Category Theory and Computer Science

The papers in this volume were presented at the fourth
biennial Summer         Conference on Category Theory and Computer
Science, held in Paris, September3-6, 1991. Category theory
continues to be an important tool in foundationalstudies in
computer science. It has been widely applied by logicians            to
get concise interpretations of many logical concepts. Links
between   logic and computer science have been developed now
for over twenty years,   notably via the Curry-Howard
isomorphism which identifies programs with      proofs and types
with propositions. The triangle category theory - logic      -
programming presents a rich world of interconnections.
Topics covered in this volume include the following. Type
theory: stratification of types   and propositions can be
discussed in a categorical setting. Domain theory:   synthetic
domain theory develops domain theory internally in                        the
constructive universe of the effective topos. Linear logic:
the      reconstruction of logic based on propositions as
resources leads to            alternatives to traditional syntaxes. The
proceedings of the previous three category theory
conferences appear as Lecture Notes in Computer                  Science
Volumes 240, 283 and 389.