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Computability theory (6,425 words) [view diff] no match in snippet view article find links to article

Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated

Emil Leon Post (1,397 words) [view diff] no match in snippet view article find links to article

best known for his work in the field that eventually became known as computability theory. Post was born in Augustów, Suwałki Governorate, Congress Poland

Formal language (3,163 words) [view diff] no match in snippet view article find links to article

expensive). Therefore, formal language theory is a major application area of computability theory and complexity theory. Formal languages may be classified in

Computable number (3,269 words) [view diff] no match in snippet view article find links to article

was introduced by Émile Borel in 1912, using the intuitive notion of computability available at the time. Equivalent definitions can be given using μ-recursive

Halting problem (7,356 words) [view diff] no match in snippet view article find links to article

In computability theory, the halting problem is the problem of determining, from a description of an arbitrary computer program and an input, whether

Mathematical logic (8,370 words) [view diff] no match in snippet view article find links to article

theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic commonly addresses the mathematical

Alonzo Church (2,245 words) [view diff] no match in snippet view article find links to article

and Russellian intensional logics, are more than sufficient to place him high up among the most important philosophers of this century. — C. Anthony Anderson

Martin Davis (mathematician) (1,305 words) [view diff] no match in snippet view article

mathematician and computer scientist who contributed to the fields of computability theory and mathematical logic. His work on Hilbert's tenth problem led

Classification of manifolds (2,310 words) [view diff] no match in snippet view article find links to article

geometric structure; high-dimensional manifolds are classified algebraically, by surgery theory. "Low dimensions" means dimensions up to 4; "high dimensions" means

Wilhelm Ackermann (425 words) [view diff] no match in snippet view article find links to article

axiomatization of set theory (1956). Later in life, Ackermann continued working as a high school teacher. He kept engaged in the field of research and published many

William Gasarch (714 words) [view diff] no match in snippet view article find links to article

computer scientist known for his work in computational complexity theory, computability theory, computational learning theory, and Ramsey theory. He is currently

Hyperarithmetical theory (2,292 words) [view diff] no match in snippet view article find links to article

In computability theory, hyperarithmetic theory is a generalization of Turing computability. It has close connections with definability in second-order

S. Barry Cooper (589 words) [view diff] no match in snippet view article find links to article

(9 October 1943 – 26 October 2015) was an English mathematician and computability theorist. He was a professor of pure mathematics at the University of

Louise Hay (mathematician) (782 words) [view diff] no match in snippet view article

Taft High School in the Bronx and won a Westinghouse Science Talent Search award during her senior year. Graduating as valedictorian of her high school

Spin model (543 words) [view diff] no match in snippet view article find links to article

models. Spin models are also used in quantum information theory and computability theory in theoretical computer science. The theory of spin models is

Alan Turing (15,046 words) [view diff] no match in snippet view article find links to article

544. Turing 1937 B. Jack Copeland; Carl J. Posy; Oron Shagrir (2013). Computability: Turing, Gödel, Church, and Beyond. MIT Press. p. 211. ISBN 978-0-262-01899-9

Abstract machine (2,698 words) [view diff] no match in snippet view article find links to article

abstract machines are often used in thought experiments regarding computability or to analyse the complexity of algorithms. This use of abstract machines

Quantum computing (12,460 words) [view diff] no match in snippet view article find links to article

Quantum advantage comes in the form of time complexity rather than computability, and quantum complexity theory shows that some quantum algorithms are

Julia Robinson (2,184 words) [view diff] no match in snippet view article find links to article

American mathematician noted for her contributions to the fields of computability theory and computational complexity theory—most notably in decision

Post correspondence problem (2,521 words) [view diff] no match in snippet view article find links to article

still decidable but, because of the added regular constraint, it has a very high complexity that dominates every multiply recursive function. The Identity

Marian Pour-El (1,211 words) [view diff] no match in snippet view article find links to article

and Hilary Putnam.[P] In a 1974 publication, she studied analogues of computability for analog computers. She proved that, for her formulation of this problem

K-trivial set (1,837 words) [view diff] no match in snippet view article find links to article

studied in the field of algorithmic randomness, which is a subfield of Computability theory and related to algorithmic information theory in computer science

Black swan theory (2,648 words) [view diff] no match in snippet view article find links to article

expectations in history, science, finance, and technology. The non-computability of the probability of consequential rare events using scientific methods

Alfred Tarski (5,757 words) [view diff] no match in snippet view article find links to article

was not uncommon for European intellectuals of research caliber to teach high school. Hence until his departure for the United States in 1939, Tarski not

