Certificate for #20086 ⟨a, b | aab=b, abaa=bba⟩

Completion settings:

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

Axiom: aab=b.

Defines rule #3.

Referenced by [3], [4], [5], [6], [7].

Axiom: abaa=bba.

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

Overlap of [1] aab=b with [2] abaa=bba:

Critical pair: abba=baa.

Flip LHS and RHS.

Defines rule #4.

Overlap of [2] abaa=bba with [1] aab=b:

Critical pair: abb=bbab.

Flip LHS and RHS.

Referenced by [7].

Overlap of [2] abaa=bba with [1] aab=b:

Critical pair: abab=bbaab.

Reduce RHS:

Referenced by [6], [7].

Overlap of [1] aab=b with [5] abab=bbb:

Critical pair: abbb=bab.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] bbab=abb with [5] abab=bbb:

Critical pair: bbbbb=abbab.

Reduce RHS:

Defines rule #1.