Certificate for #3652 ⟨a, b | aabbabbaab=a⟩

Completion settings:

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

Axiom: aabbabbaab=a.

Referenced by [2], [3], [4], [6].

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

Critical pair: aabbabba=ababbaab.

Defines rule #3.

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

Overlap of [1] aabbabbaab=a with [2] aabbabba=ababbaab:

Critical pair: ababbaabab=a.

Defines rule #5.

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

Overlap of [1] aabbabbaab=a with [3] ababbaabab=a:

Critical pair: aabbabbaa=aabbaabab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Overlap of [3] ababbaabab=a with [3] ababbaabab=a:

Critical pair: ababbaa=abaabab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [1] aabbabbaab=a with [5] abaabab=ababbaa:

Critical pair: aabbabbaababbaa=aaabab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.