Certificate for #1737 ⟨a, b | aabbbbaab=a⟩

Completion settings:

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

Axiom: aabbbbaab=a.

Referenced by [2], [3], [4], [5].

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

Critical pair: aabbbba=abbbaab.

Defines rule #3.

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

Overlap of [1] aabbbbaab=a with [2] aabbbba=abbbaab:

Critical pair: abbbaabab=a.

Defines rule #5.

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

Overlap of [1] aabbbbaab=a with [3] abbbaabab=a:

Critical pair: aabbbbaa=abbaabab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [5], [6].

Overlap of [1] aabbbbaab=a with [4] abbaabab=abbbaaba:

Critical pair: aabbbbaabbbaaba=abaabab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] abbaabab=abbbaaba with [4] abbaabab=abbbaaba:

Critical pair: abbaababbbaaba=abbbaababaabab.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.