Certificate for #4697 ⟨a, b | aaab=b, bbba=a⟩

Back:⟨a, b | aaab=b, bbba=a⟩

Completion settings:

[1] aaab=b

Axiom: aaab=b.

Defines rule #2.

Referenced by [3], [4].

[2] bbba=a

Axiom: bbba=a.

Defines rule #3.

Referenced by [3], [4].

[3] aaaa=a

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

aaa b bbba

Critical pair: aaaa=bbba.

Reduce RHS:

[2](bbba)
⇒ a

Defines rule #1.

[4] bbbb=b

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

bbb a aaab

Critical pair: bbbb=aaab.

Reduce RHS:

[1](aaab)
⇒ b

Defines rule #4.