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Cross-serial Dependencies
In linguistics, cross-serial dependencies (also called crossing dependencies by some authors.) occur when the lines representing the dependency relations between two series of words cross over each other.. They are of particular interest to linguists who wish to determine the syntactic structure of natural language; languages containing an arbitrary number of them are non- context-free. By this fact, Dutch. and Swiss-German. have been proven to be non-context-free. Example As Swiss-German allows verbs and their arguments to be ordered cross-serially, we have the following example, taken from Shieber: That is, "we help Hans paint the house." Notice that the sequential noun phrases ''em Hans'' (''Hans'') and ''es huus'' (''the house''), and the sequential verbs ''hälfed'' (''help'') and ''aastriiche'' (''paint'') both form two separate series of constituents. Notice also that the dative verb ''hälfed'' and the accusative verb ''aastriiche'' take the dative ''em Hans'' a ...
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Schematic Of Cross-serial Dependency
A schematic, or schematic diagram, is a designed representation of the elements of a system using abstract, graphic symbols rather than realistic pictures. A schematic usually omits all details that are not relevant to the key information the schematic is intended to convey, and may include oversimplified elements in order to make this essential meaning easier to grasp, as well as additional organization of the information. For example, a subway map intended for passengers may represent a subway station with a dot. The dot is not intended to resemble the actual station at all but aims to give the viewer information without unnecessary visual clutter. A schematic diagram of a chemical process uses symbols in place of detailed representations of the vessels, piping, valves, pumps, and other equipment that compose the system, thus emphasizing the functions of the individual elements and the interconnections among them and suppresses their physical details. In an electronic circuit d ...
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Regular Language
In theoretical computer science and formal language theory, a regular language (also called a rational language) is a formal language that can be defined by a regular expression, in the strict sense in theoretical computer science (as opposed to many modern regular expression engines, which are Regular expression#Patterns for non-regular languages, augmented with features that allow the recognition of non-regular languages). Alternatively, a regular language can be defined as a language recognised by a finite automaton. The equivalence of regular expressions and finite automata is known as Kleene's theorem (after American mathematician Stephen Cole Kleene). In the Chomsky hierarchy, regular languages are the languages generated by regular grammar, Type-3 grammars. Formal definition The collection of regular languages over an Alphabet (formal languages), alphabet Σ is defined recursively as follows: * The empty language ∅ is a regular language. * For each ''a'' ∈ Σ (''a'' ...
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Linear Context-free Rewriting System
Generalized context-free grammar (GCFG) is a grammar formalism that expands on context-free grammars by adding potentially non-context-free composition functions to rewrite rules. Head grammar (and its weak equivalents) is an instance of such a GCFG which is known to be especially adept at handling a wide variety of non-CF properties of natural language. Description A GCFG consists of two components: a set of composition functions that combine string tuples, and a set of rewrite rules. The composition functions all have the form f(\langle x_1, ..., x_m \rangle, \langle y_1, ..., y_n \rangle, ...) = \gamma, where \gamma is either a single string tuple, or some use of a (potentially different) composition function which reduces to a string tuple. Rewrite rules look like X \to f(Y, Z, ...), where Y, Z, ... are string tuples or non-terminal symbols. The rewrite semantics of GCFGs is fairly straightforward. An occurrence of a non-terminal symbol is rewritten using rewrite rules as in ...
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Context-sensitive Language
In formal language theory, a context-sensitive language is a language that can be defined by a context-sensitive grammar (and equivalently by a noncontracting grammar). Context-sensitive is known as type-1 in the Chomsky hierarchy of formal languages. Computational properties Computationally, a context-sensitive language is equivalent to a linear bounded nondeterministic Turing machine, also called a linear bounded automaton. That is a non-deterministic Turing machine with a tape of only kn cells, where n is the size of the input and k is a constant associated with the machine. This means that every formal language that can be decided by such a machine is a context-sensitive language, and every context-sensitive language can be decided by such a machine. This set of languages is also known as NLINSPACE or NSPACE(''O''(''n'')), because they can be accepted using linear space on a non-deterministic Turing machine. The class LINSPACE (or DSPACE(''O''(''n''))) is defined the same ...
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Mildly Context-sensitive Language
In computational linguistics, the term mildly context-sensitive grammar formalisms refers to several grammar formalisms that have been developed in an effort to provide adequate descriptions of the syntactic structure of natural language. Every mildly context-sensitive grammar formalism defines a class of mildly context-sensitive grammars (the grammars that can be specified in the formalism), and therefore also a class of mildly context-sensitive languages (the formal languages generated by the grammars). Background By 1985, several researchers in descriptive and mathematical linguistics had provided evidence against the hypothesis that the syntactic structure of natural language can be adequately described by context-free grammars.Riny Huybregts. "The Weak Inadequacy of Context-Free Phrase Structure Grammars". In Ger de Haan, Mieke Trommelen, and Wim Zonneveld, editors, ''Van periferie naar kern'', pages 81–99. Foris, Dordrecht, The Netherlands, 1984.Stuart M. Shieber.Evide ...
