Category Theory and Computer Science : Paris, France, September 3-6, 1991. Proceedings

David H. Pitt

ISBN 10: 354054495X / ISBN 13: 9783540544951

Verlag: Springer Berlin Heidelberg, 1991

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - The papers in this volume were presented at the fourthbiennial Summer Conference on Category Theory and ComputerScience, held in Paris, September3-6, 1991. Category theorycontinues to be an important tool in foundationalstudies incomputer science. It has been widely applied by logicians toget concise interpretations of many logical concepts. Linksbetween logic and computer science have been developed nowfor over twenty years, notably via the Curry-Howardisomorphism which identifies programs with proofs and typeswith propositions. The triangle category theory - logic -programming presents a rich world of interconnections.Topics covered in this volume include the following. Typetheory: stratification of types and propositions can bediscussed in a categorical setting. Domain theory: syntheticdomain theory develops domain theory internally in theconstructive universe of the effective topos. Linear logic:the reconstruction of logic based on propositions asresources leads to alternatives to traditional syntaxes. Theproceedings of the previous three category theoryconferences appear as Lecture Notes in Computer ScienceVolumes 240, 283 and 389. Bestandsnummer des Verkäufers 9783540544951

Bibliografische Details

Titel: Category Theory and Computer Science : Paris...

Verlag: Springer Berlin Heidelberg

Erscheinungsdatum: 1991

Einband: Taschenbuch

Zustand: Neu

Über diesen Titel

Reseña del editor:

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.