In[]:=
gxx=MultiwayRulesNestGraph[x_∘y_<->(y_∘x_)∘y_,(a∘b)∘a,7];
GraphDistanceMatrix[]
VertexList[gxx,]
Find cases that are small but far from root

Axiom Systems in the Wild

In[]:=
Union[Sort/@canonicalizePatterns/@(TwoWayRule@@@Tuples[(Flatten[Groupings[#,SmallCircle->2]&/@Table[Tuples[{a,b},n],{n,3}]]/.{a->a_,b->b_}),2])]
Out[]=
In[]:=
AccumulativeTokenEventGraph[#,1,"TokenLabeling"->False,GraphLayout->"SpringElectricalEmbedding"]&/@%192
Out[]=
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

ATP

Hanoi

Groups

Cosubstitution

all cats are black

Proof Topology

Lists of positions of disks, from largest to smallest

Causal Graphs

From spec

Metamathematical Phenomenology

​