arXiv Open Access 2026

First Steps towards Categorical Algebraic Artificial Chemistry

Joe Pratt-Johns Toby St. Clere Smithe Chris Guiver Kevin Hughes Peter Andras

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Abstrak

We construct a functor that gives a dynamics to an algebraic model of interacting components. The construction generalises a computational model of Fontana and Buss in the field of artificial life known as AlChemy, in which molecules and their chemical interactions are emulated by lambda calculus terms and their application and subsequent reduction. We discuss future directions for the application of category theory to algebraic artificial chemistry as an organisational tool, with a focus on formalising the connection between the algebraic and the dynamical facets of such models.

Topik & Kata Kunci

cs.CE

Penulis (5)

Joe Pratt-Johns

Toby St. Clere Smithe

Chris Guiver

Kevin Hughes

Peter Andras

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APA MLA BibTeX

Pratt-Johns, J., Smithe, T.S.C., Guiver, C., Hughes, K., Andras, P. (2026). First Steps towards Categorical Algebraic Artificial Chemistry. https://arxiv.org/abs/2603.09431

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Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