Certificate for #1592 ⟨a, b | aaa=ab, baa=a⟩

Completion settings:

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

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

Axiom: baa=a.

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

Overlap of [1] ab=aaa with [2] baa=a:

Critical pair: aa=aaaaa.

Flip LHS and RHS.

Referenced by [4].

Overlap of [2] baa=a with [3] aaaaa=aa:

Critical pair: baa=aaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

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

Critical pair: ba=aaa.

Defines rule #2.