Certificate for #3858 ⟨a, b | aaba=ab, bbbb=1⟩

Completion settings:

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

Axiom: aaba=ab.

Defines rule #1.

Referenced by [3], [4].

Axiom: bbbb=1.

Defines rule #3.

Overlap of [1] aaba=ab with [1] aaba=ab:

Critical pair: aabab=ababa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [4], [5].

Overlap of [1] aaba=ab with [3] ababa=abb:

Critical pair: aabb=abba.

Flip LHS and RHS.

Defines rule #2.

Overlap of [3] ababa=abb with [3] ababa=abb:

Critical pair: ababb=abbba.

Flip LHS and RHS.

Defines rule #5.