Certificate for #4989 ⟨a, b | aaaabba=baba⟩

Completion settings:

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

Axiom: aaaabba=baba.

Referenced by [3].

Axiom: baba=c.

Defines rule #3.

Referenced by [3], [4], [6], [7].

Simplify [1] aaaabba=baba.

Reduce RHS:

Defines rule #4.

Referenced by [5], [6], [7].

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

Critical pair: bac=cba.

Defines rule #1.

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

Critical pair: aaaabbc=caaabba.

Defines rule #6.

Overlap of [3] aaaabba=c with [2] baba=c:

Critical pair: aaaabc=cba.

Defines rule #2.

Overlap of [2] baba=c with [3] aaaabba=c:

Critical pair: babc=caaabba.

Defines rule #5.