Certificate for #2881 ⟨a, b | aa=a, abbba=b⟩

Completion settings:

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

Axiom: aa=a.

Defines rule #1.

Referenced by [3], [4].

Axiom: abbba=b.

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

Overlap of [1] aa=a with [2] abbba=b:

Critical pair: ab=abbba.

Reduce RHS:

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] abbba=b with [1] aa=a:

Critical pair: abbba=ba.

Reduce LHS:

Referenced by [5], [6].

Overlap of [2] abbba=b with [3] ab=b:

Critical pair: bbba=b.

Reduce LHS:

Defines rule #3.

Referenced by [6].

Simplify [4] bbba=ba.

Reduce LHS:

Reduce RHS:

Defines rule #4.