Certificate for #4133 ⟨a, b | aababbaab=ba⟩

Completion settings:

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

Axiom: aababbaab=ba.

Referenced by [4], [6].

Axiom: baabab=c.

Defines rule #5.

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

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

Critical pair: baabac=caabab.

Defines rule #4.

Overlap of [2] baabab=c with [1] aababbaab=ba:

Critical pair: bba=cbaab.

Defines rule #3.

Referenced by [5], [6].

Overlap of [4] bba=cbaab with [2] baabab=c:

Critical pair: bc=cbaababab.

Reduce RHS:

Defines rule #1.

Overlap of [1] aababbaab=ba with [4] bba=cbaab:

Critical pair: aabacbaabab=ba.

Reduce LHS:

Defines rule #2.