Certificate for #6424 ⟨a, b | aab=b, babab=a⟩

Back:⟨a, b | aab=b, babab=a⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3], [4].

[2] babab=a

Axiom: babab=a.

Defines rule #4.

Referenced by [3], [4].

[3] aaa=a

Overlap of [1] aab=b with [2] babab=a:

aa b babab

Critical pair: aaa=babab.

Reduce RHS:

[2](babab)
⇒ a

Defines rule #1.

[4] baa=b

Overlap of [2] babab=a with [2] babab=a:

ba bab babab

Critical pair: baa=aab.

Reduce RHS:

[1](aab)
⇒ b

Defines rule #3.