Hilbert's tenth problem (3,277 words) [view diff] no match in snippet view article find links to article

of computability theory (also known as recursion theory) that provided a precise explication of the intuitive notion of algorithmic computability, thus

Ackermann function (7,095 words) [view diff] no match in snippet view article find links to article

In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable

Solomon Feferman (1,342 words) [view diff] no match in snippet view article find links to article

logic. In addition to his prolific technical work in proof theory, computability theory, and set theory, he was known for his contributions to the history

Counter machine (4,660 words) [view diff] no match in snippet view article find links to article

Boolos, George; Burgess, John P.; Jeffrey, Richard (2007) [1974]. Computability and Logic (5th ed.). Cambridge, England: Cambridge University Press

Logic in computer science (1,835 words) [view diff] no match in snippet view article find links to article

Some of the key areas of logic that are particularly significant are computability theory (formerly called recursion theory), modal logic and category

Theoretical computer science (4,803 words) [view diff] no match in snippet view article find links to article

mechanism is addressed by, exploring nature with help the ideas of computability, and studying natural processes as computations (information processing)

Enumeration algorithm (1,189 words) [view diff] no match in snippet view article find links to article

of enumeration algorithms is also used in the field of computability theory to define some high complexity classes such as RE, the class of all recursively

Robert W. Floyd (1,171 words) [view diff] no match in snippet view article find links to article

Beigel, of the textbook The Language of Machines: an Introduction to Computability and Formal Languages. Floyd supervised seven Ph.D. graduates. Floyd

Algorithm (6,907 words) [view diff] no match in snippet view article find links to article

Medium is the message Regulation of algorithms Theory of computation Computability theory Computational complexity theory "Definition of ALGORITHM". Merriam-Webster

Norman Shapiro (806 words) [view diff] no match in snippet view article find links to article

reducibility" for a computability theory currently called the many-one reduction. His thesis was titled Degrees of Computability and was published in

Pointer machine (1,556 words) [view diff] no match in snippet view article find links to article

machine"?, SIGACT News (ACM Special Interest Group on Automata and Computability Theory)", volume 26, 1995. Wherein Ben-Amram describes the types and

Elementary function arithmetic (875 words) [view diff] no match in snippet view article find links to article

computability theory Reverse mathematics – Branch of mathematical logic Ordinal analysis – Mathematical technique used in proof theory Tarski's high school

Malament–Hogarth spacetime (1,005 words) [view diff] no match in snippet view article find links to article

ISSN 0894-9875. Hogarth, Mark (1994). "Non-Turing Computers and Non-Turing Computability". PSA: Proceedings of the Biennial Meeting of the Philosophy of Science

Algorithm characterizations (8,991 words) [view diff] no match in snippet view article find links to article

theory of Turing machine computability, J. SIAM 7, 114-130.) In his 1967 Theory of Recursive Functions and Effective Computability Hartley Rogers' characterizes

Incompressibility method (3,534 words) [view diff] no match in snippet view article find links to article

compressed below the Kolmogorov complexity of a uniformly-random arrangement (high Kolmogorov complexity). This proves that for the overwhelming majority of

Algorithmic probability (2,734 words) [view diff] no match in snippet view article find links to article

to a universal Turing machine). The prior is universal in the Turing-computability sense, i.e. no string has zero probability. It is not computable, but

List of pioneers in computer science (1,578 words) [view diff] no match in snippet view article find links to article

to theoretical computer science, specifically in the development of computability theory in the form of lambda calculus. Independently of Alan Turing

Malware research (1,112 words) [view diff] no match in snippet view article find links to article

program could reproduce itself. This constituted a plausibility result in computability theory. Fred Cohen experimented with computer viruses and confirmed

Gödel's incompleteness theorems (12,173 words) [view diff] no match in snippet view article find links to article

second sense, which will not be discussed here, is used in relation to computability theory and applies not to statements but to decision problems, which

History of logic (13,249 words) [view diff] no match in snippet view article find links to article

inter-related but separate areas of research: model theory, proof theory, computability theory, and set theory, and its ideas and methods began to influence

Higher-order logic (1,066 words) [view diff] no match in snippet view article find links to article

Transfer principle Truth predicate Truth value Type Ultraproduct Validity Computability theory Church encoding Church–Turing thesis Computably enumerable Computable

Scott Aaronson (1,444 words) [view diff] no match in snippet view article find links to article

Beaver Numbers as described by Tibor Radó to illustrate the limits of computability in a pedagogic environment. He has also taught a graduate-level survey

