Here, a text from the magazine Killing King Abacus outlines some of the basis points of insurrectionary anarchist praxis.
Insurrectionary anarchism is not an ideological solution to all social problems, a commodity on the capitalist market of ideologies and opinions, but an on-going praxis aimed at putting an end to the domination of the state and the continuance of capitalism, which requires analysis and discussion to advance. We don't look to some ideal society or offer an image of utopia for public consumption. Throughout history, most anarchists, except those who believed that society would evolve to the point that it would leave the state behind, have been insurrectionary anarchists. Most simply, this means that the state will not merely wither away, thus anarchists must attack, for waiting is defeat; what is needed is open mutiny and the spreading of subversion among the exploited and excluded. Here we spell out some implications that we and some other insurrectionary anarchists draw from this general problem: if the state will not disappear on its own, how then do we end its existence? It is, therefore, primarily a practice, and focuses on the organization of attack... The State of capital will not "wither away" ...attack is the refusal of mediation, pacification, sacrifice, accommodation, and compromise.
Alfredo M. Bonanno, an Italian insurrectionary anarchist has also had an impact on this specific tendency, writing such works as Armed Joy, The Anarchist Tension, and others. Another Italian insurrectionary with great impact on anarchists was Luigi Galleani.
Insurrectionary anarchists are generally interested in class struggle. Many also identify with related theoretical positions such as anarchist communism, Situationist theory, autonomism, anarcho-primitivism, and green anarchism.