Certificate for #2452 ⟨a, b | aaa=1, bbabb=a⟩

Completion settings:

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

Axiom: aaa=1.

Defines rule #1.

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

Axiom: bbabb=a.

Referenced by [3], [6].

Overlap of [2] bbabb=a with [2] bbabb=a:

Critical pair: bbaa=aabb.

Referenced by [4].

Overlap of [3] bbaa=aabb with [1] aaa=1:

Critical pair: bb=aabba.

Flip LHS and RHS.

Referenced by [5], [6].

Overlap of [1] aaa=1 with [4] aabba=bb:

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] aabba=bb with [2] bbabb=a:

Critical pair: aaa=bbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.