Languages are not just sets of symbols. They also contain a grammar, or system of rules, used to manipulate the symbols. While a set of symbols may be used for expression or communication, it is primitive and relatively unexpressive, because there are no clear or regular relationships between the symbols. Because a language also has a grammar, it can manipulate its symbols to express clear and regular relationships between them. For example, imagine going on a walk with a person who only knew individual symbols, or words. If you saw a ...

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Language, Language - Properties of language, Language - Human languages, Language - Origins of human language, Language - Language taxonomy, Language - Constructed languages, Language - The study of language, Language - Animal nonhuman language, Language - Formal languages

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Ancient Macedonian language, Ancient Macedonian language - Properties, Ancient Macedonian language - Classification, Ancient Macedonian language - Graeco-Macedonian Group, Ancient Macedonian language - Ancient Greek dialect, Ancient Macedonian language - Independent Palaeo-Balkan language, Ancient Macedonian language - Classical sources, Ancient Macedonian language - Adoption of the Attic dialect, Ancient Macedonian language - Sample glossary

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Context-Free Languages are closed under the following operations. That is, if "L" and "P" are Context-Free Languages and "D" is a Regular Language, the following languages are Context-Free as well: the Kleene star L* of L the homomorphism φ(L) of "L" the concatenation LP of L and P the union L∪P of "L" and "P" the intersection (with a Regular Language) L∩D of "L" and "D" Context-Free Languages a ...

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Context-free language, Context-free language - Examples, Context-free language - Closure Properties

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A language is a system of symbols, generally known as lexemes and the rules by which they are manipulated. The word language is also used to refer to the whole phenomenon of language, i.e., the common properties of languages. Though language is commonly used for communication, it is not synonymous with it. Human language is a natural phenomenon, and language learning is instinctive in childhood. In their natural form, human languages use patterns of sound or gesture for the symbols in order to communicate with others through the senses. Though there are thousands of human languages, they all share a number of prope ...

Including:

Language - Properties of language Language - Human languages
Language - Origins of human language Language - Language taxonomy Language - Constructed languages
Language - The study of language Language - Animal nonhuman language Language - Formal languages

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There are two equivalent major definitions for the concept of a recursive language: A recursive formal language is a recursive subset in the set of all possible words over the alphabet of the language. A recursive language is a formal language for which there exists a Turing machine which will, when presented with any input string, halt and accept if the string is in the language, and halt and reject otherwise. The Turing machine always halts; it is known as a decider and is sa ...

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Recursive language, Recursive language - Definitions, Recursive language - Properties

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The collection of regular languages over an alphabet Σ is defined recursively as follows: the empty language Ø is a regular language. the empty string language { ε } is a regular language. For each a ∈ Σ, the singleton language { a } is a regular language. If A and B are regular languages, then A U B (union), A • B (concatenation), and A* (Kleene star) are reg ...

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Regular language, Regular language - Regular languages over an alphabet, Regular language - Closure Properties, Regular language - Deciding whether a language is regular, Regular language - External resources

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A writing system, also called a script, is a type of symbolic system used to represent elements or statements expressible in language. Writing system - General properties. Writing systems are distinguished from other possible symbolic communication systems in that one must usually understand something of the associated language in order to successfully read and comprehend the text. Contrast this with other possible symbolic systems such as information signs, painting, maps, and mathematics, which do ...

Including:

Writing system - General properties Writing system - Basic terminology Writing system - History of writing systems Writing system - Types of writing system
Writing system - Logographic writing systems Writing system - Syllabic writing systems Writing system - Alphabetic writing systems Writing system - Featural writing systems
Writing system - Directionality

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In linguistics and computer science, a context-free grammar (CFG) is a formal grammar in which every production rule is of the form V → w where V is a non-terminal symbol and w is a string consisting of terminals and/or non-terminals. The term "context-free" comes from the fact that the non-terminal V can always be replaced by w, regardless of the context in which it occurs. A formal language is context ...

