Certificate for #4570 ⟨a, b, c | abc=1, bbab=a⟩

Completion settings:

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

Axiom: abc=1.

Defines rule #3.

Referenced by [3].

Axiom: bbab=a.

Defines rule #1.

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

Overlap of [2] bbab=a with [1] abc=1:

Critical pair: bb=ac.

Flip LHS and RHS.

Defines rule #2.

Overlap of [2] bbab=a with [2] bbab=a:

Critical pair: bbaa=abab.

Flip LHS and RHS.

Defines rule #5.

Referenced by [5].

Overlap of [2] bbab=a with [4] abab=bbaa:

Critical pair: bbbbaa=aab.

Flip LHS and RHS.

Defines rule #4.