Certificate for #1650 ⟨a, b | aab=bb, baa=a⟩

Back:⟨a, b | aab=bb, baa=a⟩

Completion settings:

[1] bb=aab

Axiom: aab=bb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[2] baa=a

Axiom: baa=a.

Referenced by [3], [4].

[3] ba=aaa

Overlap of [1] bb=aab with [2] baa=a:

b b baa

Critical pair: ba=aabaa.

Reduce RHS:

[2]aa(baa)
⇒ aaa

Defines rule #2.

Referenced by [4].

[4] aaaa=a

Overlap of [2] baa=a with [3] ba=aaa:

baa ba

Critical pair: aaaa=a.

Defines rule #1.