Certificate for #930 ⟨a, b, c | aa=b, bcb=c⟩

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 #4.

Referenced by [2].

Axiom: bcb=c.

Reduce LHS:

Defines rule #2.

Referenced by [3], [4].

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

Critical pair: aacc=ccaa.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: aacac=cacaa.

Flip LHS and RHS.

Defines rule #3.