Certificate for #12927 ⟨a, b | aba=aaa, baab=b⟩

Back:⟨a, b | aba=aaa, baab=b⟩

Completion settings:

[1] aba=aaa

Axiom: aba=aaa.

Defines rule #1.

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

[2] baab=b

Axiom: baab=b.

Defines rule #2.

Referenced by [3], [4].

[3] aaaab=ab

Overlap of [1] aba=aaa with [2] baab=b:

a ba baab

Critical pair: ab=aaaab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

[4] baaaa=ba

Overlap of [2] baab=b with [1] aba=aaa:

ba ab aba

Critical pair: baaaa=ba.

Defines rule #4.

[5] aaaaaa=aaa

Overlap of [3] aaaab=ab with [1] aba=aaa:

aaa ab aba

Critical pair: aaaaaa=aba.

Reduce RHS:

[1](aba)
⇒ aaa

Defines rule #5.