Certificate for #5739 ⟨a, b | aabbaa=baaab⟩

Completion settings:

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

Axiom: aabbaa=baaab.

Referenced by [3].

Axiom: baaab=c.

Defines rule #1.

Referenced by [3], [4], [6], [7].

Simplify [1] aabbaa=baaab.

Reduce RHS:

Defines rule #2.

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

Overlap of [2] baaab=c with [2] baaab=c:

Critical pair: baaac=caaab.

Flip LHS and RHS.

Defines rule #5.

Overlap of [3] aabbaa=c with [3] aabbaa=c:

Critical pair: aabbc=cbbaa.

Flip LHS and RHS.

Defines rule #6.

Overlap of [3] aabbaa=c with [2] baaab=c:

Critical pair: aabc=cab.

Flip LHS and RHS.

Defines rule #4.

Overlap of [2] baaab=c with [3] aabbaa=c:

Critical pair: bac=cbaa.

Flip LHS and RHS.

Defines rule #3.