An Introduction to String Diagrams for Computer Scientists

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Robin Piedeleu (University College London) Fabio Zanasi (University College London)

An Introduction to String Diagrams for Computer Scientists

Robin Piedeleu (University College London), Fabio Zanasi (University College London)

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English

Cambridge University Press
29 May 2025

Mathematical foundations

Series: Elements in Applied Category Theory

String diagrams are a powerful graphical language used to represent computational phenomena across diverse scientific fields, including computer science, physics, linguistics, amongst others. The appeal of string diagrams lies in their multi-faceted nature: they offer a simple, visual representation of complex scientific ideas, while also allowing rigorous mathematical treatment. Originating in category theory, string diagrams have since evolved into a versatile formalism, extending well beyond their abstract algebraic roots, and offering alternative entry points to their study. This text provides an accessible introduction to string diagrams from the perspective of computer science. Rather than starting from categorical concepts, the authors draw on intuitions from formal language theory, treating string diagrams as a syntax with its own semantics. They survey the basic theory, outline fundamental principles, and highlight modern applications of string diagrams in different fields. This title is also available as open access on Cambridge Core.

By: Robin Piedeleu (University College London), Fabio Zanasi (University College London)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm, Spine: 6mm
Weight: 207g
ISBN: 9781009625746
ISBN 10: 1009625748
Series: Elements in Applied Category Theory
Pages: 118
Publication Date: 29 May 2025
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

1. The Case for String Diagrams; 2. String Diagrams as Syntax; 3. String Diagrams as Graphs; 4. Categories of String Diagrams; 5. Semantics; 6. Other Trends in String Diagram Theory; 7. String Diagrams in Science: Some Applications; References.