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30 relations: Abstract family of languages, Addison-Wesley, Algebraic structure, Associative property, Automata theory, Cartesian product, Closure (mathematics), Commutative property, Computer science, Concatenation, Countable set, Empty set, Empty string, Finite set, Formal language, Free monoid, Generative grammar, Introduction to Automata Theory, Languages, and Computation, Mathematical logic, Monoid, New York City, Regular expression, Rewriting, Semiring, Set (mathematics), Springer Science+Business Media, Stephen Cole Kleene, String (computer science), Subset, Unary operation.
Abstract family of languages
In computer science, in particular in the field of formal language theory, the term abstract family of languages refers to an abstract mathematical notion generalizing characteristics common to the regular languages, the context-free languages and the recursively enumerable languages, and other families of formal languages studied in the scientific literature.
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Addison-Wesley
Addison-Wesley is a publisher of textbooks and computer literature.
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Algebraic structure
In mathematics, and more specifically in abstract algebra, an algebraic structure on a set A (called carrier set or underlying set) is a collection of finitary operations on A; the set A with this structure is also called an algebra.
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Associative property
In mathematics, the associative property is a property of some binary operations.
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Automata theory
Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them.
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Cartesian product
In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.
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Closure (mathematics)
A set has closure under an operation if performance of that operation on members of the set always produces a member of the same set; in this case we also say that the set is closed under the operation.
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Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
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Computer science
Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.
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Concatenation
In formal language theory and computer programming, string concatenation is the operation of joining character strings end-to-end.
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Countable set
In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.
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Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
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Empty string
In formal language theory, the empty string, or empty word is the unique string of length zero.
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Finite set
In mathematics, a finite set is a set that has a finite number of elements.
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Formal language
In mathematics, computer science, and linguistics, a formal language is a set of strings of symbols together with a set of rules that are specific to it.
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Free monoid
In abstract algebra, the free monoid on a set is the monoid whose elements are all the finite sequences (or strings) of zero or more elements from that set, with string concatenation as the monoid operation and with the unique sequence of zero elements, often called the empty string and denoted by ε or λ, as the identity element.
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Generative grammar
Generative grammar is a linguistic theory that regards grammar as a system of rules that generates exactly those combinations of words that form grammatical sentences in a given language.
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Introduction to Automata Theory, Languages, and Computation
Introduction to Automata Theory, Languages, and Computation is an influential computer science textbook by John Hopcroft and Jeffrey Ullman on formal languages and the theory of computation.
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Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.
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Monoid
In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element.
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New York City
The City of New York, often called New York City (NYC) or simply New York, is the most populous city in the United States.
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Regular expression
A regular expression, regex or regexp (sometimes called a rational expression) is, in theoretical computer science and formal language theory, a sequence of characters that define a search pattern.
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Rewriting
In mathematics, computer science, and logic, rewriting covers a wide range of (potentially non-deterministic) methods of replacing subterms of a formula with other terms.
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Semiring
In abstract algebra, a semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.
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Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
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Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
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Stephen Cole Kleene
Stephen Cole Kleene (January 5, 1909 – January 25, 1994) was an American mathematician.
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String (computer science)
In computer programming, a string is traditionally a sequence of characters, either as a literal constant or as some kind of variable.
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Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
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Unary operation
In mathematics, a unary operation is an operation with only one operand, i.e. a single input.
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References
[1] https://en.wikipedia.org/wiki/Kleene_star
