Certificate for #598 ⟨a, b | aab=b, bba=a⟩

Back:⟨a, b | aab=b, bba=a⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3], [4].

[2] bba=a

Axiom: bba=a.

Defines rule #3.

Referenced by [3], [4].

[3] aaa=a

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

aa b bba

Critical pair: aaa=bba.

Reduce RHS:

[2](bba)
⇒ a

Defines rule #1.

[4] bbb=b

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

bb a aab

Critical pair: bbb=aab.

Reduce RHS:

[1](aab)
⇒ b

Defines rule #4.