Certificate for #3016 ⟨a, b, c | aba=a, bac=a⟩

Completion settings:

[1] aba=a

Axiom: aba=a.

Defines rule #2.

Referenced by [3].

[2] bac=a

Axiom: bac=a.

Referenced by [3], [4].

[3] ac=aa

Overlap of [1] aba=a with [2] bac=a:

a ba bac

Critical pair: aa=ac.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

[4] baa=a

Overlap of [2] bac=a with [3] ac=aa:

b ac ac

Critical pair: baa=a.

Defines rule #3.