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

Completion settings:

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

Axiom: aaa=1.

Defines rule #3.

Referenced by [5], [6], [11].

Axiom: babb=a.

Referenced by [3], [4], [7], [8], [9], [10].

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

Critical pair: baba=aabb.

Referenced by [4].

Overlap of [3] baba=aabb with [2] babb=a:

Critical pair: baa=aabbbb.

Referenced by [5].

Overlap of [4] baa=aabbbb with [1] aaa=1:

Critical pair: b=aabbbba.

Flip LHS and RHS.

Referenced by [6].

Overlap of [1] aaa=1 with [5] aabbbba=b:

Critical pair: ab=bbbba.

Flip LHS and RHS.

Referenced by [7].

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

Critical pair: bbba=abbb.

Referenced by [8].

Overlap of [7] bbba=abbb with [2] babb=a:

Critical pair: bba=abbbbb.

Referenced by [9].

Overlap of [8] bba=abbbbb with [2] babb=a:

Critical pair: ba=abbbbbbb.

Defines rule #2.

Referenced by [10].

Overlap of [2] babb=a with [9] ba=abbbbbbb:

Critical pair: abbbbbbbbb=a.

Referenced by [11].

Overlap of [1] aaa=1 with [10] abbbbbbbbb=a:

Critical pair: aaa=bbbbbbbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.