Certificate for #5320 ⟨a, b | abaabab=bbab⟩

Completion settings:

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

Axiom: abaabab=bbab.

Referenced by [3].

Axiom: bbab=c.

Defines rule #5.

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

Simplify [1] abaabab=bbab.

Reduce RHS:

Defines rule #6.

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

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

Critical pair: bbac=cbab.

Defines rule #2.

Overlap of [3] abaabab=c with [3] abaabab=c:

Critical pair: abaabc=caabab.

Defines rule #3.

Overlap of [3] abaabab=c with [2] bbab=c:

Critical pair: abaabac=cbab.

Defines rule #4.

Overlap of [2] bbab=c with [3] abaabab=c:

Critical pair: bbc=caabab.

Defines rule #1.