Certificate for #13172 ⟨a, b | aba=aab, bba=ba⟩

Back:⟨a, b | aba=aab, bba=ba⟩

Completion settings:

[1] aba=aab

Axiom: aba=aab.

Defines rule #1.

Referenced by [3].

[2] bba=ba

Axiom: bba=ba.

Defines rule #2.

Referenced by [3].

[3] aaabb=aaab

Overlap of [1] aba=aab with [1] aba=aab:

ab a aba

Critical pair: abaab=aabba.

Reduce LHS:

[1](aba)ab
[1]⇒ a(aba)b
⇒ aaabb

Reduce RHS:

[2]aa(bba)
[1]⇒ a(aba)
⇒ aaab

Defines rule #3.