Certificate for #3780 ⟨a, b | ababbaabab=a⟩

Completion settings:

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

Axiom: ababbaabab=a.

Defines rule #4.

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

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

Critical pair: ababbaa=abaabab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

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

Critical pair: ababbaaba=aabbaabab.

Flip LHS and RHS.

Defines rule #3.

Overlap of [1] ababbaabab=a with [2] abaabab=ababbaa:

Critical pair: ababbaabababbaa=aaabab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.