Certificate for #5404 ⟨a, b | abbabba=baab⟩

Completion settings:

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

Axiom: abbabba=baab.

Referenced by [3].

Axiom: bba=c.

Defines rule #6.

Referenced by [3], [4], [5], [7], [8].

Overlap of [1] abbabba=baab with [2] bba=c:

Critical pair: acbba=baab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #7.

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

Overlap of [2] bba=c with [3] baab=acc:

Critical pair: bacc=cab.

Flip LHS and RHS.

Defines rule #1.

Overlap of [3] baab=acc with [2] bba=c:

Critical pair: baac=accba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

Overlap of [3] baab=acc with [3] baab=acc:

Critical pair: baaacc=accaab.

Flip LHS and RHS.

Defines rule #4.

Referenced by [8].

Overlap of [2] bba=c with [5] accba=baac:

Critical pair: bbbaac=cccba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [2] bba=c with [6] accaab=baaacc:

Critical pair: bbbaaacc=cccaab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #5.