Certificate for #4862 ⟨a, b | abbaabba=aab⟩

Completion settings:

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

Axiom: abbaabba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Simplify [1] abbaabba=aab.

Reduce RHS:

Referenced by [4].

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

Critical pair: abbcba=c.

Defines rule #5.

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

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

Critical pair: ac=cbcba.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: abbcbc=cab.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: abbcbc=cbbcba.

Flip LHS and RHS.

Defines rule #3.