Certificate for #5360 ⟨a, b | aab=aa, abb=bb⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aab=aa.

Defines rule #3.

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

Axiom: abb=bb.

Referenced by [3], [4].

Overlap of [1] aab=aa with [2] abb=bb:

Critical pair: abb=aab.

Reduce LHS:

Reduce RHS:

Defines rule #1.

Referenced by [4], [5].

Overlap of [2] abb=bb with [3] bb=aa:

Critical pair: abaa=bbb.

Reduce RHS:

Referenced by [6].

Overlap of [3] bb=aa with [3] bb=aa:

Critical pair: baa=aab.

Reduce RHS:

Defines rule #4.

Referenced by [6].

Simplify [4] abaa=aa.

Reduce LHS:

Defines rule #2.