Certificate for #4150 ⟨a, b | abb=aaa, baa=a⟩

Completion settings:

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

Axiom: abb=aaa.

Defines rule #3.

Referenced by [3].

Axiom: baa=a.

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

Overlap of [1] abb=aaa with [2] baa=a:

Critical pair: aba=aaaaa.

Referenced by [4].

Overlap of [3] aba=aaaaa with [2] baa=a:

Critical pair: aa=aaaaaa.

Flip LHS and RHS.

Referenced by [5].

Overlap of [2] baa=a with [4] aaaaaa=aa:

Critical pair: baa=aaaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [6].

Overlap of [2] baa=a with [5] aaaaa=a:

Critical pair: ba=aaaa.

Defines rule #2.