Certificate for #4491 ⟨a, b, c | abc=1, aaba=b⟩

Completion settings:

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

Axiom: abc=1.

Defines rule #2.

Referenced by [3].

Axiom: aaba=b.

Defines rule #1.

Referenced by [3], [4], [5].

Overlap of [2] aaba=b with [1] abc=1:

Critical pair: aab=bbc.

Flip LHS and RHS.

Defines rule #5.

Overlap of [2] aaba=b with [2] aaba=b:

Critical pair: aabb=baba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [5].

Overlap of [2] aaba=b with [4] baba=aabb:

Critical pair: aaaabb=bba.

Flip LHS and RHS.

Defines rule #3.