Certificate for #4835 ⟨a, b | ababbaab=baa⟩

Completion settings:

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

Axiom: ababbaab=baa.

Referenced by [3].

Axiom: ba=c.

Defines rule #1.

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

Simplify [1] ababbaab=baa.

Reduce RHS:

Referenced by [4].

Overlap of [3] ababbaab=ca with [2] ba=c:

Critical pair: acbbaab=ca.

Reduce LHS:

Defines rule #3.

Referenced by [5], [6].

Overlap of [2] ba=c with [4] acbcab=ca:

Critical pair: bca=ccbcab.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] acbcab=ca with [2] ba=c:

Critical pair: acbcac=caa.

Flip LHS and RHS.

Defines rule #4.