Certificate for #12159 ⟨a, b | aaaa=aa, abbb=b⟩

Completion settings:

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

Axiom: aaaa=aa.

Defines rule #3.

Referenced by [3], [6].

Axiom: abbb=b.

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

Overlap of [1] aaaa=aa with [2] abbb=b:

Critical pair: aaab=aabbb.

Reduce RHS:

Referenced by [4], [6].

Overlap of [3] aaab=ab with [2] abbb=b:

Critical pair: aab=abbb.

Reduce RHS:

Referenced by [5], [6].

Overlap of [4] aab=b with [2] abbb=b:

Critical pair: ab=bbb.

Defines rule #2.

Referenced by [6].

Overlap of [1] aaaa=aa with [5] ab=bbb:

Critical pair: aaabbb=aab.

Reduce LHS:

Reduce RHS:

Defines rule #1.