Certificate for #24863 ⟨a, b | ab=a, aaaaaa=bb⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = 0; deg(b) = 1

Axiom: ab=a.

Defines rule #3.

Referenced by [3], [4].

Axiom: aaaaaa=bb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] ab=a with [2] bb=aaaaaa:

Critical pair: aaaaaaa=ab.

Reduce RHS:

Defines rule #1.

Referenced by [5].

Overlap of [2] bb=aaaaaa with [2] bb=aaaaaa:

Critical pair: baaaaaa=aaaaaab.

Reduce RHS:

Referenced by [5].

Overlap of [4] baaaaaa=aaaaaa with [3] aaaaaaa=a:

Critical pair: ba=aaaaaaa.

Reduce RHS:

Defines rule #2.