Discrete mathematics (2,771 words) [view diff] no match in snippet view article find links to article

theoretical computer science is the study of algorithms and data structures. Computability studies what can be computed in principle, and has close ties to logic

Foundations of mathematics (6,910 words) [view diff] no match in snippet view article find links to article

mathematical logic that includes set theory, model theory, proof theory, computability and computational complexity theory, and more recently, parts of computer

List of computer scientists (5,232 words) [view diff] no match in snippet view article find links to article

automata theory, AFL theory, database theory Robert L. Glass Kurt Gödel – computability; not a computer scientist per se, but his work was invaluable in the

Limits of computation (1,211 words) [view diff] no match in snippet view article find links to article

theoretical computer science the computability and complexity of computational problems are often sought-after. Computability theory describes the degree to

CE (645 words) [view diff] no match in snippet view article find links to article

last number entered Computably enumerable, a property of some sets in computability theory, abbreviated c.e. Computer engineering, a branch of engineering

SMN (159 words) [view diff] no match in snippet view article find links to article

tumor Seri Maharaja Mangku Negara, a Malaysian honour S-m-n theorem, a computability theorem regarding programming languages Servicio Meteorológico Nacional

Orchestrated objective reduction (5,286 words) [view diff] no match in snippet view article find links to article

interpretation of Gödel's theorem; Penrose's abductive reasoning linking non-computability to quantum events; and the brain's unsuitability to host the quantum

S2S (mathematics) (4,618 words) [view diff] no match in snippet view article

of possible states of M, and node creation and deletion based on reaching high priority states. For details, see or. Decidability of acceptance: Acceptance

Function (mathematics) (11,413 words) [view diff] no match in snippet view article

the major open problems in mathematics, the Riemann hypothesis. In computability theory, a general recursive function is a partial function from the

BQP (3,518 words) [view diff] no match in snippet view article find links to article

original on 2022-10-09. L. Adleman, J. DeMarrais, and M.-D. Huang. Quantum computability. SIAM J. Comput., 26(5):1524–1540, 1997. George, Michael Goderbauer

PCP (469 words) [view diff] no match in snippet view article find links to article

default gateways Post correspondence problem, an important problem in computability theory Primary Control Program, an option in OS/360 Principia Cybernetica

List of computer science conferences (1,351 words) [view diff] no match in snippet view article find links to article

theoretical computer science, including algorithms, data structures, computability, computational complexity, automata theory and formal languages: CCC

MOC (303 words) [view diff] no match in snippet view article find links to article

generator used by the Qt development framework Model of computation, in computability theory Music on Console, a console audio player Mars Orbiter Camera

Oracle (disambiguation) (704 words) [view diff] no match in snippet view article

early computer Oracle machine, or oracle, in complexity theory and computability theory Blockchain oracle, a service that connects smart contracts with

Resultant (8,057 words) [view diff] no match in snippet view article find links to article

number of steps. However, the generic resultant is a polynomial of very high degree (exponential in n) depending on a huge number of indeterminates. It

♯P (944 words) [view diff] no match in snippet view article find links to article

hash lemma. Computer programming portal Quantum_computing#Relation_to_computability_and_complexity_theory – Computer hardware technology that uses quantum

Programming language theory (1,613 words) [view diff] no match in snippet view article find links to article

addition, PLT makes use of many other branches of mathematics, including computability theory, category theory, and set theory. Formal semantics is the formal

Half-integer (802 words) [view diff] no match in snippet view article find links to article

ISBN 9783110221848. Boolos, George; Burgess, John P.; Jeffrey, Richard C. (2002). Computability and Logic. Cambridge University Press. p. 105. ISBN 9780521007580. Baez

Automated theorem proving (2,933 words) [view diff] no match in snippet view article find links to article

on the one hand gave two independent but equivalent definitions of computability, and on the other gave concrete examples of undecidable questions. In

Computer science (6,673 words) [view diff] no match in snippet view article find links to article

perform those computations. In an effort to answer the first question, computability theory examines which computational problems are solvable on various

Turing Award (3,581 words) [view diff] no match in snippet view article find links to article

4, 2023. Retrieved June 3, 2015. Homer, Steven and Alan L. (2001). Computability and Complexity Theory. Springer. p. 35. ISBN 978-0-387-95055-6. Archived

Ada Lovelace (9,654 words) [view diff] no match in snippet view article find links to article

Computability". Ada Lovelace Day. FindingAda.com. 31 January 2016. Retrieved 11 January 2016. "The Ada Lovelace Bicentenary Lectures on Computability"

