Certificate for #2347 ⟨a, b | abbaaab=baa⟩

Completion settings:

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

Axiom: abbaaab=baa.

Referenced by [3].

Axiom: baa=c.

Defines rule #4.

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

Simplify [1] abbaaab=baa.

Reduce RHS:

Referenced by [4].

Overlap of [3] abbaaab=c with [2] baa=c:

Critical pair: abcab=c.

Defines rule #3.

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

Overlap of [2] baa=c with [4] abcab=c:

Critical pair: bac=cbcab.

Flip LHS and RHS.

Defines rule #2.

Overlap of [4] abcab=c with [2] baa=c:

Critical pair: abcac=caa.

Flip LHS and RHS.

Defines rule #5.

Overlap of [4] abcab=c with [4] abcab=c:

Critical pair: abcc=ccab.

Flip LHS and RHS.

Defines rule #1.