Certificate for #4335 ⟨a, b | abbaabaab=bb⟩

Completion settings:

• Reduction order:
  • Right-to-left recursive path with deg(c) = 0; deg(b) = 1; deg(a) = 2
• Auxiliary generators:
  1. aab=c

Axiom: abbaabaab=bb.

Referenced by [3].

Axiom: aab=c.

Defines rule #4.

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

Overlap of [1] abbaabaab=bb with [2] aab=c:

Critical pair: abbcaab=bb.

Reduce LHS:

Referenced by [4], [6].

Overlap of [2] aab=c with [3] abbcc=bb:

Critical pair: abb=cbcc.

Referenced by [5], [6].

Overlap of [2] aab=c with [4] abb=cbcc:

Critical pair: acbcc=cb.

Defines rule #3.

Overlap of [3] abbcc=bb with [4] abb=cbcc:

Critical pair: cbcccc=bb.

Flip LHS and RHS.

Defines rule #1.

Referenced by [7].

Overlap of [6] bb=cbcccc with [6] bb=cbcccc:

Critical pair: bcbcccc=cbccccb.

Defines rule #2.