Sorry to rain on your post cat but Grok seems to disagree with you,
Yes, socialism is an important—and in many interpretations, essential—part of communism, particularly in Marxist theory, which has heavily influenced modern understandings of both terms.
Classical Marxist View (Karl Marx and Friedrich Engels)
Marx and Engels used "socialism" and "communism" interchangeably in works like The Communist Manifesto (184

. They described the post-capitalist society as communist, without a clear distinction. In Marx's Critique of the Gotha Programme (1875), he outlined two phases of communist society:
Lower phase — Society still bears marks of capitalism (e.g., distribution "to each according to his contribution," with some inequalities).
Higher phase — A fully developed classless, stateless society with distribution "to each according to his needs," abundance, and no money or state.
Marx did not label the lower phase "socialism."
Later Marxist-Leninist Interpretation
Vladimir Lenin, in The State and Revolution (1917), popularized the distinction:
Socialism is the lower or first phase of communism: the transitional stage after the proletarian revolution, where the state (as a dictatorship of the proletariat) exists, classes are abolished, means of production are socially owned, but distribution is based on work contributed.
Communism is the higher phase: stateless, classless, moneyless, with full abundance.
This view became standard in Marxist-Leninist traditions (e.g., USSR, China), where countries like the Soviet Union described themselves as "socialist" (building toward communism). Socialism here is crucial as the necessary foundation and pathway to achieve full communism.
Broader or Non-Marxist Views
Outside strict Marxism, socialism is often seen as distinct and not necessarily leading to communism:
It can involve mixed economies, democratic processes, private property alongside public ownership, and gradual reforms (e.g., democratic socialism in Nordic countries or social democracy).
Communism is viewed as more radical: aiming for complete abolition of private property, classes, money, and the state, often through revolution.
In these contexts, socialism is not "part" of communism but a separate ideology sharing roots in opposing capitalism and seeking greater equality.
Summary
In the dominant theoretical framework influencing communist movements (Marxism-Leninism), socialism is fundamentally important as the initial, transitional stage required to build communism. Without socialism, communism cannot be reached, as it develops the productive forces and eliminates capitalist remnants. In other usages, the terms are more separate, with socialism as a milder alternative. The confusion stems from historical shifts in terminology after Marx's death.
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