Certificate for #5274 ⟨a, b | aabbbba=baab⟩

Completion settings:

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

Axiom: aabbbba=baab.

Referenced by [3].

Axiom: bb=c.

Defines rule #5.

Referenced by [3], [4], [5], [6].

Overlap of [1] aabbbba=baab with [2] bb=c:

Critical pair: aacbba=baab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #6.

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

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

Critical pair: bc=cb.

Flip LHS and RHS.

Defines rule #1.

Overlap of [2] bb=c with [3] baab=aacca:

Critical pair: baacca=caab.

Flip LHS and RHS.

Defines rule #2.

Overlap of [3] baab=aacca with [2] bb=c:

Critical pair: baac=aaccab.

Flip LHS and RHS.

Defines rule #3.

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

Critical pair: baaaacca=aaccaaab.

Flip LHS and RHS.

Defines rule #4.