Including:

Context-free grammar - Formal definition Context-free grammar - Examples
Context-free grammar - Example 1 Context-free grammar - Example 2 Context-free grammar - Example 3 Context-free grammar - Example 4 Context-free grammar - Other examples
Context-free grammar - Derivations and syntax trees Context-free grammar - Normal forms Context-free grammar - Undecidable problems Context-free grammar - Properties of context-free languages

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In linguistics, an auxiliary or helping verb is a verb whose function it is to give further semantic information about the main or full verb which follows it. In English, the extra meaning an auxiliary verb imparts alters the basic form of the main verb to have one or more of the following functions: passive, progressive, perfective, modal, or dummy. Auxiliary verb - Introduction. In stricter linguistic terms than the simple definition above: Ev ...

Including:

Auxiliary verb - Introduction Auxiliary verb - Functions of the English auxiliary verb
Auxiliary verb - Passive Auxiliary verb - Progressive Auxiliary verb - Perfective Auxiliary verb - Modal Auxiliary verb - Dummy Auxiliary verb - Quasi-auxiliaries
Auxiliary verb - Properties of the English auxiliary verb
Auxiliary verb - Negation Auxiliary verb - Inversion Auxiliary verb - Emphasis Auxiliary verb - Ellipsis
Auxiliary verb - Other languages Auxiliary verb - Reference

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There exist three equivalent major definitions for the concept of a recursively enumerable language. A recursively enumerable formal language is a recursively enumerable subset in the set of all possible words over the alphabet of the language. A recursively enumerable language is a formal language for which there exists a Turing machine (or other computable function) which will enumerate all valid strings of the language. Note that, if the language is infinite, the enumerating algorithm provided can be chosen so that i ...

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Recursively enumerable language, Recursively enumerable language - Definitions, Recursively enumerable language - Properties

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Boolean logic, is a complete system for logical operations. It was named after George Boole, an English mathematician at University College Cork who first defined an algebraic system of logic in the mid 19th century. Boolean logic has many applications in electronics, computer hardware and software. In 1938, Claude Shannon showed how electric circuits with relays were a model for Boolean logic. This fact soon proved enormously conseque ...

Including:

Boolean logic - Terms Boolean logic - Example Boolean logic - Chaining operations together
Boolean logic - Use of parentheses
Boolean logic - Properties Boolean logic - Truth tables Boolean logic - Other notation Boolean logic - Basic mathematics use of Boolean terms Boolean logic - English language use of Boolean terms Boolean logic - Applications
Boolean logic - Digital electronic circuit design Boolean logic - Database applications Boolean logic - Search engine queries

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In the context of hardware and software systems, formal verification is the act of proving or disproving the correctness of a system with respect to a certain formal specification or property, using formal methods. Software testing cannot prove that a system has no defects. Only the process of formal verification can prove that a system has no defects. That said, since the proofs or proof engines themselves are typically complex systems constructed by fallible humans, we are ...

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Formal verification - Validation and Verification

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An sich is an expression borrowed from German language. Its translation is "as such", "in itself", or per se. Despite having an adequate translation, the term is used in philosophical contexts as a professional jargon to avoid ambiguity of the general language. The expression "something an sich" means that the discussed "something" is considered only in relation to its intrinsic propertie ...

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National languages of India are in boldface: Dravidian languages - Southern. Tamil Kannada Malayalam Tulu Bellari Toda Kota Koraga Badaga Kurumba Irula Kodava Thakk (Kodagu) Dravidian languages - South Central. Telugu Gondi Abujmaria Koya Ko ...

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Dravidian languages, Dravidian languages - History, Dravidian languages - List of Dravidian languages, Dravidian languages - Southern, Dravidian languages - South Central, Dravidian languages - Central, Dravidian languages - Northern, Dravidian languages - Phonology, Dravidian languages - Reversal property, Dravidian languages - Words starting with vowels, Dravidian languages - Sanskrit influence

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Let Σ = { [, ] } be the alphabet consisting of the symbols [ and ] and let Σ∗ denote its Kleene closure. For any element u ∈ Σ∗ with length |u| we define partial functions insert : Σ∗ × (N ∪ {0}) → Σ∗ and delete : Σ∗ × N → Σ∗ by insert(u, j) = u with "[]" inserted into the jth position delete(u, j) = u wi ...

