Certificate for #3510 ⟨a, b, c | bb=ac, aba=c⟩

Completion settings:

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

Axiom: bb=ac.

Flip LHS and RHS.

Referenced by [3].

Axiom: aba=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

Overlap of [1] ac=bb with [2] c=aba:

Critical pair: aaba=bb.

Defines rule #1.

Referenced by [4].

Overlap of [3] aaba=bb with [3] aaba=bb:

Critical pair: aabbb=bbaba.

Flip LHS and RHS.

Defines rule #2.