Results for 'program size complexity'

988 found
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  1. Program Size Complexity for Possibly Infinite Computations.Verónica Becher, Santiago Figueira, André Nies & Silvana Picchi - 2005 - Notre Dame Journal of Formal Logic 46 (1):51-64.
    We define a program size complexity function $H^\infty$ as a variant of the prefix-free Kolmogorov complexity, based on Turing monotone machines performing possibly unending computations. We consider definitions of randomness and triviality for sequences in ${\{0,1\}}^\omega$ relative to the $H^\infty$ complexity. We prove that the classes of Martin-Löf random sequences and $H^\infty$-random sequences coincide and that the $H^\infty$-trivial sequences are exactly the recursive ones. We also study some properties of $H^\infty$ and compare it with other (...)
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  2.  12
    Program-size complexity for short strings.Hector Zenil - unknown
  3.  34
    Towards a stable definition of program-size complexity.Hector Zenil - unknown
    We propose a test based on the theory of algorithmic complexity and an experimental evaluation of Levin's universal distribution to identify evidence in support of or in contravention of the claim that the world is algorithmic in nature. To this end statistical comparisons are undertaken of the frequency distributions of data from physical sources--repositories of information such as images, data stored in a hard drive, computer programs and DNA sequences--and the output frequency distributions generated by purely algorithmic means--by running (...)
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  4. Kolmogorov complexity for possibly infinite computations.Verónica Becher & Santiago Figueira - 2005 - Journal of Logic, Language and Information 14 (2):133-148.
    In this paper we study the Kolmogorov complexity for non-effective computations, that is, either halting or non-halting computations on Turing machines. This complexity function is defined as the length of the shortest input that produce a desired output via a possibly non-halting computation. Clearly this function gives a lower bound of the classical Kolmogorov complexity. In particular, if the machine is allowed to overwrite its output, this complexity coincides with the classical Kolmogorov complexity for halting (...)
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  5.  57
    Kurt Gödel's Anticipation of the Turing Machine: A Vitalistic Approach.Tim Lethen - 2020 - History and Philosophy of Logic 41 (3):252-264.
    In 1935/1936 Kurt Gödel wrote three notebooks on the foundations of quantum mechanics, which have now been entirely transcribed for the first time. Whereas a lot of the material is rather technical in character, many of Gödel's remarks have a philosophical background and concentrate on Leibnizian monadology as well as on vitalism. Obviously influenced by the vitalistic writings of Hans Driesch and his ‘proofs’ for the existence of an entelechy in every living organism, Gödel briefly develops the idea of a (...)
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  6.  35
    An extension of Chaitin's halting probability Ω to a measurement operator in an infinite dimensional quantum system.Kohtaro Tadaki - 2006 - Mathematical Logic Quarterly 52 (5):419-438.
    This paper proposes an extension of Chaitin's halting probability Ω to a measurement operator in an infinite dimensional quantum system. Chaitin's Ω is defined as the probability that the universal self-delimiting Turing machine U halts, and plays a central role in the development of algorithmic information theory. In the theory, there are two equivalent ways to define the program-size complexity H of a given finite binary string s. In the standard way, H is defined as the length (...)
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  7. The Interdependence of Planning, Programming and Budgeting.Oliver Bakreski - 2024 - Годишен зборник на Филозофскиот факултет/The Annual of the Faculty of Philosophy in Skopje 77 (1):295-327.
    Planning is a significant process function and counterpoises a very complex,dynamic and specific activity, which means that its subject consists of all forms of socialactivity, activities and life. Planning and programming are equally important to allentities regardless of their size and goals, as they all have experienced painful problemswith their planning efforts. Some emerge from the planning process itself, and somefrom the implementing procedure. Therefore the question arises: „How to help overcomefailures in planning from failures in implementation?” Hence, the (...)
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  8.  13
    Sizing a Hybrid Renewable Energy System by a Coevolutionary Multiobjective Optimization Algorithm.Wenhua Li, Guo Zhang, Xu Yang, Zhang Tao & Hu Xu - 2021 - Complexity 2021:1-9.
    Hybrid renewable energy system arises regularly in real life. By optimizing the capacity and running status of the microgrid, HRES can decrease the running cost and improve the efficiency. Such an optimization problem is generally a constrained mixed-integer programming problem, which is usually solved by linear programming method. However, as more and more devices are added into MG, the mathematical model of HRES refers to nonlinear, in which the traditional method is incapable to solve. To address this issue, we first (...)
