Certificate for #2246 ⟨a, b | aababba=aab⟩

Completion settings:

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

Axiom: aababba=aab.

Referenced by [3].

Axiom: aaba=c.

Defines rule #4.

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

Overlap of [1] aababba=aab with [2] aaba=c:

Critical pair: cbba=aab.

Defines rule #2.

Referenced by [5].

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

Critical pair: aabc=caba.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] cbba=aab with [2] aaba=c:

Critical pair: cbbc=aababa.

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.