Certificate for #4445 ⟨a, b | aaaababa=bba⟩

Completion settings:

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

Axiom: aaaababa=bba.

Referenced by [3].

Axiom: bba=c.

Defines rule #1.

Referenced by [3], [5].

Simplify [1] aaaababa=bba.

Reduce RHS:

Defines rule #2.

Referenced by [4], [5].

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

Critical pair: aaaababc=caaababa.

Defines rule #4.

Overlap of [2] bba=c with [3] aaaababa=c:

Critical pair: bbc=caaababa.

Defines rule #3.