Certificate for #3361 ⟨a, b | aaaaabbbaa=a⟩

Completion settings:

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

Axiom: aaaaabbbaa=a.

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

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

Critical pair: aaaaabbba=aaaabbbaa.

Flip LHS and RHS.

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

Overlap of [1] aaaaabbbaa=a with [2] aaaabbbaa=aaaaabbba:

Critical pair: aaaaabbbaaaaabbba=aaabbbaa.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [2] aaaabbbaa=aaaaabbba with [2] aaaabbbaa=aaaaabbba:

Critical pair: aaaabbbaaaaabbba=aaaaabbbaaabbbaa.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [4] aabbbaa=aaabbba with [1] aaaaabbbaa=a:

Critical pair: aabbba=aaabbbaaaabbbaa.

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [1] aaaaabbbaa=a with [2] aaaabbbaa=aaaaabbba:

Critical pair: aaaaaabbba=a.

Defines rule #2.