Certificate for #19547 ⟨a, b | aab=b, ababa=bb⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #1.

Referenced by [3], [4], [7].

Axiom: ababa=bb.

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

Overlap of [1] aab=b with [2] ababa=bb:

Critical pair: abb=baba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [2] ababa=bb with [1] aab=b:

Critical pair: ababb=bbab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [6].

Overlap of [2] ababa=bb with [2] ababa=bb:

Critical pair: abbb=bbba.

Flip LHS and RHS.

Defines rule #4.

Overlap of [4] bbab=ababb with [3] baba=abb:

Critical pair: babb=ababba.

Flip LHS and RHS.

Referenced by [7].

Overlap of [1] aab=b with [6] ababba=babb:

Critical pair: ababb=babba.

Flip LHS and RHS.

Defines rule #5.