Certificate for #4137 ⟨a, b | aba=aaa, bab=b

Completion settings:

[1] aba=aaa

Axiom: aba=aaa.

Defines rule #1.

Referenced by [3], [4], [5].

[2] bab=b

Axiom: bab=b.

Defines rule #2.

Referenced by [3], [4].

[3] aaab=ab

Overlap of [1] aba=aaa with [2] bab=b:

a ba bab

Critical pair: ab=aaab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

[4] baaa=ba

Overlap of [2] bab=b with [1] aba=aaa:

b ab aba

Critical pair: baaa=ba.

Defines rule #4.

[5] aaaaa=aaa

Overlap of [3] aaab=ab with [1] aba=aaa:

aa ab aba

Critical pair: aaaaa=aba.

Reduce RHS:

[1](aba)
aaa

Defines rule #5.