First Steps towards Categorical Algebraic Artificial Chemistry
Abstract
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.
Fields of Study & Subjects
DNA and Biological Computing
Cellular Automata and Applications
Logic
programming
and type systems
Publication details
- Journal / source
- Electronic Proceedings in Theoretical Computer Science
- Volume
- 442
- Pages
- 60–74
- Publication date
- 8 March 2026
- Language
- EN