Certificate for #4152 ⟨a, b | abb=aaa, bab=a⟩

Completion settings:

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

Axiom: abb=aaa.

Referenced by [4], [5].

Axiom: bab=a.

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

Overlap of [2] bab=a with [2] bab=a:

Critical pair: baa=aab.

Flip LHS and RHS.

Referenced by [5].

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

Critical pair: baaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [3] aab=baa with [1] abb=aaa:

Critical pair: aaaa=baab.

Reduce RHS:

Flip LHS and RHS.

Referenced by [6], [7].

Overlap of [2] bab=a with [4] ab=baaa:

Critical pair: bbaaa=a.

Reduce LHS:

Defines rule #1.

Referenced by [7].

Overlap of [5] bbaa=aaaa with [6] aaaaa=a:

Critical pair: bba=aaaaaaa.

Reduce RHS:

Defines rule #3.