Certificate for #21214 ⟨a, b | aaa=1, abbbabbb=1⟩

Completion settings:

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

Axiom: aaa=1.

Defines rule #1.

Referenced by [3], [6], [7].

Axiom: abbbabbb=1.

Referenced by [3].

Overlap of [1] aaa=1 with [2] abbbabbb=1:

Critical pair: aa=bbbabbb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [4], [5].

Overlap of [3] bbbabbb=aa with [3] bbbabbb=aa:

Critical pair: bbbabaa=aababbb.

Defines rule #3.

Referenced by [6].

Overlap of [3] bbbabbb=aa with [3] bbbabbb=aa:

Critical pair: bbbabbaa=aabbabbb.

Defines rule #5.

Overlap of [4] bbbabaa=aababbb with [1] aaa=1:

Critical pair: bbbab=aababbba.

Flip LHS and RHS.

Referenced by [7].

Overlap of [1] aaa=1 with [6] aababbba=bbbab:

Critical pair: abbbab=babbba.

Flip LHS and RHS.

Defines rule #2.