Static Analyses.- Solving Two Problems in General Topology Via Types.- A Tool for Automated Theorem Proving in Agda.- Surreal Numbers in Coq.- A Few Constructions on Constructors.- Tactic-Based Optimized Compilation of Functional Programs.- Interfaces as Games, Programs as Strategies.-—Z: Zermelo’s Set Theory as a PTS with 4 Sorts.- Exploring the Regular Tree Types.- On Constructive Existence.

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