Certificate for #5414 ⟨a, b | abbbbba=baab⟩

Completion settings:

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

Axiom: abbbbba=baab.

Flip LHS and RHS.

Referenced by [2], [3].

Axiom: baab=c.

Reduce LHS:

Defines rule #4.

Referenced by [3], [5], [6], [7].

Simplify [1] baab=abbbbba.

Reduce RHS:

Defines rule #5.

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

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

Critical pair: baac=caab.

Flip LHS and RHS.

Defines rule #6.

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

Critical pair: bac=cbbbba.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: abbbbc=cab.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: abbbbbc=cbbbbba.

Flip LHS and RHS.

Defines rule #3.