Certificate for #2576 ⟨a, b | abaaab=bbab⟩

Completion settings:

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

Axiom: abaaab=bbab.

Referenced by [3].

Axiom: ab=c.

Defines rule #1.

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

Simplify [1] abaaab=bbab.

Reduce RHS:

Referenced by [4].

Overlap of [3] abaaab=bbc with [2] ab=c:

Critical pair: caaab=bbc.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [2] ab=c with [4] bbc=caac:

Critical pair: acaac=cbc.

Defines rule #3.

Referenced by [6].

Overlap of [5] acaac=cbc with [5] acaac=cbc:

Critical pair: acacbc=cbcaac.

Defines rule #4.