Certificate for #1034 ⟨a, b | aaabaa=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: aaabaa=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Simplify [1] aaabaa=aab.

Reduce RHS:

Referenced by [4].

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

Critical pair: acaa=c.

Defines rule #1.

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

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

Critical pair: acc=cb.

Flip LHS and RHS.

Defines rule #3.

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

Critical pair: acac=cab.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: acac=ccaa.

Flip LHS and RHS.

Defines rule #2.