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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.

Categories (Mathematics) --- Computer science --- Congresses. --- -Computer science --- -681.3*D21 --- 681.3*D31 --- 681.3*D33 --- 681.3*F3 --- 681.3*F41 --- Informatics --- Science --- Congresses --- Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- Formal definitions and theory: semantics; syntax (Programming languages)--See also {681.3*D21}; {681.3*F31}; {681.3*F32}; {681.3*F42}; {681.3*F43} --- Languages constructs: abstract data types; concurrent programming structures;control structures; coroutines (Programming languages) --- Logics and meanings of programs (Theory of computation) --- Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- 681.3*F41 Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- 681.3*F3 Logics and meanings of programs (Theory of computation) --- 681.3*D33 Languages constructs: abstract data types; concurrent programming structures;control structures; coroutines (Programming languages) --- 681.3*D31 Formal definitions and theory: semantics; syntax (Programming languages)--See also {681.3*D21}; {681.3*F31}; {681.3*F32}; {681.3*F42}; {681.3*F43} --- 681.3*D21 Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- 681.3*D21 --- Mathematics. --- Information theory. --- Logic design. --- Computer science. --- Software engineering. --- Mathematics, general. --- Theory of Computation. --- Logics and Meanings of Programs. --- Mathematical Logic and Formal Languages. --- Programming Languages, Compilers, Interpreters. --- Software Engineering. --- Computer software engineering --- Engineering --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Communication theory --- Communication --- Cybernetics --- Math