Certificate for #5610 ⟨a, b | aaabba=abbab⟩

Completion settings:

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

Axiom: aaabba=abbab.

Flip LHS and RHS.

Referenced by [3].

Axiom: abb=c.

Defines rule #5.

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

Simplify [1] abbab=aaabba.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbab=aaca with [2] abb=c:

Critical pair: cab=aaca.

Defines rule #4.

Referenced by [5], [6].

Overlap of [4] cab=aaca with [2] abb=c:

Critical pair: cc=aacab.

Reduce RHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [6], [7].

Overlap of [5] aaaaca=cc with [4] cab=aaca:

Critical pair: aaaaaaca=ccb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [5] aaaaca=cc with [5] aaaaca=cc:

Critical pair: aaaaccc=ccaaaca.

Flip LHS and RHS.

Defines rule #2.