Certificate for #2200 ⟨a, b | aaabbba=aab⟩

Completion settings:

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

Axiom: aaabbba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Simplify [1] aaabbba=aab.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaabbba=c with [2] aab=c:

Critical pair: acbba=c.

Defines rule #3.

Referenced by [5], [6].

Overlap of [4] acbba=c with [2] aab=c:

Critical pair: acbbc=cab.

Referenced by [6], [7].

Overlap of [4] acbba=c with [4] acbba=c:

Critical pair: acbbc=ccbba.

Reduce LHS:

Defines rule #1.

Referenced by [7].

Simplify [5] acbbc=cab.

Reduce RHS:

Defines rule #2.