Certificate for #3339 ⟨a, b, c | ab=aa, bcb=a⟩

Completion settings:

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

Axiom: ab=aa.

Defines rule #2.

Referenced by [3], [5].

Axiom: bcb=a.

Defines rule #4.

Referenced by [3], [4].

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

Critical pair: aa=aacb.

Flip LHS and RHS.

Referenced by [5].

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

Critical pair: bca=acb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Simplify [3] aacb=aa.

Reduce LHS:

Defines rule #1.