Certificate for #2154 ⟨a, b | aaabaaa=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: aaabaaa=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Simplify [1] aaabaaa=aab.

Reduce RHS:

Referenced by [4].

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

Critical pair: acaaa=c.

Defines rule #1.

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

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

Critical pair: acac=cb.

Flip LHS and RHS.

Defines rule #3.

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

Critical pair: acaac=cab.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: acaac=ccaaa.

Flip LHS and RHS.

Defines rule #2.