Certificate for #3743 ⟨a, b | abaabbaaba=a⟩

Completion settings:

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

Axiom: abaabbaaba=a.

Referenced by [2], [3], [5], [6], [7].

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

Critical pair: abaabbaa=aabbaaba.

Defines rule #1.

Referenced by [3], [4], [7].

Overlap of [1] abaabbaaba=a with [2] abaabbaa=aabbaaba:

Critical pair: aabbaababa=a.

Referenced by [4], [7].

Overlap of [2] abaabbaa=aabbaaba with [3] aabbaababa=a:

Critical pair: abaabba=aabbaababbaababa.

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] abaabbaaba=a with [4] aabbaababbaababa=abaabba:

Critical pair: ababaabba=abbaababa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [1] abaabbaaba=a with [5] abbaababa=ababaabba:

Critical pair: abaababaabba=aba.

Referenced by [7].

Overlap of [1] abaabbaaba=a with [6] abaababaabba=aba:

Critical pair: abaabbaaba=aababaabba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.