Certificate for #19084 ⟨a, b | aab=b, bbbbba=a⟩

Back:⟨a, b | aab=b, bbbbba=a⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3], [4].

[2] bbbbba=a

Axiom: bbbbba=a.

Defines rule #3.

Referenced by [3], [4].

[3] aaa=a

Overlap of [1] aab=b with [2] bbbbba=a:

aa b bbbbba

Critical pair: aaa=bbbbba.

Reduce RHS:

[2](bbbbba)
⇒ a

Defines rule #1.

[4] bbbbbb=b

Overlap of [2] bbbbba=a with [1] aab=b:

bbbbb a aab

Critical pair: bbbbbb=aab.

Reduce RHS:

[1](aab)
⇒ b

Defines rule #4.