Certificate for #4603 ⟨a, b | aabaaaba=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: aabaaaba=bba.

Referenced by [3].

Axiom: bba=c.

Defines rule #2.

Referenced by [3], [6].

Simplify [1] aabaaaba=bba.

Reduce RHS:

Defines rule #3.

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

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

Critical pair: aabac=caaba.

Defines rule #1.

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

Critical pair: aabaaabc=cabaaaba.

Defines rule #5.

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

Critical pair: bbc=cabaaaba.

Defines rule #4.