Certificate for #12699 ⟨a, b | aba=aab, aabbb=1⟩

Back:⟨a, b | aba=aab, aabbb=1⟩

Completion settings:

[1] aab=aba

Axiom: aba=aab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [2], [3].

[2] ababb=1

Axiom: aabbb=1.

Reduce LHS:

[1](aab)bb
⇒ ababb

Defines rule #2.

Referenced by [3].

[3] ababab=a

Overlap of [1] aab=aba with [2] ababb=1:

a ab ababb

Critical pair: a=abaabb.

Reduce RHS:

[1]ab(aab)b
⇒ ababab

Flip LHS and RHS.

Defines rule #3.