Certificate for #13132 ⟨a, b | aab=aaa, bab=aa⟩

Back:⟨a, b | aab=aaa, bab=aa⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3], [4].

[2] bab=aa

Axiom: bab=aa.

Defines rule #2.

Referenced by [3], [4].

[3] baaa=aaaa

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

ba b bab

Critical pair: baaa=aaab.

Reduce RHS:

[1]a(aab)
⇒ aaaa

Defines rule #3.

[4] aaaaa=aaaa

Overlap of [1] aab=aaa with [2] bab=aa:

aa b bab

Critical pair: aaaa=aaaab.

Reduce RHS:

[1]aa(aab)
⇒ aaaaa

Flip LHS and RHS.

Defines rule #4.