Types for Proofs and Programs: International Workshop, Types'99, Lökeberg, Sweden, June 12-16, 1999, Selected Papers

ISBN-13: 9783540415176 / Angielski / Miękka / 2000 / 202 str.

Thierry Coquand; Peter Dybjer; Bengt Nordstrvm

Opis

This work constitutes the thoroughly refereed post-workshop proceedings of the Third International Workshop, TYPES'99, organized by the ESPRIT Working Group 21900, in Lokeberg, Sweden, in June 1999. The eleven revised full papers presented in the volume were carefully reviewed and selected during two rounds of refereeing. All current issues on type theory and type systems and their applications to programming and proof theory are addressed.

Spis treści

Specification and Verification of a Formal System for Structurally Recursive Functions.- A Predicative Strong Normalisation Proof for a ?Calculus with Interleaving Inductive Types.- Polymorphic Intersection Type Assignment for Rewrite Systems with Abstraction and ?-Rule.- Computer-Assisted Mathematics at Work.- Specification of a Smart Card Operating System.- Implementation Techniques for Inductive Types in Plastic.- A Co-inductive Approach to Real Numbers.- Information Retrieval in a Coq Proof Library Using Type Isomorphisms.- Memory Management: An Abstract Formulation of Incremental Tracing.- The Three Gap Theorem (Steinhaus Conjecture).- Formalising Formulas-as-Types-as-Objects.