t},\ldots } where A 0 {\displaystyle A^{0}} is the initial state and Φ : S L → S L {\displaystyle \Phi :S^{\mathcal {L}}\rightarrow S^{\mathcal {L}}} is the global rule , representing the application of the local rule over every site x ∈ L {\displaystyle \mathbf {x} \in {\cal {L}}}