Title
Distributive-law semantics for cellular automata and agent-based models
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.
Year
DOI
Venue
2011
10.1007/978-3-642-22944-2_24
CALCO
Keywords
Field
DocType
distributive law,structural operational semantics,temporal behavior,local interaction,generic formalization,local behavior,generic distributive law,agent-based model,cellular automaton,abstract basis,array-based formalization,distributive-law semantics,formal semantics
Distributive property,Discrete mathematics,Cellular automaton,Operational semantics,Functional programming,Computer science,Automaton,Scientific modelling,Equivalence (measure theory),Semantics
Conference
Citations 
PageRank 
References 
3
0.49
4
Authors
2
Name
Order
Citations
PageRank
Baltasar Trancón y Widemann1339.61
Michael Hauhs263.70