Certificate for #4534 ⟨a, b, c | abc=1, acab=b⟩

Back:⟨a, b, c | abc=1, acab=b⟩

Completion settings:

[1] abc=1

Axiom: abc=1.

Referenced by [3], [4].

[2] acab=b

Axiom: acab=b.

Defines rule #3.

Referenced by [3].

[3] bc=ac

Overlap of [2] acab=b with [1] abc=1:

ac ab abc

Critical pair: ac=bc.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

[4] aac=1

Overlap of [1] abc=1 with [3] bc=ac:

a bc bc

Critical pair: aac=1.

Defines rule #2.