Certificate for #2302 ⟨a, b | aaa=1, abbabb=1⟩

Completion settings:

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

Axiom: aaa=1.

Defines rule #1.

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

Axiom: abbabb=1.

Referenced by [3].

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

Critical pair: aa=bbabb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

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

Critical pair: bbabaa=aababb.

Defines rule #4.

Referenced by [5].

Overlap of [4] bbabaa=aababb with [1] aaa=1:

Critical pair: bbab=aababba.

Flip LHS and RHS.

Referenced by [6].

Overlap of [1] aaa=1 with [5] aababba=bbab:

Critical pair: abbab=babba.

Flip LHS and RHS.

Defines rule #2.