A **recursively enumerable language** (often abbreviated as RE language) is a type of formal language that can be recognized by a Turing machine. Here are some key characteristics and definitions related to recursively enumerable languages: 1. **Turing Machines**: A Turing machine is a theoretical computational model that can simulate any algorithm's logic.
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There is a Turing machine that halts for every member of the language with the answer yes, but does not necessarily halt for non-members.