Certificate for #1496 ⟨a, b, c | ab=1, baa=cc⟩

Completion settings:

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

Axiom: ab=1.

Defines rule #1.

Referenced by [4], [6], [7].

Axiom: baa=cc.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3].

Overlap of [2] cc=baa with [2] cc=baa:

Critical pair: cbaa=baac.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [1] ab=1 with [3] baac=cbaa:

Critical pair: acbaa=aac.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [3] baac=cbaa with [4] aac=acbaa:

Critical pair: bacbaa=cbaa.

Referenced by [6].

Overlap of [5] bacbaa=cbaa with [1] ab=1:

Critical pair: bacba=cbaab.

Reduce RHS:

Referenced by [7].

Overlap of [6] bacba=cba with [1] ab=1:

Critical pair: bacb=cbab.

Reduce RHS:

Defines rule #3.