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Polygraphs: From Rewriting to Higher Categories: 495 (London Mathematical Society Lecture Note Series, Series Number 495)

SKU: 9781009498982

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This volume explores polygraphs as a foundational tool for rewriting theory and their extensions to higher category theory. It presents cutting-edge research on the algebraic and categorical structures underlying modern mathematical logic.

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Description

Polygraphs: From Rewriting to Higher Categories is a comprehensive mathematical treatise that bridges classical rewriting theory with contemporary higher categorical structures. This volume, part of the prestigious London Mathematical Society Lecture Note Series, gathers contributions from leading experts in the field.

The book systematically develops polygraph theory, examining how these combinatorial objects generalize traditional rewriting systems and provide powerful frameworks for understanding algebraic structures. It explores applications across multiple mathematical domains, including homological algebra, formal language theory, and categorical logic.

Readers will discover how polygraphs facilitate the study of complex mathematical objects by decomposing them into manageable components. The work is essential for researchers in category theory, mathematical logic, computer science, and algebraic topology seeking to understand advanced theoretical foundations and computational methods in modern mathematics.

Additional information

Author

Dimitri Ara, Albert Burroni, Yves Guiraud, Philippe Malbos, François Métayer, Samuel Mimram & 3 More

Publisher

‏ : ‎ Cambridge University Press

ISBN

9781009498982

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