A recursively enumerable language is a formal language for which there exists a Turing machine (or other computable function) that will halt and accept when presented with any string in the language as input but may either halt and reject or loop forever when presented with a string not in the language.

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Phrase Structure Grammars and Context Sensitive Grammars
A site which shows that the languages generated by phrase structure grammars are recursively enumerable languages. Similarly, it shows that the languages generated by context sensitive grammars are accepted by linear bounded automata.
Recursively Enumerable Language
Wikipedia offers 3 equivalent definitions of recursively enumerable languages and states closure properties for certain operations.
Recursively Enumerable Languages
This site discusses denumerable sets and recursive and recursively enumerable languages
Recursively Enumerable Languages
This chapter shows that the family of regular languages is a proper subset of context free languages and the latter is a proper subset of recursively enumerable languages.
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