Revision as of 03:07, 9 May 2025 edit Nyngwang (talk \| contribs) 437 edits →Definitions: remove uncommon usage "recursive formal language"; remove distracting references "set", "subset"; link "words"; link "alphabet" more precisely. ← Previous edit		Revision as of 03:20, 9 May 2025 edit undo Nyngwang (talk \| contribs) 437 edits →Definitions: use the definition from the textbook by Sipser. Next edit →
Line 14: # A recursive language is a [[recursive set\|recursive]] subset of the set of all possible finite-length [[formal language\|words]] over an [[alphabet (formal languages)\|alphabet]]. # A recursive language is a formal language for which there exists a [[Turing machine]] that~~, when presented with any finite input~~ [[~~literal string\|string]], halts and accepts if the string is in the language, and halts and rejects otherwise. The~~decider (Turing machine ~~always halts: it is known as a [[Machine that always halts~~)\|~~decider~~decides]] ~~and is said to ''decide'' the recursive language~~it. By the second definition, any [[decision problem]] can be shown to be decidable by exhibiting an [[algorithm]] for it that terminates on all inputs. An [[undecidable problem]] is a problem that is not decidable.

Recursive language: Difference between revisions