Certificate for #2918 ⟨a, b, c | aab=b, abc=c⟩

Back:⟨a, b, c | aab=b, abc=c⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #2.

Referenced by [3].

[2] abc=c

Axiom: abc=c.

Referenced by [3], [4].

[3] bc=ac

Overlap of [1] aab=b with [2] abc=c:

a ab abc

Critical pair: ac=bc.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

[4] aac=c

Overlap of [2] abc=c with [3] bc=ac:

a bc bc

Critical pair: aac=c.

Defines rule #3.