Certificate for #2373 ⟨a, b, c | aab=a, bbbc=1⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = deg(b) = 0, a < b; deg(c) = 1

Axiom: aab=a.

Defines rule #1.

Referenced by [3], [4], [5].

Axiom: bbbc=1.

Defines rule #5.

Referenced by [3].

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

Critical pair: aa=abbc.

Flip LHS and RHS.

Defines rule #4.

Referenced by [4].

Overlap of [1] aab=a with [3] abbc=aa:

Critical pair: aaa=abc.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Overlap of [1] aab=a with [4] abc=aaa:

Critical pair: aaaa=ac.

Flip LHS and RHS.

Defines rule #2.