Certificate for #4164 ⟨a, b | abb=aba, baa=a⟩

Completion settings:

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

Axiom: abb=aba.

Referenced by [3], [7].

Axiom: baa=a.

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

Overlap of [1] abb=aba with [2] baa=a:

Critical pair: aba=abaaa.

Reduce RHS:

Referenced by [4], [7].

Overlap of [3] aba=aaa with [2] baa=a:

Critical pair: aa=aaaa.

Flip LHS and RHS.

Referenced by [5].

Overlap of [2] baa=a with [4] aaaa=aa:

Critical pair: baa=aaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [6], [7].

Overlap of [2] baa=a with [5] aaa=a:

Critical pair: ba=aa.

Defines rule #1.

Simplify [1] abb=aba.

Reduce RHS:

Defines rule #3.