Certificate for #3687 ⟨a, b | aabbbbbaab=a⟩

Completion settings:

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

Axiom: aabbbbbaab=a.

Referenced by [2], [3], [4], [5], [7].

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

Critical pair: aabbbbba=abbbbaab.

Defines rule #4.

Referenced by [3], [4], [5], [7].

Overlap of [1] aabbbbbaab=a with [2] aabbbbba=abbbbaab:

Critical pair: abbbbaabab=a.

Defines rule #6.

Referenced by [4], [5], [6], [7].

Overlap of [1] aabbbbbaab=a with [3] abbbbaabab=a:

Critical pair: aabbbbbaa=abbbaabab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #5.

Referenced by [5], [6].

Overlap of [1] aabbbbbaab=a with [4] abbbaabab=abbbbaaba:

Critical pair: aabbbbbaabbbbaaba=abbaabab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [4] abbbaabab=abbbbaaba with [4] abbbaabab=abbbbaaba:

Critical pair: abbbaababbbbaaba=abbbbaababbaabab.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

Overlap of [1] aabbbbbaab=a with [6] abaabab=abbaaba:

Critical pair: aabbbbbaabbaaba=aaabab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.