Certificate for #5250 ⟨a, b, c | aa=b, bccb=a⟩

Completion settings:

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

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

Axiom: bccb=a.

Reduce LHS:

Referenced by [3], [4].

Overlap of [2] aaccaa=a with [2] aaccaa=a:

Critical pair: aacca=accaa.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4].

Overlap of [2] aaccaa=a with [3] accaa=aacca:

Critical pair: aaacca=a.

Defines rule #2.