Certificate for #3830 ⟨a, b | abbbbaaaab=a⟩

Completion settings:

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

Axiom: abbbbaaaab=a.

Defines rule #5.

Referenced by [2], [3], [4], [5].

Overlap of [1] abbbbaaaab=a with [1] abbbbaaaab=a:

Critical pair: abbbbaaaa=abbbaaaab.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] abbbbaaaab=a with [2] abbbaaaab=abbbbaaaa:

Critical pair: abbbbaaaabbbbaaaa=abbaaaab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [2] abbbaaaab=abbbbaaaa with [2] abbbaaaab=abbbbaaaa:

Critical pair: abbbaaaabbbbaaaa=abbbbaaaabbaaaab.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [1] abbbbaaaab=a with [4] abaaaab=abbaaaa:

Critical pair: abbbbaaaabbaaaa=aaaaab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.