Certificate for #4474 ⟨a, b, c | aba=1, cbbc=c⟩

Back:⟨a, b, c | aba=1, cbbc=c⟩

Completion settings:

[1] aba=1

Axiom: aba=1.

Referenced by [3], [4].

[2] cbbc=c

Axiom: cbbc=c.

Defines rule #3.

[3] ba=ab

Overlap of [1] aba=1 with [1] aba=1:

ab a aba

Critical pair: ab=ba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

[4] aab=1

Overlap of [1] aba=1 with [3] ba=ab:

a ba ba

Critical pair: aab=1.

Defines rule #2.