Certificate for #5366 ⟨a, b | aab=aa, bab=ab⟩

Back:⟨a, b | aab=aa, bab=ab⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3].

[2] bab=ab

Axiom: bab=ab.

Defines rule #3.

Referenced by [3].

[3] baa=aa

Overlap of [2] bab=ab with [2] bab=ab:

ba b bab

Critical pair: baab=abab.

Reduce LHS:

[1]b(aab)
⇒ baa

Reduce RHS:

[2]a(bab)
[1]⇒ (aab)
⇒ aa

Defines rule #2.