Certificate for #3378 ⟨a, b, c | ac=ab, aba=b⟩

Back:⟨a, b, c | ac=ab, aba=b⟩

Completion settings:

[1] ac=ab

Axiom: ac=ab.

Defines rule #1.

Referenced by [3].

[2] aba=b

Axiom: aba=b.

Defines rule #3.

Referenced by [3], [4].

[3] bc=bb

Overlap of [2] aba=b with [1] ac=ab:

ab a ac

Critical pair: abab=bc.

Reduce LHS:

[2](aba)b
⇒ bb

Flip LHS and RHS.

Defines rule #2.

[4] bba=abb

Overlap of [2] aba=b with [2] aba=b:

ab a aba

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #4.