Certificate for #5831 ⟨a, b | abaaab=babba⟩

Completion settings:

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

Axiom: abaaab=babba.

Referenced by [3].

Axiom: abaa=c.

Defines rule #4.

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

Overlap of [1] abaaab=babba with [2] abaa=c:

Critical pair: cab=babba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [5], [6].

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

Critical pair: abac=cbaa.

Flip LHS and RHS.

Defines rule #2.

Overlap of [3] babba=cab with [2] abaa=c:

Critical pair: babbc=cabbaa.

Flip LHS and RHS.

Defines rule #5.

Overlap of [3] babba=cab with [3] babba=cab:

Critical pair: babcab=cabbba.

Flip LHS and RHS.

Defines rule #3.