Certificate for #1987 ⟨a, b | aabbaaba=ba⟩

Completion settings:

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

Axiom: aabbaaba=ba.

Referenced by [3].

Axiom: bba=c.

Defines rule #4.

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

Overlap of [1] aabbaaba=ba with [2] bba=c:

Critical pair: aacaba=ba.

Defines rule #2.

Referenced by [4], [5].

Overlap of [2] bba=c with [3] aacaba=ba:

Critical pair: bbba=cacaba.

Reduce LHS:

Defines rule #3.

Overlap of [3] aacaba=ba with [3] aacaba=ba:

Critical pair: aacabba=baacaba.

Reduce LHS:

Reduce RHS:

Defines rule #1.