Certificate for #14350 ⟨a, b | aaaa=a, ababb=b⟩

Completion settings:

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

Axiom: aaaa=a.

Defines rule #1.

Referenced by [3].

Axiom: ababb=b.

Referenced by [3], [4], [5], [6].

Overlap of [1] aaaa=a with [2] ababb=b:

Critical pair: aaab=ababb.

Reduce RHS:

Defines rule #2.

Referenced by [4], [7].

Overlap of [3] aaab=b with [2] ababb=b:

Critical pair: aab=babb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5], [6], [7].

Overlap of [2] ababb=b with [4] babb=aab:

Critical pair: ababaab=babb.

Reduce RHS:

Referenced by [7].

Overlap of [4] babb=aab with [4] babb=aab:

Critical pair: babaab=aababb.

Reduce RHS:

Defines rule #5.

Referenced by [7].

Overlap of [4] babb=aab with [6] babaab=ab:

Critical pair: babab=aababaab.

Reduce RHS:

Defines rule #4.