Certificate for #5894 ⟨a, b | ababba=baaab⟩

Completion settings:

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

Axiom: ababba=baaab.

Flip LHS and RHS.

Referenced by [2], [3].

Axiom: baaab=c.

Reduce LHS:

Defines rule #4.

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

Simplify [1] baaab=ababba.

Reduce RHS:

Defines rule #5.

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

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

Critical pair: baaac=caaab.

Flip LHS and RHS.

Defines rule #6.

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

Critical pair: baac=cabba.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: ababc=caab.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: ababbc=cbabba.

Flip LHS and RHS.

Defines rule #3.