Certificate for #19756 ⟨a, b | aba=b, baaab=aa⟩

Completion settings:

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

Axiom: aba=b.

Referenced by [3], [4], [5], [7], [8].

Axiom: baaab=aa.

Referenced by [3], [6], [9].

Overlap of [1] aba=b with [2] baaab=aa:

Critical pair: aaa=baab.

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aba=b with [3] baab=aaa:

Critical pair: aaaa=bab.

Flip LHS and RHS.

Referenced by [5], [9].

Overlap of [1] aba=b with [4] bab=aaaa:

Critical pair: aaaaa=bb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [6].

Overlap of [2] baaab=aa with [5] bb=aaaaa:

Critical pair: baaaaaaaa=aab.

Flip LHS and RHS.

Referenced by [7], [9].

Overlap of [6] aab=baaaaaaaa with [1] aba=b:

Critical pair: ab=baaaaaaaaa.

Defines rule #3.

Referenced by [8].

Overlap of [1] aba=b with [7] ab=baaaaaaaaa:

Critical pair: baaaaaaaaaa=b.

Defines rule #2.

Overlap of [2] baaab=aa with [6] aab=baaaaaaaa:

Critical pair: babaaaaaaaa=aa.

Reduce LHS:

Defines rule #1.