Certificate for #1689 ⟨a, b | aababaaba=a⟩

Completion settings:

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

Axiom: aababaaba=a.

Referenced by [2], [3].

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

Critical pair: aababa=abaaba.

Flip LHS and RHS.

Referenced by [3], [4].

Overlap of [2] abaaba=aababa with [2] abaaba=aababa:

Critical pair: abaaababa=aababaaba.

Reduce RHS:

Referenced by [4], [5].

Overlap of [2] abaaba=aababa with [3] abaaababa=a:

Critical pair: abaa=aababaaababa.

Reduce RHS:

Defines rule #1.

Referenced by [5].

Overlap of [3] abaaababa=a with [4] abaa=aaba:

Critical pair: aabaababa=a.

Reduce LHS:

Defines rule #2.