Ayers was and still is a communist revolutionary. He also describes himself as an anarchist. He's probably an "anarchist syndicalist", a combination of the two.
Anarcho-syndicalism
A common Anarcho-Syndicalist flag.
In the early 20th century, anarcho-syndicalism arose as a distinct school of thought within anarchism.[78] With greater focus on the labour movement than previous forms of anarchism, syndicalism posits radical trade unions as a potential force for revolutionary social change, replacing capitalism and the state with a new society, democratically self-managed by the workers.
Anarcho-syndicalists seek to abolish the wage system and private ownership of the means of production, which they believe lead to class divisions. Important principles include workers' solidarity, direct action (such as general strikes and workplace recuperations), and workers' self-management. This is compatible with other branches of anarchism, and anarcho-syndicalists often subscribe to anarchist communist or collectivist anarchist economic systems.[79] Its advocates propose labour organization as a means to create the foundations of a non-hierarchical anarchist society within the current system and bring about social revolution.
http://en.wikipedia.org/wiki/Anarchism
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"The raised fist (also known as the clenched fist) is a salute and logo most often used by left-wing activists, such as: Marxists, anarchists, socialists, communists, pacifists, trade unionists, and black nationalists. The raised fist is usually regarded as an expression of solidarity, strength or defiance."
http://en.wikipedia.org/wiki/Raised_fist
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Michelle on the night of Obama's 2008 election victory
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Anarcho-Syndicalist flag
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"This is a guy who lives in my neighborhood, who's a professor of English..."
Anarchist_flag.svg.png">
Anarcho-Syndicalist flag
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Bill Ayers: "I considered myself partly an anarchist then and I consider myself partly an anarchist now. I mean, I'm as much an anarchist as I am a Marxist which is to say I find a lot of the ideas in anarchism appealing."