Church's (disambiguation) (104 words) [view diff] no match in snippet view article

Entscheidungsproblem by Alonso Church Church's thesis, a hypothesis in computability theory about functions whose values are algorithmically computable Church's

Complexity class (10,382 words) [view diff] no match in snippet view article find links to article

language (recall that "problem" and "language" are largely synonymous in computability and complexity theory) if it accepts all inputs that are in the language

Logical conjunction (1,465 words) [view diff] no match in snippet view article find links to article

logical conjunction works exactly like normal arithmetic multiplication. In high-level computer programming and digital electronics, logical conjunction is

Process calculus (2,452 words) [view diff] no match in snippet view article find links to article

only finite interaction and are consequently insufficient for full computability, which includes non-terminating behaviour. Recursion and replication

Solomonoff's theory of inductive inference (2,104 words) [view diff] no match in snippet view article find links to article

that Solomonoff's induction is uncomputable. In fact, he showed that computability and completeness are mutually exclusive: any complete theory must be

Yuri Matiyasevich (1,057 words) [view diff] no match in snippet view article find links to article

Department of St. Petersburg State University without exams. He took his high school diploma exams as a first-year student. Being a second-year student

Heidelberg University Faculty of Mathematics and Computer Science (363 words) [view diff] no match in snippet view article find links to article

founded. Today, areas of research include: Computability and computational complexity theory Efficient use of high-power computing systems Development, administration

Pairing-based cryptography (1,150 words) [view diff] no match in snippet view article find links to article

bQ\right)=e\left(P,Q\right)^{ab}} Non-degeneracy e ≠ 1 {\displaystyle e\neq 1} Computability There exists an efficient algorithm to compute e {\displaystyle e}

Outline of academic disciplines (4,327 words) [view diff] no match in snippet view article find links to article

verification) Theory of computation Automata theory (Formal languages) Computability theory Computational complexity theory Concurrency theory VLSI design

Computer graphics lighting (2,794 words) [view diff] no match in snippet view article find links to article

NVIDIA Developer. 2018-03-06. Retrieved 2019-11-08. Reif, J. H. (1994). "Computability and Complexity of Ray Tracing"(PDF). Discrete and Computational Geometry

Thought experiment (8,189 words) [view diff] no match in snippet view article find links to article

Philosophers (computer science) Halting problem (limits of computability) Turing machine (limits of computability) Two Generals' Problem Broken window fallacy (law

Constructor theory (1,025 words) [view diff] no match in snippet view article find links to article

differences between quantum and classical information. Calculating Space Computability theory Undecidable problem Quantum circuit Generalized probabilistic

Hill Tinsley Medal (116 words) [view diff] no match in snippet view article find links to article

nanoplasmonics 2013 Noam Greenberg Victoria University of Wellington Theory of computability 2014 Merryn Gott University of Auckland How to reduce suffering at the

Negation (2,236 words) [view diff] no match in snippet view article find links to article

failure NOT gate Plato's beard Square of opposition Virtually all Turkish high school math textbooks use p' for negation due to the books handed out by

Linearizability (3,291 words) [view diff] no match in snippet view article find links to article

1145/78969.78972. S2CID 228785. Shavit, Nir; Taubenfel, Gadi (2016). "The Computability of Relaxed Data Structures: Queues and Stacks as Examples" (PDF). Distributed

Computer (14,125 words) [view diff] no match in snippet view article find links to article

organizations, clubs and societies of both a formal and informal nature. Computability theory Computer security Glossary of computer hardware terms History

Proof theory (2,666 words) [view diff] no match in snippet view article find links to article

practice are unlike the formal proofs of proof theory. They are rather like high-level sketches that would allow an expert to reconstruct a formal proof at

Data type (3,407 words) [view diff] no match in snippet view article find links to article

possible data types are often restricted by considerations of simplicity, computability, or regularity. An explicit data type declaration typically allows the

Semantic gap (1,265 words) [view diff] no match in snippet view article find links to article

computation itself is not formally deducible, moreover it depends on the computability of the underlying problem. Tasks, such as the halting problem, may be

Switch statement (2,728 words) [view diff] no match in snippet view article find links to article

ISBN 0-7204-2103-9 George Boolos, John Burgess, and Richard Jeffrey, 2002, Computability and Logic: Fourth Edition, Cambridge University Press, Cambridge UK

Indicator function (2,543 words) [view diff] no match in snippet view article find links to article

