Certificate for #4639 ⟨a, b | aababaab=baa⟩

Completion settings:

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

Axiom: aababaab=baa.

Referenced by [3].

Axiom: aaba=c.

Defines rule #7.

Referenced by [3], [4], [5], [6], [7], [9], [10].

Overlap of [1] aababaab=baa with [2] aaba=c:

Critical pair: cbaab=baa.

Defines rule #4.

Referenced by [5], [8].

Overlap of [2] aaba=c with [2] aaba=c:

Critical pair: aabc=caba.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] cbaab=baa with [2] aaba=c:

Critical pair: cbc=baaa.

Flip LHS and RHS.

Defines rule #8.

Referenced by [6], [7].

Overlap of [2] aaba=c with [5] baaa=cbc:

Critical pair: aacbc=caa.

Flip LHS and RHS.

Defines rule #2.

Overlap of [5] baaa=cbc with [2] aaba=c:

Critical pair: bac=cbcba.

Flip LHS and RHS.

Defines rule #1.

Referenced by [8].

Overlap of [7] cbcba=bac with [3] cbaab=baa:

Critical pair: cbbaa=bacab.

Defines rule #6.

Referenced by [9].

Overlap of [8] cbbaa=bacab with [2] aaba=c:

Critical pair: cbbc=bacabba.

Flip LHS and RHS.

Defines rule #9.

Referenced by [10].

Overlap of [2] aaba=c with [9] bacabba=cbbc:

Critical pair: aacbbc=ccabba.

Flip LHS and RHS.

Defines rule #5.