With a single-edge LHS, all rules are trivially causal invariant, but give tree causal networks...
With a single-edge LHS, all rules are trivially causal invariant, but give tree causal networks...
Except for single-edge-LHS rules, non-overlappingness is contingent on particular initial conditions
Except for single-edge-LHS rules, non-overlappingness is contingent on particular initial conditions
But there could be causal invariance without non-overlappinginess
And this could be independent of initial conditions
And this could be independent of initial conditions
To find: simplest causal invariant rules
To find: simplest causal invariant rules
String Case
String Case
Is non-overlappingness equivalent to causal invariance?
Is non-overlappingness equivalent to causal invariance?
"AA""AA"
is causal invariant, but is overlapping....
Causal invariance checking
Causal invariance checking
ResourceFunction["CausallyInvariantQ"][{"AB""BA"},{"AAAAABBBB"},5]
In[]:=
True
Out[]=
ResourceFunction["CausallyInvariantQ"][{"AB""BA"},{"AAAAABBBB"},2]
In[]:=
True
Out[]=
ResourceFunction["CausallyInvariantQ"][{"AA""AA"},{"AAAA"},2]
In[]:=
True
Out[]=
ResourceFunction["CausallyInvariantQ"][{"AA""AA"},{"AAAA"},2]
ResourceFunction["StringTuples"]
In[]:=
$Failed
Out[]=