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."
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