Company. Boolos, George; Burgess, John P.; Jeffrey, Richard C. (2002). Computability and Logic. Cambridge UK: Cambridge University Press. ISBN 978-0-521-00758-0

Algorithmically random sequence (4,904 words) [view diff] no match in snippet view article find links to article

intuitive notion of a function being "computable". Like how Turing-computability has many equivalent definitions, Martin-Löf randomness also has many

Abstract interpretation (2,924 words) [view diff] no match in snippet view article find links to article

be made between the precision of the analysis and its decidability (computability), or tractability (computational cost). In practice the abstractions

Yuri Gurevich (836 words) [view diff] no match in snippet view article find links to article

1(1), 2000. N. Dershowitz and Y. Gurevich. A natural axiomatization of computability and proof of Church’s Thesis. Bulletin of Symbolic Logic 14:3, 2008

Ubiquitous computing (1,967 words) [view diff] no match in snippet view article find links to article

is the widespread diffusion of mobile phones. Many mobile phones support high speed data transmission, video services, and other services with powerful

Rutherford Discovery Fellowships (431 words) [view diff] no match in snippet view article find links to article

University of Wellington Effective randomness, lowness notions and higher computability Jennifer Hay University of Canterbury Episodic word memory Eric Le Ru

Hilary Putnam (8,912 words) [view diff] no match in snippet view article find links to article

on previous research by Putnam, Julia Robinson and Martin Davis. In computability theory, Putnam investigated the structure of the ramified analytical

Universe (mathematics) (2,649 words) [view diff] no match in snippet view article

discussion of SN goes beyond the "ordinary", into metamathematics. But if high-powered set theory is brought in, the superstructure process above reveals

Richardson's theorem (701 words) [view diff] no match in snippet view article find links to article

equals zero Elementary function – A kind of mathematical function Tarski's high school algebra problem – Mathematical problem Dan Richardson and John Fitch

Vela Velupillai (1,388 words) [view diff] no match in snippet view article find links to article

Economics, Vol. LXXXIX, No. 4, November, pp. 679–680, 1975. "Rationality, Computability and Complexity", (with B. Rustem), Journal of Economic Dynamics and

Mathematical psychology (3,095 words) [view diff] no match in snippet view article find links to article

During the war, developments in engineering, mathematical logic and computability theory, computer science and mathematics, and the military need to understand

Outline of software engineering (2,080 words) [view diff] no match in snippet view article find links to article

well-defined methods for storing and retrieving data. Lists Trees Hash tables Computability, some problems cannot be solved at all List of unsolved problems in

Egon Börger (642 words) [view diff] no match in snippet view article find links to article

Machines: A Method for High-Level System Design and Analysis, Springer-Verlag, 2003. (ISBN 3-540-00702-4) Egon Börger Computability, Complexity, Logic (North-Holland

Distributed computing (6,666 words) [view diff] no match in snippet view article find links to article

understand which computational problems can be solved by using a computer (computability theory) and how efficiently (computational complexity theory). Traditionally

ENIAC (8,304 words) [view diff] no match in snippet view article find links to article

Benedikt (eds.). Logic and Theory of Algorithms: 4th Conference on Computability in Europe, CiE 2008 Athens, Greece, June 15-20, 2008, Proceedings. Springer

NP (complexity) (2,784 words) [view diff] no match in snippet view article

using a limited number of coin flips can determine the correct answer with high probability. This allows several results about the hardness of approximation

Constructive set theory (35,220 words) [view diff] no match in snippet view article find links to article

standard axioms to classically equivalent ones. Apart from demands for computability and reservations regrading of impredicativity, technical question regarding

Model checking (2,788 words) [view diff] no match in snippet view article find links to article

applied to hardware designs. For software, because of undecidability (see computability theory) the approach cannot be fully algorithmic, apply to all systems

KLM protocol (3,048 words) [view diff] no match in snippet view article find links to article

Leonard M.; DeMarrais, Jonathan; Huang, Ming-Deh A. (1997). "Quantum Computability". SIAM Journal on Computing. 26 (5): 1524–1540. doi:10.1137/S0097539795293639

Christopher Cherniak (1,597 words) [view diff] no match in snippet view article find links to article

computational complexity". In Copeland, J; Posy, C; Shagrir, O (eds.). Computability: Turing, Gödel, Church, & Beyond. MIT Press. pp. 261–327. ISBN 978-0262527484

List of superseded scientific theories (3,004 words) [view diff] no match in snippet view article find links to article

calculation used by Newton; it has been found incorrect and not useful except for high-speed hypersonic flow. The once-popular cycle of erosion is now considered

