Certificate for #3522 ⟨a, b, c | bb=ac, baa=a⟩

Back:⟨a, b, c | bb=ac, baa=a⟩

Completion settings:

[1] ac=bb

Axiom: bb=ac.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[2] baa=a

Axiom: baa=a.

Defines rule #2.

Referenced by [3], [4].

[3] babb=bb

Overlap of [2] baa=a with [1] ac=bb:

ba a ac

Critical pair: babb=ac.

Reduce RHS:

[1](ac)
⇒ bb

Defines rule #3.

Referenced by [4].

[4] baba=ba

Overlap of [3] babb=bb with [2] baa=a:

bab b baa

Critical pair: baba=bbaa.

Reduce RHS:

[2]b(baa)
⇒ ba

Defines rule #4.