Certificate for #1595 ⟨a, b | aaa=ab, bab=b⟩

Completion settings:

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

Axiom: aaa=ab.

Defines rule #4.

Referenced by [3], [6].

Axiom: bab=b.

Referenced by [4], [5], [7], [8].

Overlap of [1] aaa=ab with [1] aaa=ab:

Critical pair: aab=aba.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [2] bab=b with [3] aba=aab:

Critical pair: baab=ba.

Referenced by [7].

Overlap of [3] aba=aab with [2] bab=b:

Critical pair: ab=aabb.

Flip LHS and RHS.

Referenced by [6].

Overlap of [1] aaa=ab with [5] aabb=ab:

Critical pair: aab=abbb.

Defines rule #3.

Referenced by [7].

Simplify [4] baab=ba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [8].

Overlap of [2] bab=b with [7] ba=bbb:

Critical pair: bbbb=b.

Defines rule #1.