Certificate for #4685 ⟨a, b | aabbaaab=bba⟩

Completion settings:

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

Axiom: aabbaaab=bba.

Referenced by [3].

Axiom: bba=c.

Defines rule #3.

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

Simplify [1] aabbaaab=bba.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabbaaab=c with [2] bba=c:

Critical pair: aacaab=c.

Defines rule #1.

Referenced by [5], [6].

Overlap of [2] bba=c with [4] aacaab=c:

Critical pair: bbc=cacaab.

Flip LHS and RHS.

Defines rule #4.

Overlap of [4] aacaab=c with [2] bba=c:

Critical pair: aacaac=cba.

Flip LHS and RHS.

Defines rule #2.