Certificate for #4582 ⟨a, b | aaabbbba=aab⟩

Completion settings:

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

Axiom: aaabbbba=aab.

Referenced by [3].

Axiom: aab=c.

Defines rule #3.

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

Simplify [1] aaabbbba=aab.

Reduce RHS:

Referenced by [4].

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

Critical pair: acbbba=c.

Defines rule #4.

Referenced by [5], [6].

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

Critical pair: acbbbc=cab.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: acbbbc=ccbbba.

Flip LHS and RHS.

Defines rule #2.