Certificate for #2314 ⟨a, b | abaabba=aab⟩

Completion settings:

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

Axiom: abaabba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Simplify [1] abaabba=aab.

Reduce RHS:

Referenced by [4].

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

Critical pair: abcba=c.

Defines rule #5.

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

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

Critical pair: ac=ccba.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: abcbc=cab.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: abcbc=cbcba.

Flip LHS and RHS.

Defines rule #3.