Certificate for #20243 ⟨a, b | aba=a, bbbb=aab⟩

Completion settings:

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

Axiom: aba=a.

Defines rule #5.

Referenced by [3], [4].

Axiom: bbbb=aab.

Flip LHS and RHS.

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

Overlap of [1] aba=a with [2] aab=bbbb:

Critical pair: abbbbb=aab.

Reduce RHS:

Referenced by [6], [7].

Overlap of [2] aab=bbbb with [1] aba=a:

Critical pair: aa=bbbba.

Defines rule #4.

Referenced by [5].

Overlap of [2] aab=bbbb with [4] aa=bbbba:

Critical pair: bbbbab=bbbb.

Defines rule #3.

Referenced by [7].

Overlap of [2] aab=bbbb with [3] abbbbb=bbbb:

Critical pair: abbbb=bbbbbbbb.

Defines rule #2.

Referenced by [7].

Overlap of [3] abbbbb=bbbb with [5] bbbbab=bbbb:

Critical pair: abbbbb=bbbbab.

Reduce LHS:

Reduce RHS:

Defines rule #1.