Certificate for #1606 ⟨a, b | aaa=bb, bab=a⟩

Completion settings:

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

Axiom: aaa=bb.

Flip LHS and RHS.

Defines rule #3.

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

Axiom: bab=a.

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

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

Critical pair: baa=aab.

Flip LHS and RHS.

Referenced by [4].

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

Critical pair: ba=aaaab.

Reduce RHS:

Flip LHS and RHS.

Referenced by [5].

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

Critical pair: baaaa=ab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [5] ab=ba with [1] bb=aaa:

Critical pair: aaaa=bab.

Reduce RHS:

Defines rule #1.