Certificate for #2844 ⟨a, b, c | aaa=b, bcb=c⟩

Completion settings:

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

Axiom: aaa=b.

Flip LHS and RHS.

Defines rule #5.

Referenced by [2].

Axiom: bcb=c.

Reduce LHS:

Defines rule #3.

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

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

Critical pair: aaacc=ccaaa.

Flip LHS and RHS.

Defines rule #1.

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

Critical pair: aaacac=cacaaa.

Flip LHS and RHS.

Defines rule #2.

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

Critical pair: aaacaac=caacaaa.

Flip LHS and RHS.

Defines rule #4.