Certificate for #5895 ⟨a, b | ababba=baaba⟩

Completion settings:

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

Axiom: ababba=baaba.

Flip LHS and RHS.

Referenced by [2], [3].

Axiom: baaba=c.

Reduce LHS:

Defines rule #6.

Referenced by [3], [5], [6], [7], [8].

Simplify [1] baaba=ababba.

Reduce RHS:

Defines rule #7.

Referenced by [4], [5], [6], [7].

Overlap of [3] baaba=c with [3] baaba=c:

Critical pair: baac=caba.

Defines rule #4.

Overlap of [3] baaba=c with [2] ababba=c:

Critical pair: bac=cbba.

Defines rule #1.

Overlap of [3] baaba=c with [2] ababba=c:

Critical pair: baabc=cbabba.

Defines rule #5.

Overlap of [2] ababba=c with [3] baaba=c:

Critical pair: ababc=caba.

Defines rule #2.

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

Critical pair: ababbc=cbabba.

Defines rule #3.