Certificate for #16537 ⟨a, b | aba=ab, baa=aba⟩

Back:⟨a, b | aba=ab, baa=aba⟩

Completion settings:

[1] aba=ab

Axiom: aba=ab.

Referenced by [2], [3].

[2] ab=baa

Axiom: baa=aba.

Reduce RHS:

[1](aba)
⇒ ab

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aba=baa

Simplify [1] aba=ab.

Reduce RHS:

[2](ab)
⇒ baa

Referenced by [4].

[4] baaa=baa

Overlap of [3] aba=baa with [2] ab=baa:

aba ab

Critical pair: baaa=baa.

Defines rule #1.