Certificate for #16534 ⟨a, b | aba=ab, abb=aaa⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with a < b

Axiom: aba=ab.

Defines rule #2.

Referenced by [3], [4].

Axiom: abb=aaa.

Defines rule #3.

Referenced by [3], [4].

Overlap of [1] aba=ab with [1] aba=ab:

Critical pair: abab=abba.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Defines rule #4.

Referenced by [5].

Overlap of [1] aba=ab with [2] abb=aaa:

Critical pair: abaaa=abbb.

Reduce LHS:

Reduce RHS:

Flip LHS and RHS.

Referenced by [5].

Overlap of [3] aaaa=aaa with [4] aaab=ab:

Critical pair: aab=aaab.

Reduce RHS:

Defines rule #1.