Certificate for #3484 ⟨a, b, c | bb=aa, abc=b⟩

Completion settings:

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

Axiom: bb=aa.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3], [4].

Axiom: abc=b.

Defines rule #4.

Referenced by [4].

Overlap of [1] aa=bb with [1] aa=bb:

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #1.

Overlap of [1] aa=bb with [2] abc=b:

Critical pair: ab=bbbc.

Flip LHS and RHS.

Defines rule #2.