Certificate for #14533 ⟨a, b | aaab=b, bbbba=a⟩

Back:⟨a, b | aaab=b, bbbba=a⟩

Completion settings:

[1] aaab=b

Axiom: aaab=b.

Defines rule #2.

Referenced by [3], [4].

[2] bbbba=a

Axiom: bbbba=a.

Defines rule #3.

Referenced by [3], [4].

[3] aaaa=a

Overlap of [1] aaab=b with [2] bbbba=a:

aaa b bbbba

Critical pair: aaaa=bbbba.

Reduce RHS:

[2](bbbba)
⇒ a

Defines rule #1.

[4] bbbbb=b

Overlap of [2] bbbba=a with [1] aaab=b:

bbbb a aaab

Critical pair: bbbbb=aaab.

Reduce RHS:

[1](aaab)
⇒ b

Defines rule #4.