Certificate for #17135 ⟨a, b | aaaa=1, abbbab=b⟩

Completion settings:

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

Axiom: aaaa=1.

Defines rule #4.

Referenced by [3], [7].

Axiom: abbbab=b.

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

Overlap of [1] aaaa=1 with [2] abbbab=b:

Critical pair: aaab=bbbab.

Referenced by [5].

Overlap of [2] abbbab=b with [2] abbbab=b:

Critical pair: abbbb=bbbab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5], [6].

Simplify [3] aaab=bbbab.

Reduce RHS:

Referenced by [6].

Overlap of [5] aaab=abbbb with [2] abbbab=b:

Critical pair: aab=abbbbbbab.

Reduce RHS:

Defines rule #3.

Referenced by [7].

Overlap of [1] aaaa=1 with [6] aab=bbbb:

Critical pair: aabbbb=b.

Reduce LHS:

Defines rule #1.