Nuclear weapon design (16,751 words) [view diff] no match in snippet view article find links to article

1950. In his Declaration, he mentions "basic scientific problems of computability which cannot be solved by more computing power alone. These are typified

Cryptographic multilinear map (1,027 words) [view diff] no match in snippet view article find links to article

{\displaystyle e(g_{1},g_{2})} is a generator of G T {\displaystyle G_{T}} . Computability There exists an efficient algorithm to compute e {\displaystyle e}

Consensus (computer science) (4,770 words) [view diff] no match in snippet view article

M.; Shavit, N. (1999). "The topological structure of asynchronous computability". Journal of the ACM. 46 (6): 858. CiteSeerX 10.1.1.78.1455. doi:10

Jarl-Thure Eriksson (1,025 words) [view diff] no match in snippet view article find links to article

Co-author: J. Paasi. Order versus disorder - philosophical implications on computability and modelling of complex systems. Proc. of the 1993 International Symposium

Deterministic finite automaton (3,736 words) [view diff] no match in snippet view article find links to article

Davis, Martin; Ron Sigal; Elaine J. Weyuker (1994). Second Edition: Computability, Complexity, and Languages and Logic: Fundamentals of Theoretical Computer

Shimer Great Books School (7,171 words) [view diff] no match in snippet view article find links to article

work on the foundations of computer science, including complexity, computability and communications theory Jen Richards: Emmy nominated actor and producer

Linear optical quantum computing (3,871 words) [view diff] no match in snippet view article find links to article

Leonard M.; DeMarrais, Jonathan; Huang, Ming-Deh A. (1997). "Quantum Computability". SIAM Journal on Computing. 26 (5): 1524–1540. doi:10.1137/S0097539795293639

DNA computing (4,922 words) [view diff] no match in snippet view article find links to article

computing does not provide any new capabilities from the standpoint of computability theory, the study of which problems are computationally solvable using

Boolean algebra (9,572 words) [view diff] no match in snippet view article find links to article

the input is represented by a voltage on the lead. For so-called "active-high" logic, 0 is represented by a voltage close to zero or "ground," while 1

Mathematical induction (6,914 words) [view diff] no match in snippet view article find links to article

or climbing a ladder: Mathematical induction proves that we can climb as high as we like on a ladder, by proving that we can climb onto the bottom rung

Ray tracing (graphics) (7,806 words) [view diff] no match in snippet view article

Metal - WWDC20 - Videos". Apple Developer. Retrieved October 27, 2024. "Computability and Complexity of Ray Tracing" (PDF). CS.Duke.edu. Interactive Ray Tracing:

Noam Chomsky (18,636 words) [view diff] no match in snippet view article find links to article

December 9, 2015. Davis, Martin; Weyuker, Elaine J.; Sigal, Ron (1994). Computability, complexity, and languages: fundamentals of theoretical computer science

Mathematics (15,937 words) [view diff] no match in snippet view article find links to article

logical theories inside other theories), proof theory, type theory, computability theory and computational complexity theory. Although these aspects of

Kurt Gödel (5,819 words) [view diff] no match in snippet view article find links to article

Mathematical Society. During this year, Gödel also developed the ideas of computability and recursive functions to the point where he was able to present a

Determinacy (4,125 words) [view diff] no match in snippet view article find links to article

1142/9789812564894_0005. ISBN 978-981-02-4736-2. Soare, Robert I. (2016). Turing Computability: Theory and Applications. Springer. pp. 217ff. ISBN 978-3-6423-1932-7

Functional programming (8,696 words) [view diff] no match in snippet view article find links to article

(also known as Java 1.8)". Retrieved 2021-06-16. Turing, A. M. (1937). "Computability and λ-definability". The Journal of Symbolic Logic. 2 (4). Cambridge

Tarski's high school algebra problem (1,988 words) [view diff] no match in snippet view article find links to article

In mathematical logic, Tarski's high school algebra problem was a question posed by Alfred Tarski. It asks whether there are identities involving addition

Knowledge-based engineering (2,641 words) [view diff] no match in snippet view article find links to article

representation in artificial intelligence is between expressive power and computability. As Levesque demonstrated in his classic paper on the topic, the more

Zermelo–Fraenkel set theory (6,252 words) [view diff] no match in snippet view article find links to article

equality symbol can be treated as either a primitive logical symbol or a high-level abbreviation for having exactly the same elements. The former approach

Neural network (machine learning) (17,636 words) [view diff] no match in snippet view article

