Certificate for #4857 ⟨a, b | abbaaaab=baa⟩

Completion settings:

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

Axiom: abbaaaab=baa.

Referenced by [3].

Axiom: aa=c.

Defines rule #4.

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

Simplify [1] abbaaaab=baa.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbaaaab=bc with [2] aa=c:

Critical pair: abbcaab=bc.

Reduce LHS:

Defines rule #3.

Referenced by [6].

Overlap of [2] aa=c with [2] aa=c:

Critical pair: ac=ca.

Defines rule #1.

Overlap of [2] aa=c with [4] abbccb=bc:

Critical pair: abc=cbbccb.

Defines rule #2.