Certificate for #5126 ⟨a, b | aabaaab=baab⟩

Completion settings:

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

Axiom: aabaaab=baab.

Referenced by [3].

Axiom: baab=c.

Defines rule #5.

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

Simplify [1] aabaaab=baab.

Reduce RHS:

Defines rule #6.

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

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

Critical pair: baac=caab.

Defines rule #2.

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

Critical pair: aabac=caaab.

Defines rule #3.

Overlap of [3] aabaaab=c with [2] baab=c:

Critical pair: aabaaac=caab.

Defines rule #4.

Overlap of [2] baab=c with [3] aabaaab=c:

Critical pair: bc=caaab.

Defines rule #1.