Certificate for #4853 ⟨a, b | abbaaaab=aaa⟩

Completion settings:

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

Axiom: abbaaaab=aaa.

Referenced by [3].

Axiom: abb=c.

Defines rule #6.

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

Overlap of [1] abbaaaab=aaa with [2] abb=c:

Critical pair: caaaab=aaa.

Referenced by [4], [6].

Overlap of [3] caaaab=aaa with [2] abb=c:

Critical pair: caaac=aaab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5], [6].

Overlap of [4] aaab=caaac with [2] abb=c:

Critical pair: aac=caaacb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [7].

Overlap of [3] caaaab=aaa with [4] aaab=caaac:

Critical pair: cacaaac=aaa.

Defines rule #1.

Referenced by [7], [8].

Overlap of [6] cacaaac=aaa with [5] caaacb=aac:

Critical pair: cacaaaaac=aaaaaacb.

Flip LHS and RHS.

Defines rule #5.

Overlap of [6] cacaaac=aaa with [6] cacaaac=aaa:

Critical pair: cacaaaaaa=aaaacaaac.

Flip LHS and RHS.

Defines rule #2.