Web Reference: Closure Under Complementation The complement of a language L (with respect to an alphabet Σ such that Σ* contains L) is Σ* – L. Since Σ* is surely regular, the complement of a regular language is always regular. Jul 12, 2025 · A closure property is a characteristic of a class of languages (such as regular, context-free, etc.) where applying a specific operation (like union, intersection, concatenation, etc.) to languages within that class results in a language that is also within the same class. Mar 30, 2023 · Consider regular languages \ (L_1\) and \ (L_2\). In other words, \ (\exists\) regular expressions \ (r_1\) and \ (r_2\) such that \ (L_1 = L (r_1)\) and \ (L_2 = L (r_2)\).
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