Certificate for #16029 ⟨a, b | aaa=ab, bbaa=aa⟩

Back:⟨a, b | aaa=ab, bbaa=aa⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[2] bbaa=aa

Axiom: bbaa=aa.

Defines rule #3.

Referenced by [3].

[3] aaaaaaa=aaa

Overlap of [1] ab=aaa with [2] bbaa=aa:

a b bbaa

Critical pair: aaa=aaabaa.

Reduce RHS:

[1]aa(ab)aa
⇒ aaaaaaa

Flip LHS and RHS.

Defines rule #1.