Certificate for #4834 ⟨a, b | ababbaab=abb⟩

Completion settings:

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

Axiom: ababbaab=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #3.

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

Simplify [1] ababbaab=abb.

Reduce RHS:

Referenced by [4].

Overlap of [3] ababbaab=c with [2] abb=c:

Critical pair: abcaab=c.

Defines rule #4.

Referenced by [5], [6].

Overlap of [4] abcaab=c with [2] abb=c:

Critical pair: abcac=cb.

Flip LHS and RHS.

Defines rule #1.

Overlap of [4] abcaab=c with [4] abcaab=c:

Critical pair: abcac=ccaab.

Flip LHS and RHS.

Defines rule #2.