PMC 10700131. PMID 38030720. Siegelmann H, Sontag E (1991). "Turing computability with neural nets" (PDF). Appl. Math. Lett. 4 (6): 77–80. doi:10

Donald Kreider (1,176 words) [view diff] no match in snippet view article find links to article

Kreider, and Robert W. Ritchie, Recursive Functions and Effective Computability, Department of Mathematics, Dartmouth College, 1980. Papers of Stephen

Unofficial patch (5,784 words) [view diff] no match in snippet view article find links to article

Messerwetzer, the project that brought Silent Hunter II – Destroyer Command computability to full fruition Projekt Messerwetzer "Silent Hunter II/Destroyer Command

The Imitation Game (8,682 words) [view diff] no match in snippet view article find links to article

subject/actor. Spent a good deal of time @umich on Turing machines, computability" (Tweet) – via Twitter. Bailey, Cameron (2014). "The Imitation Game"

New media (7,778 words) [view diff] no match in snippet view article find links to article

1980s that Alan Kay and his co-workers at Xerox PARC began to give the computability of a personal computer to the individual, rather than have a big organization

Unconventional computing (4,694 words) [view diff] no match in snippet view article find links to article

computing does not provide any new capabilities in terms of computability theory, it can perform a high number of parallel computations simultaneously. However

Collatz conjecture (7,096 words) [view diff] no match in snippet view article find links to article

piecewise affine functions over the integers: Decidability and complexity". Computability. 1 (1): 19–56. doi:10.3233/COM-150032. Michel, Pascal (1993). "Busy

List of academic fields (4,652 words) [view diff] no match in snippet view article find links to article

engineering Theory of computation Automata theory (Formal languages) Computability theory Computational complexity theory Concurrency theory VLSI design

Diploma in Computer Science (2,731 words) [view diff] no match in snippet view article find links to article

options, it studies the breakdown of algorithms, graph procedures, and computability theory. Architecture specialization in Computer Science involves digital

Ontology (18,697 words) [view diff] no match in snippet view article find links to article

a formal language to ensure precision and, in some cases, automatic computability. In the following review phase, the validity of the ontology is assessed

Number theory (12,556 words) [view diff] no match in snippet view article find links to article

algorithms in number theory have a long history, the modern study of computability began only in the 1930s and 1940s, while computational complexity theory

Lateral computing (4,212 words) [view diff] no match in snippet view article find links to article

Publishers. ISBN 978-0-444-70283-8. R.L. Epstein and W.A. Carnielli (1989); Computability, Computable Functions, Logic and The Foundations of Mathematics, Wadsworth

Implicit computational complexity (1,348 words) [view diff] no match in snippet view article find links to article

(1992). "Bounded linear logic: a modular approach to polynomial-time computability". Theoretical Computer Science. 97 (1): 1–66. doi:10.1016/0304-3975(92)90386-T

List of women in mathematics (23,282 words) [view diff] no match in snippet view article find links to article

1957), Portuguese and Swiss stochastic analyst Barbara Csima, Canadian computability theorist, president of Canadian Mathematical Society Marianna Csörnyei

Mariëlle Stoelinga (750 words) [view diff] no match in snippet view article find links to article

Her Master’s thesis covered the topic of Exact Representations of and Computability on Real Numbers, under the supervision of Erik Barendsen and Henk Barendregt

1992 Birthday Honours (14,567 words) [view diff] no match in snippet view article find links to article

British Computer Society's Disability Programme. Associate Director, The Computability Centre. Winifred Busfield. For services to music and for charitable

Satisfiability modulo theories (4,371 words) [view diff] no match in snippet view article find links to article

capacity improvements leveraged over time. On the other hand, the loss of the high-level semantics of the underlying theories means that the Boolean SAT solver

MAXEkSAT (1,537 words) [view diff] no match in snippet view article find links to article

complexity Descriptive complexity theory List of complexity classes List of computability and complexity topics List of unsolved problems in computer science

Glossary of artificial intelligence (29,481 words) [view diff] no match in snippet view article find links to article

is divided into three major branches: automata theory and languages, computability theory, and computational complexity theory, which are linked by the

Glossary of computer science (23,955 words) [view diff] no match in snippet view article find links to article

language, object code, or machine code) to create an executable program. computability theory also known as recursion theory, is a branch of mathematical logic

History of science (23,303 words) [view diff] no match in snippet view article find links to article

engineering, studies the nature and limits of computation. Subfields include computability, computational complexity, database design, computer networking, artificial

Church encoding (8,544 words) [view diff] no match in snippet view article find links to article

