Certificate for #4837 ⟨a, b | ababbaab=bba⟩

Completion settings:

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

Axiom: ababbaab=bba.

Referenced by [3].

Axiom: bba=c.

Defines rule #4.

Referenced by [3], [4], [5], [6].

Simplify [1] ababbaab=bba.

Reduce RHS:

Referenced by [4].

Overlap of [3] ababbaab=c with [2] bba=c:

Critical pair: abacab=c.

Defines rule #3.

Referenced by [5], [6], [7].

Overlap of [2] bba=c with [4] abacab=c:

Critical pair: bbc=cbacab.

Defines rule #5.

Overlap of [4] abacab=c with [2] bba=c:

Critical pair: abacac=cba.

Defines rule #2.

Overlap of [4] abacab=c with [4] abacab=c:

Critical pair: abacc=cacab.

Defines rule #1.