Certificate for #5888 ⟨a, b, c | ab=a, bcb=aa⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #2.

Referenced by [3], [4].

Axiom: bcb=aa.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [4].

Overlap of [2] aa=bcb with [1] ab=a:

Critical pair: aa=bcbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] aa=bcb with [2] aa=bcb:

Critical pair: abcb=bcba.

Reduce LHS:

Defines rule #3.