Certificate for #1643 ⟨a, b | aaabbabaa=a⟩

Completion settings:

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

Axiom: aaabbabaa=a.

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

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

Critical pair: aaabbaba=aabbabaa.

Flip LHS and RHS.

Referenced by [3], [4].

Overlap of [1] aaabbabaa=a with [2] aabbabaa=aaabbaba:

Critical pair: aaabbabaaabbaba=abbabaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [1] aaabbabaa=a with [2] aabbabaa=aaabbaba:

Critical pair: aaaabbaba=a.

Defines rule #2.