Certificate for #950 ⟨a, b | aabbaab=ba⟩

Completion settings:

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

Axiom: aabbaab=ba.

Referenced by [3].

Axiom: baab=c.

Referenced by [3], [4], [5], [6], [10], [11].

Overlap of [1] aabbaab=ba with [2] baab=c:

Critical pair: aabc=ba.

Referenced by [5], [7].

Overlap of [2] baab=c with [2] baab=c:

Critical pair: baac=caab.

Referenced by [8].

Overlap of [2] baab=c with [3] aabc=ba:

Critical pair: bba=cc.

Referenced by [6], [9].

Overlap of [5] bba=cc with [2] baab=c:

Critical pair: bc=ccab.

Defines rule #3.

Referenced by [7], [8], [9], [11].

Overlap of [3] aabc=ba with [6] bc=ccab:

Critical pair: aaccab=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [8], [9], [10], [11].

Overlap of [4] baac=caab with [7] ba=aaccab:

Critical pair: aaccabac=caab.

Reduce LHS:

Referenced by [9], [11].

Overlap of [5] bba=cc with [7] ba=aaccab:

Critical pair: baaccab=cc.

Reduce LHS:

Referenced by [11].

Overlap of [2] baab=c with [7] ba=aaccab:

Critical pair: aaccabab=c.

Reduce LHS:

Defines rule #4.

Overlap of [2] baab=c with [7] ba=aaccab:

Critical pair: baaaaccab=ca.

Reduce LHS:

Defines rule #1.