Certificate for #3957 ⟨a, b | aaabaaaab=ba⟩

Completion settings:

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

Axiom: aaabaaaab=ba.

Referenced by [3].

Axiom: baa=c.

Referenced by [3], [4].

Overlap of [1] aaabaaaab=ba with [2] baa=c:

Critical pair: aaacaab=ba.

Flip LHS and RHS.

Defines rule #3.

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

Overlap of [2] baa=c with [3] ba=aaacaab:

Critical pair: aaacaaba=c.

Reduce LHS:

Defines rule #2.

Referenced by [5], [6].

Overlap of [3] ba=aaacaab with [4] aaacaaaaacaab=c:

Critical pair: bc=aaacaabaacaaaaacaab.

Reduce RHS:

Defines rule #4.

Overlap of [4] aaacaaaaacaab=c with [3] ba=aaacaab:

Critical pair: aaacaaaaacaaaaacaab=ca.

Reduce LHS:

Defines rule #1.