ISBN 978-3-642-40354-5. Stump, A. (2009). "Directly reflective meta-programming" (PDF). High-Order Symb Comput. 22 (2): 115–144. CiteSeerX 10.1.1.489.5018. doi:10

Timeline of United States inventions (1890–1945) (25,262 words) [view diff] no match in snippet view article

has now emerged as a useful tool in the investigation of problems in computability, recursion theory, and as a fundamental basis and a modern paradigm

History of mathematics (16,226 words) [view diff] no match in snippet view article find links to article

areas of mathematics were developed to deal with this: Alan Turing's computability theory; complexity theory; Derrick Henry Lehmer's use of ENIAC to further

Unknowability (1,250 words) [view diff] no match in snippet view article find links to article

unknowability associated with the established mathematical field of computability theory. In 1936, Alan Turing proved that the halting problem is undecidable

Timeline of artificial intelligence (4,739 words) [view diff] no match in snippet view article find links to article

computation by introducing the Turing machine, a physical interpretation of "computability". He used it to confirm Gödel by proving that the halting problem is

Logicism (11,833 words) [view diff] no match in snippet view article find links to article

the fact that mathematical logic has up to now remained so far behind the high expectations of Peano and others . . .." (p. 140) Neo-logicism describes

Andrew S. Gibbons (2,501 words) [view diff] no match in snippet view article find links to article

Fleisher, A. (1987). "Designing with constraints" in Y. E. Kalay (ed.), Computability of design. New York: John Wiley & Sons. Brand, S. (1994). How buildings

History of the function concept (10,688 words) [view diff] no match in snippet view article find links to article

example, Hardy's definition includes multivalued functions and what in computability theory are called partial functions. Logicians of this time were primarily

List of University of California, Berkeley faculty (15,295 words) [view diff] no match in snippet view article find links to article

combinatorial optimization problems, the identification of polynomial-time computability with the intuitive notion of algorithmic efficiency, and, most notably

Kazem Sadegh-Zadeh (4,208 words) [view diff] no match in snippet view article find links to article

went bankrupt and never recovered. At eleven years of age when entering the high school shortly after his father's bankruptcy, Sadegh-Zadeh told his parents

List of inventions and discoveries by women (7,598 words) [view diff] no match in snippet view article find links to article

degrees. The field has since expanded to include the study of generalized computability and definability. In these areas, recursion theory overlaps with proof

List of Jewish mathematicians (15,830 words) [view diff] no match in snippet view article find links to article

(1985) Felix Hausdorff (1868–1942), topology Louise Hay (1935–1989), computability theory Walter Hayman (1926–2020), complex analysis Hans Heilbronn (1908–1975)

20th century in science (9,744 words) [view diff] no match in snippet view article find links to article

areas of mathematics were developed to deal with this: Alan Turing's computability theory; complexity theory; Derrick Henry Lehmer's use of ENIAC to further

Maximin share (11,200 words) [view diff] no match in snippet view article find links to article

Ruta; Taki, Setareh (2021-04-05). "Indivisible Mixed Manna: On the Computability of MMS + PO Allocations". arXiv:2007.09133 [cs.GT]. Ebadian, Soroush;

List of University of Texas at Dallas people (2,515 words) [view diff] no match in snippet view article find links to article

University of Minnesota in 1984, a Ph.D. in the Theory of Computation and Computability Theory from the University of Wales in 1979, and a Doctorate of Engineering

Legacy of Alan Turing (5,712 words) [view diff] no match in snippet view article find links to article

the University of Cambridge, the latter organised by the association Computability in Europe. The Science Museum in London launched a free exhibition devoted

January–March 2021 in science (13,101 words) [view diff] no match in snippet view article find links to article

January 2021). "Superintelligence Cannot be Contained: Lessons from Computability Theory". Journal of Artificial Intelligence Research. 70: 65–76. doi:10

Database consumption (3,673 words) [view diff] no match in snippet view article find links to article

Ritzer's concept of McDonaldization (excessive emphasis on rationality and computability). It is also sometimes compared to Zolaism. The A.D.M.S. in YU-NO: A

Glossary of logic (30,237 words) [view diff] no match in snippet view article find links to article

logical and linguistic intuitions. busy beaver problem A problem in computability theory that seeks the Turing machine with the largest possible behavior

April–June 2020 in science (28,442 words) [view diff] no match in snippet view article find links to article

Covid-19". Portugal Resident. Retrieved 11 February 2022. "A sad message – Computability". 14 April 2020. Retrieved 11 February 2022. Schwartz, John (23 April