Certificate for #2984 ⟨a, b, c | aab=c, bbc=a⟩

Completion settings:

[1] c=aab

Axiom: aab=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] bbaab=a

Axiom: bbc=a.

Reduce LHS:

[1]bb(c)
⇒ bbaab

Defines rule #2.

Referenced by [3].

[3] bbaaa=abaab

Overlap of [2] bbaab=a with [2] bbaab=a:

bbaa b bbaab

Critical pair: bbaaa=abaab.

Defines rule #1.