@inproceedings{933e8e098a8441e19a610845f34a68eb,
title = "Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)",
abstract = "Tracelets are the intrinsic carriers of causal information in categorical rewriting systems. In this work, we assemble tracelets into a symmetric monoidal decomposition space, inducing a cocommutative Hopf algebra of tracelets. This Hopf algebra captures important combinatorial and algebraic aspects of rewriting theory, and is motivated by applications of its representation theory to stochastic rewriting systems such as chemical reaction networks.",
author = "Nicolas Behr and Joachim Kock",
year = "2022",
doi = "10.4204/EPTCS.372.23",
language = "English",
series = "Electronic Proceedings in Theoretical Computer Science",
publisher = "arXiv preprint",
pages = "323--337",
editor = "Kishida, {Kohei }",
booktitle = "Proceedings of the Fourth International Conference on Applied Category Theory",
note = "4th International Conference on Applied Category Theory, ACT2021 ; Conference date: 12-07-2021 Through 16-07-2021",
}