Certificate for #12188 ⟨a, b | aaaa=ab, bbaa=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 #2.

Referenced by [3].

Axiom: bbaa=a.

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

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

Critical pair: aa=aaaabaa.

Reduce RHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] bbaa=a with [3] aaaaaaaaa=aa:

Critical pair: bbaa=aaaaaaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

Overlap of [2] bbaa=a with [4] aaaaaaaa=a:

Critical pair: bba=aaaaaaa.

Defines rule #3.