Certificate for #752 ⟨a, b | aaa=1, babb=a⟩

Completion settings:

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

Axiom: aaa=1.

Defines rule #3.

Referenced by [4], [8].

Axiom: babb=a.

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

Overlap of [2] babb=a with [2] babb=a:

Critical pair: baba=aabb.

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aaa=1 with [3] aabb=baba:

Critical pair: ababa=bb.

Referenced by [5].

Overlap of [4] ababa=bb with [4] ababa=bb:

Critical pair: abbb=bbba.

Referenced by [6].

Overlap of [2] babb=a with [5] abbb=bbba:

Critical pair: bbbba=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

Overlap of [2] babb=a with [6] ab=bbbba:

Critical pair: bbbbbab=a.

Reduce LHS:

Referenced by [8].

Overlap of [7] bbbbbbbbba=a with [1] aaa=1:

Critical pair: bbbbbbbbb=aaa.

Reduce RHS:

Defines rule #1.