Certificate for #2325 ⟨a, b | ababaab=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: ababaab=baa.

Referenced by [3].

Axiom: baa=c.

Defines rule #4.

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

Simplify [1] ababaab=baa.

Reduce RHS:

Referenced by [4].

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

Critical pair: abacb=c.

Defines rule #3.

Referenced by [5], [6], [7], [9].

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

Critical pair: bac=cbacb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7], [8].

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

Critical pair: abacc=caa.

Flip LHS and RHS.

Defines rule #5.

Overlap of [4] abacb=c with [5] cbacb=bac:

Critical pair: ababac=cacb.

Defines rule #7.

Referenced by [9].

Overlap of [5] cbacb=bac with [5] cbacb=bac:

Critical pair: cbabac=bacacb.

Defines rule #6.

Overlap of [7] ababac=cacb with [4] abacb=c:

Critical pair: abc=cacbb.

Flip LHS and RHS.

Defines rule #1.