Certificate for #4051 ⟨a, b | aaabbbbaa=ba⟩

Completion settings:

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

Axiom: aaabbbbaa=ba.

Referenced by [3].

Axiom: bbbba=c.

Referenced by [3], [4].

Overlap of [1] aaabbbbaa=ba with [2] bbbba=c:

Critical pair: aaaca=ba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

Overlap of [2] bbbba=c with [3] ba=aaaca:

Critical pair: bbbaaaca=c.

Reduce LHS:

Defines rule #2.

Referenced by [5], [6].

Overlap of [3] ba=aaaca with [4] aaacaaacaaacaaaca=c:

Critical pair: bc=aaacaaacaaacaaacaaaca.

Reduce RHS:

Defines rule #4.

Overlap of [4] aaacaaacaaacaaaca=c with [4] aaacaaacaaacaaaca=c:

Critical pair: aaacc=caaca.

Defines rule #1.