Certificate for #2354 ⟨a, b, c | aab=a, abbc=1⟩

Back:⟨a, b, c | aab=a, abbc=1⟩

Completion settings:

[1] aab=a

Axiom: aab=a.

Defines rule #2.

Referenced by [3], [4].

[2] abbc=1

Axiom: abbc=1.

Defines rule #4.

Referenced by [3].

[3] abc=a

Overlap of [1] aab=a with [2] abbc=1:

a ab abbc

Critical pair: a=abc.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] ac=aa

Overlap of [1] aab=a with [3] abc=a:

a ab abc

Critical pair: aa=ac.

Flip LHS and RHS.

Defines rule #1.