Certificate for #4764 ⟨a, b | abaaaaba=abb⟩

Completion settings:

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

Axiom: abaaaaba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #2.

Referenced by [3], [6].

Simplify [1] abaaaaba=abb.

Reduce RHS:

Defines rule #3.

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

Overlap of [3] abaaaaba=c with [3] abaaaaba=c:

Critical pair: abaaac=caaaba.

Flip LHS and RHS.

Defines rule #1.

Overlap of [3] abaaaaba=c with [3] abaaaaba=c:

Critical pair: abaaaabc=cbaaaaba.

Flip LHS and RHS.

Defines rule #5.

Overlap of [3] abaaaaba=c with [2] abb=c:

Critical pair: abaaaabc=cbb.

Flip LHS and RHS.

Defines rule #4.