Certificate for #16017 ⟨a, b | aaa=ab, baab=aa⟩

Back:⟨a, b | aaa=ab, baab=aa⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3].

[2] baaaa=aa

Axiom: baab=aa.

Reduce LHS:

[1]ba(ab)
⇒ baaaa

Referenced by [3], [4], [5], [6].

[3] aaaaaaa=aaa

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

a b baaaa

Critical pair: aaa=aaaaaaa.

Flip LHS and RHS.

Referenced by [4].

[4] baaa=aaaaa

Overlap of [2] baaaa=aa with [3] aaaaaaa=aaa:

b aaaa aaaaaaa

Critical pair: baaa=aaaaa.

Referenced by [5].

[5] aaaaaa=aa

Overlap of [2] baaaa=aa with [4] baaa=aaaaa:

baaaa baaa

Critical pair: aaaaaa=aa.

Defines rule #1.

Referenced by [6].

[6] baa=aaaa

Overlap of [2] baaaa=aa with [5] aaaaaa=aa:

b aaaa aaaaaa

Critical pair: baa=aaaa.

Defines rule #2.