Certificate for #4601 ⟨a, b | aabaaaba=baa⟩

Completion settings:

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

Axiom: aabaaaba=baa.

Referenced by [3].

Axiom: baa=c.

Defines rule #4.

Referenced by [3], [4], [5], [6], [7].

Simplify [1] aabaaaba=baa.

Reduce RHS:

Referenced by [4].

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

Critical pair: aacaba=c.

Defines rule #2.

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

Overlap of [2] baa=c with [4] aacaba=c:

Critical pair: bc=ccaba.

Defines rule #3.

Overlap of [2] baa=c with [4] aacaba=c:

Critical pair: bac=cacaba.

Defines rule #5.

Overlap of [4] aacaba=c with [2] baa=c:

Critical pair: aacac=ca.

Defines rule #1.