Certificate for #4772 ⟨a, b | abaaabab=bab⟩

Completion settings:

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

Axiom: abaaabab=bab.

Referenced by [3].

Axiom: bab=c.

Defines rule #4.

Referenced by [3], [4], [5], [6].

Simplify [1] abaaabab=bab.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaaabab=c with [2] bab=c:

Critical pair: abaaac=c.

Defines rule #3.

Referenced by [6].

Overlap of [2] bab=c with [2] bab=c:

Critical pair: bac=cab.

Defines rule #2.

Overlap of [2] bab=c with [4] abaaac=c:

Critical pair: bc=caaac.

Defines rule #1.