Certificate for #5089 ⟨a, b | aaa=bb, baab=b⟩

Completion settings:

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

Axiom: aaa=bb.

Defines rule #5.

Referenced by [3], [4].

Axiom: baab=b.

Defines rule #4.

Referenced by [4], [5].

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

Critical pair: abb=bba.

Flip LHS and RHS.

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

Overlap of [2] baab=b with [3] bba=abb:

Critical pair: baaabb=bba.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5], [6].

Overlap of [3] bba=abb with [2] baab=b:

Critical pair: bb=abbab.

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.

Simplify [3] bba=abb.

Reduce RHS:

Defines rule #3.