Certificate for #14601 ⟨a, b | aaba=b, aaaaa=a⟩

Completion settings:

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

Axiom: aaba=b.

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

Axiom: aaaaa=a.

Defines rule #1.

Referenced by [3], [6].

Overlap of [1] aaba=b with [2] aaaaa=a:

Critical pair: aaba=baaaa.

Reduce LHS:

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aaba=b with [3] baaaa=b:

Critical pair: aab=baaa.

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aaba=b with [4] baaa=aab:

Critical pair: aaaab=baa.

Flip LHS and RHS.

Referenced by [6], [7].

Overlap of [1] aaba=b with [5] baa=aaaab:

Critical pair: aaaaaab=ba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Referenced by [7].

Overlap of [5] baa=aaaab with [6] ba=aab:

Critical pair: aaba=aaaab.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.