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Generalized Phrase Structure Grammar
Generalized phrase structure grammar (GPSG) is a framework for describing the syntax and semantics of natural languages. It is a type of constraint-based phrase structure grammar. Constraint based grammars are based around defining certain syntactic processes as ungrammatical for a given language and assuming everything not thus dismissed is grammatical within that language. Phrase structure grammars base their framework on constituency relationships, seeing the words in a sentence as ranked, with some words dominating the others. For example, in the sentence "The dog runs", "runs" is seen as dominating "dog" since it is the main focus of the sentence. This view stands in contrast to dependency grammars, which base their assumed structure on the relationship between a single word in a sentence (the sentence head) and its dependents. Origins GPSG was initially developed in the late 1970s by Gerald Gazdar. Other contributors include Ewan Klein, Ivan Sag, and Geoffrey Pullum. ...
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Ogden's Lemma
In the theory of formal languages, Ogden's lemma (named after William F. Ogden) is a generalization of the pumping lemma for context-free languages. Despite Ogden's lemma being a strengthening of the pumping lemma, it is insufficient to fully characterize the class of context-free languages. This is in contrast to the Myhill–Nerode theorem, which unlike the pumping lemma for regular languages is a necessary and sufficient condition for regularity. Statement We will use underlines to indicate "marked" positions. Special cases Ogden's lemma is often stated in the following form, which can be obtained by "forgetting about" the grammar, and concentrating on the language itself: If a language is context-free, then there exists some number p\geq 1 (where may or may not be a pumping length) such that for any string of length at least in and every way of "marking" or more of the positions in , can be written as :s = uvwxy with strings and , such that # has at least one mar ...
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Jeffrey D
Jeffrey may refer to: * Jeffrey (name), including a list of people with the name *Jeffrey's, Newfoundland and Labrador, Canada *Jeffrey City, Wyoming, United States *Jeffrey Street, Sydney, Australia * Jeffreys Bay, Western Cape, South Africa Art and entertainment * ''Jeffrey'' (play), a 1992 off-Broadway play by Paul Rudnick * ''Jeffrey'' (1995 film), a 1995 film by Paul Rudnick, based on Rudnick's play of the same name * ''Jeffrey'' (2016 film), a 2016 Dominican Republic documentary film * Jeffrey's sketch, a sketch on American TV show ''Saturday Night Live'' *'' Nurse Jeffrey'', a spin-off miniseries from the American medical drama series ''House, MD'' People with the surname * Alexander Jeffrey (1806–1874), Scottish solicitor and historian * Carol Jeffrey (1898–1998), English psychotherapist, writer *Charles Jeffrey (footballer) (died 1915), Scottish footballer *E. C. Jeffrey (1866–1952), Canadian-American botanist *Grant Jeffrey (1948–2012), Canadian writer * He ...
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John E
John is a common English name and surname: * John (given name) * John (surname) John may also refer to: New Testament Works * Gospel of John, a title often shortened to John * First Epistle of John, often shortened to 1 John * Second Epistle of John, often shortened to 2 John * Third Epistle of John, often shortened to 3 John People * John the Baptist (died ), regarded as a prophet and the forerunner of Jesus Christ * John the Apostle (died ), one of the twelve apostles of Jesus Christ * John the Evangelist, assigned author of the Fourth Gospel, once identified with the Apostle * John of Patmos, also known as John the Divine or John the Revelator, the author of the Book of Revelation, once identified with the Apostle * John the Presbyter, a figure either identified with or distinguished from the Apostle, the Evangelist and John of Patmos Other people with the given name Religious figures * John, father of Andrew the Apostle and Saint Peter * Pope John ...
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Formal Language
In logic, mathematics, computer science, and linguistics, a formal language is a set of strings whose symbols are taken from a set called "alphabet". The alphabet of a formal language consists of symbols that concatenate into strings (also called "words"). Words that belong to a particular formal language are sometimes called ''well-formed words''. A formal language is often defined by means of a formal grammar such as a regular grammar or context-free grammar. In computer science, formal languages are used, among others, as the basis for defining the grammar of programming languages and formalized versions of subsets of natural languages, in which the words of the language represent concepts that are associated with meanings or semantics. In computational complexity theory, decision problems are typically defined as formal languages, and complexity classes are defined as the sets of the formal languages that can be parsed by machines with limited computational power. In ...
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Linguistics
Linguistics is the scientific study of language. The areas of linguistic analysis are syntax (rules governing the structure of sentences), semantics (meaning), Morphology (linguistics), morphology (structure of words), phonetics (speech sounds and equivalent gestures in sign languages), phonology (the abstract sound system of a particular language, and analogous systems of sign languages), and pragmatics (how the context of use contributes to meaning). Subdisciplines such as biolinguistics (the study of the biological variables and evolution of language) and psycholinguistics (the study of psychological factors in human language) bridge many of these divisions. Linguistics encompasses Outline of linguistics, many branches and subfields that span both theoretical and practical applications. Theoretical linguistics is concerned with understanding the universal grammar, universal and Philosophy of language#Nature of language, fundamental nature of language and developing a general ...
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Grammatical Case
A grammatical case is a category of nouns and noun modifiers (determiners, adjectives, participles, and Numeral (linguistics), numerals) that corresponds to one or more potential grammatical functions for a Nominal group (functional grammar), nominal group in a wording. In various languages, nominal groups consisting of a noun and its modifiers belong to one of a few such categories. For instance, in English language, English, one says ''I see them'' and ''they see me'': the nominative case, nominative pronouns ''I/they'' represent the perceiver, and the accusative case, accusative pronouns ''me/them'' represent the phenomenon perceived. Here, nominative and accusative are cases, that is, categories of pronouns corresponding to the functions they have in representation. English has largely lost its inflected case system but personal pronouns still have three cases, which are simplified forms of the nominative, accusative (including functions formerly handled by the Dative case, ...
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