Certificate for #13163 ⟨a, b | aba=aab, baa=ab⟩

Back:⟨a, b | aba=aab, baa=ab⟩

Completion settings:

[1] aab=aba

Axiom: aba=aab.

Flip LHS and RHS.

Referenced by [3].

[2] ab=baa

Axiom: baa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=baaa

Simplify [1] aab=aba.

Reduce RHS:

[2](ab)a
⇒ baaa

Referenced by [4].

[4] baaaa=baaa

Overlap of [3] aab=baaa with [2] ab=baa:

a ab ab

Critical pair: abaa=baaa.

Reduce LHS:

[2](ab)aa
⇒ baaaa

Defines rule #1.