Certificate for #5079 ⟨a, b | aaabbaa=baba⟩

Completion settings:

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

Axiom: aaabbaa=baba.

Referenced by [3].

Axiom: ba=c.

Defines rule #1.

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

Simplify [1] aaabbaa=baba.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabbaa=cc with [2] ba=c:

Critical pair: aaabca=cc.

Defines rule #2.

Referenced by [5], [6].

Overlap of [2] ba=c with [4] aaabca=cc:

Critical pair: bcc=caabca.

Defines rule #3.

Referenced by [6].

Overlap of [4] aaabca=cc with [4] aaabca=cc:

Critical pair: aaabccc=ccaabca.

Reduce LHS:

Defines rule #4.