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Dyck language, Dyck language - Formal definition, Dyck language - Properties, Dyck language - Reference

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To locate the regular languages in the Chomsky hierarchy, one notices that every regular language is context-free. The converse is not true: for example the language consisting of all strings having the same number of a's as b's is context-free but not regular. To prove that a language such as this is not regular, one uses the Myhill-Nerode theorem or the pumping lemma. There are two purely algebraic approaches to defining regular languages. If Σ is a finite alphabet and Σ* denotes the free monoid over Σ consisting of ...

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Regular language, Regular language - Regular languages over an alphabet, Regular language - Closure Properties, Regular language - Deciding whether a language is regular, Regular language - External resources

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National languages of India are in boldface: Dravidian languages - Southern. Tamil Kannada Malayalam Tulu Bellari Toda Kota Koraga Badaga Kurumba Irula Kodava Thakk (Kodagu) Dravidian languages - South Central. Telugu Gondi Abujmaria Koya Ko ...

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Dravidian languages, Dravidian languages - History, Dravidian languages - List of Dravidian languages, Dravidian languages - Southern, Dravidian languages - South Central, Dravidian languages - Central, Dravidian languages - Northern, Dravidian languages - Phonology, Dravidian languages - Reversal property, Dravidian languages - Words starting with vowels, Dravidian languages - Numbers, Dravidian languages - Sanskrit influence

Read more here: » Dravidian languages: Encyclopedia II - Dravidian languages - List of Dravidian languages

The origins of the Dravidian languages, as well as their subsequent development and the period of their differentiation, are unclear, and the situation is not helped by the lack of comparative linguistic research into the Dravidian languages. There are striking similarities between the Dravidian and Uralic and Altaic language groups, which suggest prolonged contact between the language families at some stage although a common origin appears unlikely. Inconclusive attempts have also been made to link the family with the Japonic languages, Basque, Korean, Sumerian, the Australian Aboriginal languages and the unk ...

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Dravidian languages, Dravidian languages - History, Dravidian languages - List of Dravidian languages, Dravidian languages - Southern, Dravidian languages - South Central, Dravidian languages - Central, Dravidian languages - Northern, Dravidian languages - Phonology, Dravidian languages - Reversal property, Dravidian languages - Words starting with vowels, Dravidian languages - Numbers, Dravidian languages - Sanskrit influence

Read more here: » Dravidian languages: Encyclopedia II - Dravidian languages - History

The origins of the Dravidian languages, as well as their subsequent development and the period of their differentiation, are unclear, and the situation is not helped by the lack of comparative linguistic research into the Dravidian languages. There are striking similarities between the Dravidian and Uralic and Altaic language groups, which suggest prolonged contact between the language families at some stage although a common origin appears unlikely. Inconclusive attempts have also been made to link the family with the Japonic languages, Basque, Korean, Sumerian, the Australian Aboriginal languages and the unk ...

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Dravidian languages, Dravidian languages - History, Dravidian languages - List of Dravidian languages, Dravidian languages - Southern, Dravidian languages - South Central, Dravidian languages - Central, Dravidian languages - Northern, Dravidian languages - Phonology, Dravidian languages - Reversal property, Dravidian languages - Words starting with vowels, Dravidian languages - Sanskrit influence

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Logo is an interpreted language. It is not case dependent, but retains the case used for formatting. It is written in lines. It is a compromise between a sequential programming language with block structures, and a functional programming language. There is no 'standard' LOGO, but UCBLogo is highly regarded. It is a teaching language but its list handling facilities make it remarkably useful for producing useful scripts. Lo ...

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Logo programming language, Logo programming language - History of Logo, Logo programming language - Implementations of Logo, Logo programming language - Logo programming, Logo programming language - Turtle programming, Logo programming language - The language, Logo programming language - Functions and procedures, Logo programming language - Data, Logo programming language - Lists, Logo programming language - Control structure commands, Logo programming language - Template iteration, Logo programming language - Property Lists, Logo programming language - I/O Commands, Logo programming language - Graphics, Logo programming language - MSWLogo extensions, Logo programming language - Hello World, Logo programming language - Bibliography

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