Certificate for #5614 ⟨a, b | aaabba=baaab⟩

Completion settings:

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

Axiom: aaabba=baaab.

Referenced by [3].

Axiom: baaab=c.

Defines rule #4.

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

Simplify [1] aaabba=baaab.

Reduce RHS:

Defines rule #5.

Referenced by [5], [6].

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

Critical pair: baaac=caaab.

Flip LHS and RHS.

Defines rule #3.

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

Critical pair: aaabc=caab.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: bc=cba.

Flip LHS and RHS.

Defines rule #1.