Certificate for #5217 ⟨a, b | aabbaab=baba⟩

Completion settings:

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

Axiom: aabbaab=baba.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Overlap of [1] aabbaab=baba with [2] aab=c:

Critical pair: cbaab=baba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

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

Overlap of [2] aab=c with [3] baba=cbc:

Critical pair: aacbc=caba.

Defines rule #5.

Overlap of [3] baba=cbc with [2] aab=c:

Critical pair: babc=cbcab.

Defines rule #1.

Overlap of [3] baba=cbc with [3] baba=cbc:

Critical pair: bacbc=cbcba.

Defines rule #2.