Certificate for #4495 ⟨a, b | aaabaaba=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: aaabaaba=baa.

Referenced by [3].

Axiom: baa=c.

Defines rule #4.

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

Simplify [1] aaabaaba=baa.

Reduce RHS:

Referenced by [4].

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

Critical pair: aaacba=c.

Defines rule #2.

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

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

Critical pair: bc=cacba.

Defines rule #3.

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

Critical pair: bac=caacba.

Defines rule #5.

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

Critical pair: aaacc=ca.

Defines rule #1.