Certificate for #16307 ⟨a, b | aab=bb, baaa=ba⟩

Back:⟨a, b | aab=bb, baaa=ba⟩

Completion settings:

[1] aab=bb

Axiom: aab=bb.

Defines rule #1.

Referenced by [3], [4].

[2] baaa=ba

Axiom: baaa=ba.

Defines rule #2.

Referenced by [3], [4].

[3] babb=bab

Overlap of [2] baaa=ba with [1] aab=bb:

ba aa aab

Critical pair: babb=bab.

Defines rule #3.

[4] bbbb=bbb

Overlap of [2] baaa=ba with [1] aab=bb:

baa a aab

Critical pair: baabb=baab.

Reduce LHS:

[1]b(aab)b
⇒ bbbb

Reduce RHS:

[1]b(aab)
⇒ bbb

Defines rule #4.