Any Other Anarchists Here?

[EgoRaptor]

Anarchism
Belief in the abolition of all government and the organization of society on a voluntary, cooperative basis without recourse to force or compulsion.

Communism
A totalitarian system of government in which a single party controls state-owned means of production.

Seems to conflict to me.

You are redefining communism as Stalinism. Communism is merely the absence of private ownership of the means of production. Marx also said socialism would dissolve the state leading to communism (which is stateless). Anarchism is very similar to Marxism, just less rigid.