Certificate for #5411 ⟨a, b | abbbbba=abab⟩

Completion settings:

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

Axiom: abbbbba=abab.

Referenced by [3].

Axiom: abab=c.

Defines rule #5.

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

Simplify [1] abbbbba=abab.

Reduce RHS:

Defines rule #6.

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

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

Critical pair: abc=cab.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: abbbbbc=cbbbbba.

Flip LHS and RHS.

Defines rule #4.

Overlap of [3] abbbbba=c with [2] abab=c:

Critical pair: abbbbbc=cbab.

Flip LHS and RHS.

Defines rule #2.

Overlap of [2] abab=c with [3] abbbbba=c:

Critical pair: abc=cbbbba.

Flip LHS and RHS.

Defines rule #3.