Certificate for #16462 ⟨a, b | aba=bb, abbb=bb⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = 0; deg(a) = 1

Axiom: aba=bb.

Defines rule #4.

Referenced by [3], [4], [6].

Axiom: abbb=bb.

Referenced by [3], [4], [5], [6].

Overlap of [1] aba=bb with [1] aba=bb:

Critical pair: abbb=bbba.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aba=bb with [2] abbb=bb:

Critical pair: abbb=bbbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] abbb=bb with [3] bbba=bb:

Critical pair: abb=bba.

Flip LHS and RHS.

Referenced by [6], [7].

Overlap of [2] abbb=bb with [5] bba=abb:

Critical pair: ababb=bba.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

Simplify [5] bba=abb.

Reduce RHS:

Defines rule #3.