Certificate for #12955 ⟨a, b | aba=aab, babb=b⟩

Back:⟨a, b | aba=aab, babb=b⟩

Completion settings:

[1] aab=aba

Axiom: aba=aab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[2] babb=b

Axiom: babb=b.

Defines rule #2.

Referenced by [3].

[3] ababab=aba

Overlap of [1] aab=aba with [2] babb=b:

aa b babb

Critical pair: aab=abaabb.

Reduce LHS:

[1](aab)
⇒ aba

Reduce RHS:

[1]ab(aab)b
⇒ ababab

Flip LHS and RHS.

Defines rule #3.