Certificate for #5383 ⟨a, b, c | ab=a, bcac=a⟩

Completion settings:

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

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

Axiom: bcac=a.

Defines rule #4.

Referenced by [3], [4].

Overlap of [1] ab=a with [2] bcac=a:

Critical pair: aa=acac.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

Overlap of [2] bcac=a with [3] acac=aa:

Critical pair: bcaa=aac.

Flip LHS and RHS.

Defines rule #2.