Certificate for #7453 ⟨a, b, c | ab=1, accc=bb⟩

Completion settings:

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

Axiom: ab=1.

Referenced by [3], [5].

Axiom: accc=bb.

Flip LHS and RHS.

Referenced by [3], [4].

Overlap of [1] ab=1 with [2] bb=accc:

Critical pair: aaccc=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

Overlap of [2] bb=accc with [2] bb=accc:

Critical pair: baccc=acccb.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #2.

Overlap of [1] ab=1 with [3] b=aaccc:

Critical pair: aaaccc=1.

Defines rule #1.