Isomorphisms of Types

from λ-calculus to information retrieval and language design

  • Roberto Di Cosmo

Part of the Progress in Theoretical Computer Science book series (PTCS)

Table of contents

  1. Front Matter
    Pages i-10
  2. Roberto Di Cosmo
    Pages 11-55
  3. Roberto Di Cosmo
    Pages 57-84
  4. Roberto Di Cosmo
    Pages 101-117
  5. Roberto Di Cosmo
    Pages 119-163
  6. Roberto Di Cosmo
    Pages 165-204
  7. Roberto Di Cosmo
    Pages 205-214
  8. Back Matter
    Pages 215-235

About this book


This is a book about isomorphisms 0/ types, arecent difficult research topic in type theory that turned out to be able to have valuable practical applications both for programming language design and far more human­ centered information retrieval in software libraries. By means of a deep study of the syntax of the now widely known typed A-ca1culus, it is possible to identify some simple equations between types that on one hand allow to improve the design of the ML language, and on the other hand provide the basis for building radically new information retrieval systems for functional software libraries. We present in this book both the theoretical aspects of these researches and a fully functional implementation of some of their applications in such a way to provide interesting material both for the theoretician looking for proofs and for the practitioner interested in implementation details. In order to make it possible for these different types of readers to use this book effectively, some special signs are used to designate material that is particularly technical or applied or that represents a digression. When the symbol appears at the beginning of a section or a subsection, it warns that the material contained in such section is particularly technical with respect to the general level of the chapter or section where it is located. This material is generally reserved to theoreticians and does not need to be read by the casual reader.


Mathematica Permutation calculus logic mathematical logic optimization programming programming language

Authors and affiliations

  • Roberto Di Cosmo
    • 1
  1. 1.Ecole Normale SupérieureLIENS-DMIParis Cedex 05France

Bibliographic information

Industry Sectors
Finance, Business & Banking
IT & Software
Consumer Packaged Goods
Energy, Utilities & Environment
Oil, Gas & Geosciences