Certificate for #1555 ⟨a, b | aaaaaabaa=a⟩

Completion settings:

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

Axiom: aaaaaabaa=a.

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

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

Critical pair: aaaaaaba=aaaaabaa.

Flip LHS and RHS.

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

Overlap of [1] aaaaaabaa=a with [2] aaaaabaa=aaaaaaba:

Critical pair: aaaaaabaaaaaaba=aaaabaa.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [2] aaaaabaa=aaaaaaba with [2] aaaaabaa=aaaaaaba:

Critical pair: aaaaabaaaaaaba=aaaaaabaaaabaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [4] aaabaa=aaaaba with [2] aaaaabaa=aaaaaaba:

Critical pair: aaabaaaaaaba=aaaabaaaabaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [1] aaaaaabaa=a with [2] aaaaabaa=aaaaaaba:

Critical pair: aaaaaaaba=a.

Defines rule #2.