Certificate for #5349 ⟨a, b | aaa=bb, bab=aa⟩

Completion settings:

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

Axiom: aaa=bb.

Referenced by [3].

Axiom: bab=aa.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3], [4], [5], [6], [7].

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

Critical pair: baba=bb.

Defines rule #6.

Referenced by [4], [6].

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

Critical pair: abab=baba.

Reduce RHS:

Defines rule #5.

Referenced by [5], [8].

Overlap of [2] aa=bab with [4] abab=bb:

Critical pair: abb=babbab.

Flip LHS and RHS.

Referenced by [6], [7].

Overlap of [3] baba=bb with [2] aa=bab:

Critical pair: babbab=bba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [7].

Simplify [5] babbab=abb.

Reduce LHS:

Defines rule #2.

Referenced by [8].

Overlap of [4] abab=bb with [7] abbbbbb=abb:

Critical pair: ababb=bbbbbbb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.