Certificate for #500 ⟨a, b | aaaba=aab⟩

Completion settings:

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

Axiom: aaaba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Simplify [1] aaaba=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaaba=c with [2] aab=c:

Critical pair: aca=c.

Defines rule #1.

Referenced by [5], [6], [7].

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

Critical pair: acc=cca.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] aca=c with [2] aab=c:

Critical pair: acc=cab.

Flip LHS and RHS.

Defines rule #5.

Referenced by [7].

Overlap of [4] aca=c with [6] cab=acc:

Critical pair: aacc=cb.

Flip LHS and RHS.

Defines rule #3.