Abstract
We present an effort to give formal semantics to the popular but theoretically rather unreflected scientific modelling paradigm of agent- or individual-based models. To this end, we give a generic formalization of two-dimensional cellular automata with flexible topology as the abstract basis of such models. The semantic approach of structural operational semantics a la Turi and Plotkin [7], based on bialgebras and distributive laws, leads in this case to a natural separation of the concerns of spatial structure, temporal behavior and local interaction. We give a generic distributive law for local behavior of automata and prove the equivalence to a more traditional, array-based formalization.
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Appendix containing omitted proofs and advanced examples. (276KB)
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Trancón y Widemann, B., Hauhs, M. (2011). Distributive-Law Semantics for Cellular Automata and Agent-Based Models. In: Corradini, A., Klin, B., Cîrstea, C. (eds) Algebra and Coalgebra in Computer Science. CALCO 2011. Lecture Notes in Computer Science, vol 6859. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22944-2_24
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DOI: https://doi.org/10.1007/978-3-642-22944-2_24
Publisher Name: Springer, Berlin, Heidelberg
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