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The Condensation Lemma is a result in the context of automata theory and formal languages, particularly concerning context-free grammars and their equivalence. It mainly states conditions under which certain types of grammars can be simplified without losing their generative power. In a broader sense, the lemma is often framed as follows: 1. **Grammar Definitions**: Consider a context-free grammar (CFG) that generates a language.

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  1. Lemmas in set theory
  2. Theorems in the foundations of mathematics
  3. Foundations of mathematics
  4. Fields of mathematics
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