Certificate for #5589 ⟨a, b, c | ab=c, bcbc=b⟩

Completion settings:

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

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

Axiom: bcbc=b.

Reduce LHS:

Referenced by [3], [4].

Overlap of [2] babbab=b with [2] babbab=b:

Critical pair: babb=bbab.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

Overlap of [2] babbab=b with [3] bbab=babb:

Critical pair: bababb=b.

Defines rule #2.