Certificate for #13149 ⟨a, b | aba=aaa, baa=ab⟩

Back:⟨a, b | aba=aaa, baa=ab⟩

Completion settings:

[1] aba=aaa

Axiom: aba=aaa.

Referenced by [3].

[2] ab=baa

Axiom: baa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3], [4].

[3] baaa=aaa

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

aba ab

Critical pair: baaa=aaa.

Defines rule #2.

Referenced by [4].

[4] aaaaa=aaaa

Overlap of [2] ab=baa with [3] baaa=aaa:

a b baaa

Critical pair: aaaa=baaaaa.

Reduce RHS:

[3](baaa)aa
⇒ aaaaa

Flip LHS and RHS.

Defines rule #1.