Certificate for #3038 ⟨a, b, c | aba=b, bac=c⟩

Completion settings:

[1] aba=b

Axiom: aba=b.

Defines rule #2.

Referenced by [3], [4].

[2] bac=c

Axiom: bac=c.

Defines rule #3.

Referenced by [4].

[3] bba=abb

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

ab a aba

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #4.

[4] bc=ac

Overlap of [1] aba=b with [2] bac=c:

a ba bac

Critical pair: ac=bc.

Flip LHS and RHS.

Defines rule #1.