Cellular automata such as Conway’s Game of Life have such laws.
This is a weird framing for CGoL. CGoL very much does have directional time: for any given state at time t, there’s only one valid state at t+1 but many valid options for t-1. Therefore you can simulate it forwards but not, in general, backwards.
Yeah that’s what I meant by the laws being deterministic. Which doesn’t imply causality (due to Pearl’s observation that the same Bayes net could correspond to multiple causal nets). Maybe I could have phrased it more clearly
This is a weird framing for CGoL. CGoL very much does have directional time: for any given state at time t, there’s only one valid state at t+1 but many valid options for t-1. Therefore you can simulate it forwards but not, in general, backwards.
Yeah that’s what I meant by the laws being deterministic. Which doesn’t imply causality (due to Pearl’s observation that the same Bayes net could correspond to multiple causal nets). Maybe I could have phrased it more clearly