Certificate for #12557 ⟨a, b | abba=aa, baaa=b⟩

Completion settings:

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

Axiom: abba=aa.

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

Axiom: baaa=b.

Defines rule #2.

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

Overlap of [1] abba=aa with [2] baaa=b:

Critical pair: abb=aaaa.

Defines rule #4.

Referenced by [6], [7].

Overlap of [2] baaa=b with [1] abba=aa:

Critical pair: baaaa=bbba.

Reduce LHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [4] bbba=ba with [2] baaa=b:

Critical pair: bbb=baaa.

Reduce RHS:

Defines rule #5.

Referenced by [7].

Overlap of [1] abba=aa with [3] abb=aaaa:

Critical pair: aaaaa=aa.

Defines rule #1.

Overlap of [3] abb=aaaa with [5] bbb=b:

Critical pair: ab=aaaab.

Flip LHS and RHS.

Defines rule #3.