Certificate for #6553 ⟨a, b | aaa=a, baab=ab⟩

Back:⟨a, b | aaa=a, baab=ab⟩

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #1.

Referenced by [3].

[2] baab=ab

Axiom: baab=ab.

Defines rule #3.

Referenced by [3].

[3] bab=aab

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

baa b baab

Critical pair: baaab=abaab.

Reduce LHS:

[1]b(aaa)b
⇒ bab

Reduce RHS:

[2]a(baab)
⇒ aab

Defines rule #2.