Certificate for #3313 ⟨a, b | aaaaaaabaa=a⟩

Completion settings:

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

Axiom: aaaaaaabaa=a.

Referenced by [2], [3], [4], [5], [6].

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

Critical pair: aaaaaaaba=aaaaaabaa.

Flip LHS and RHS.

Referenced by [3], [4], [5], [6].

Overlap of [1] aaaaaaabaa=a with [2] aaaaaabaa=aaaaaaaba:

Critical pair: aaaaaaabaaaaaaaba=aaaaabaa.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [2] aaaaaabaa=aaaaaaaba with [2] aaaaaabaa=aaaaaaaba:

Critical pair: aaaaaabaaaaaaaba=aaaaaaabaaaaabaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [4] aaaabaa=aaaaaba with [4] aaaabaa=aaaaaba:

Critical pair: aaaabaaaaaaba=aaaaabaaaabaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [1] aaaaaaabaa=a with [2] aaaaaabaa=aaaaaaaba:

Critical pair: aaaaaaaaba=a.

Defines rule #2.