Certificate for #5326 ⟨a, b | abaabba=aabb⟩

Completion settings:

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

Axiom: abaabba=aabb.

Referenced by [3].

Axiom: aabb=c.

Defines rule #4.

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

Simplify [1] abaabba=aabb.

Reduce RHS:

Referenced by [4].

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

Critical pair: abca=c.

Defines rule #1.

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

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

Critical pair: abcc=cbca.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] abca=c with [2] aabb=c:

Critical pair: abcc=cabb.

Flip LHS and RHS.

Defines rule #5.

Referenced by [7].

Overlap of [4] abca=c with [6] cabb=abcc:

Critical pair: ababcc=cbb.

Flip LHS and RHS.

Defines rule #3.