Certificate for #12186 ⟨a, b | aaaa=ab, babb=a⟩

Completion settings:

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

Axiom: aaaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3].

Axiom: babb=a.

Reduce LHS:

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

Overlap of [1] ab=aaaa with [2] baaaaaaa=a:

Critical pair: aa=aaaaaaaaaaa.

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] baaaaaaa=a with [3] aaaaaaaaaaa=aa:

Critical pair: baa=aaaaa.

Referenced by [5].

Overlap of [2] baaaaaaa=a with [4] baa=aaaaa:

Critical pair: aaaaaaaaaa=a.

Defines rule #1.

Referenced by [6].

Overlap of [2] baaaaaaa=a with [5] aaaaaaaaaa=a:

Critical pair: ba=aaaa.

Defines rule #2.