Certificate for #3033 ⟨a, b, c | aba=b, acb=b⟩

Back:⟨a, b, c | aba=b, acb=b⟩

Completion settings:

[1] aba=b

Axiom: aba=b.

Defines rule #3.

Referenced by [3], [4].

[2] acb=b

Axiom: acb=b.

Defines rule #4.

Referenced by [4].

[3] abb=bba

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

ab a aba

Critical pair: abb=bba.

Defines rule #2.

Referenced by [4].

[4] bcb=bba

Overlap of [1] aba=b with [2] acb=b:

ab a acb

Critical pair: abb=bcb.

Reduce LHS:

[3](abb)
⇒ bba

Flip LHS and RHS.

Defines rule #1.