Certificate for #2916 ⟨a, b, c | aab=b, abc=a⟩

Back:⟨a, b, c | aab=b, abc=a⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Defines rule #3.

Referenced by [3].

[2] abc=a

Axiom: abc=a.

Referenced by [3], [4].

[3] bc=aa

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

a ab abc

Critical pair: aa=bc.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

[4] aaa=a

Overlap of [2] abc=a with [3] bc=aa:

a bc bc

Critical pair: aaa=a.

Defines rule #2.