Certificate for #4195 ⟨a, b | bab=abb, bbb=b⟩

Completion settings:

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

Axiom: bab=abb.

Referenced by [4].

Axiom: bbb=b.

Defines rule #2.

Referenced by [6].

Axiom: ab=c.

Defines rule #4.

Referenced by [4], [5], [6], [7].

Simplify [1] bab=abb.

Reduce RHS:

Referenced by [5].

Overlap of [4] bab=cb with [3] ab=c:

Critical pair: bc=cb.

Flip LHS and RHS.

Defines rule #1.

Referenced by [6], [7].

Overlap of [3] ab=c with [2] bbb=b:

Critical pair: ab=cbb.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [7].

Overlap of [3] ab=c with [6] bbc=c:

Critical pair: ac=cbc.

Reduce RHS:

Defines rule #5.