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  9.  16
    ‘Weighing’ Losses and Gains: Evaluation of the Healthy Lifestyle Modification After Breast Cancer Pilot Program.Dana Male, Karen Fergus & Shira Yufe - 2022 - Frontiers in Psychology 13.
    ObjectivesThis pilot study sought to develop and evaluate a novel online group-based intervention to help breast cancer survivors make healthy lifestyle changes intended to yield not only beneficial physical outcomes but also greater behavioral, and psychosocial well-being.MethodsAn exploratory single-arm, mixed-method triangulation design was employed to evaluate the feasibility and preliminary effectiveness of the HLM-ABC intervention for overweight BCSs. Fourteen women participated in the 10-week intervention and completed quantitative measures of the above-mentioned outcomes at baseline, post-treatment, 6-month, and 12-month follow-up time (...)
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  10.  65
    A Novel MILP Model for the Production, Lot Sizing, and Scheduling of Automotive Plastic Components on Parallel Flexible Injection Machines with Setup Common Operators.Beatriz Andres, Eduardo Guzman & Raul Poler - 2021 - Complexity 2021:1-16.
    In this article, a mixed integer linear program model is proposed for the production, lot sizing, and scheduling of automotive plastic components to minimize the setup, inventory, stockout, and backorder costs, by taking into account injection molds as the main index to schedule on parallel flexible injection machines. The proposed MILP considers the minimum and maximum inventory capacities and penalizes stockout. A relevant characteristic of the modeled problem is the dependence between mold setups to produce plastic components. The lot (...)
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  11.  20
    Democracy and Super Technologies: The Politics of the Space Shuttle and Space Station Freedom.W. D. Kay - 1994 - Science, Technology and Human Values 19 (2):131-151.
    A significant share of the U.S. federal R&D budget is devoted to large-scale, complex technological systems commonly referred to as "big science. " Over the last two decades, these systems have continued to grow in size, complexity, development time, and cost. At the same time, political changes in the United States, particularly the concern over government spending and the federal budget deficit, have made it more difficult for proponents to secure and preserve support for these programs over their (...)
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  12.  25
    EFP-GA: An Extended Fuzzy Programming Model and a Genetic Algorithm for Management of the Integrated Hub Location and Revenue Model under Uncertainty.Yaser Rouzpeykar, Roya Soltani & Mohammad Ali Afashr Kazemi - 2022 - Complexity 2022:1-12.
    The aviation industry is one of the most widely used applications in transportation. Due to the limited capacity of aircraft, revenue management in this industry is of high significance. On the other hand, the hub location problem has been considered to facilitate the demands assignment to hubs. This paper presents an integrated p-hub location and revenue management problem under uncertain demand to maximize net revenue and minimize total cost, including hub establishment and transportation costs. A fuzzy programming model and a (...)
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  13. Parsimony hierarchies for inductive inference.Andris Ambainis, John Case, Sanjay Jain & Mandayam Suraj - 2004 - Journal of Symbolic Logic 69 (1):287-327.
    Freivalds defined an acceptable programming system independent criterion for learning programs for functions in which the final programs were required to be both correct and "nearly" minimal size, i.e., within a computable function of being purely minimal size. Kinber showed that this parsimony requirement on final programs limits learning power. However, in scientific inference, parsimony is considered highly desirable. A lim-computablefunction is (by definition) one calculable by a total procedure allowed to change its mind finitely many times about (...)
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  14.  61
    A Pinning Actor-Critic Structure-Based Algorithm for Sizing Complex-Shaped Depth Profiles in MFL Inspection with High Degree of Freedom.Zhenning Wu, Yiming Deng & Lixing Wang - 2021 - Complexity 2021:1-12.
    One of the most efficient nondestructive methods for pipeline in-line inspection is magnetic flux leakage inspection. Estimating the size of the defect from MFL signal is one of the key problems of MFL inspection. As the inspection signal is usually contaminated by noise, sizing the defect is an ill-posed inverse problem, especially when sizing the depth as a complex shape. An actor-critic structure-based algorithm is proposed in this paper for sizing complex depth profiles. By learning with more information from (...)
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  15.  22
    Introduction to Special Issue on Migration.Richard Epstein & Mario Rizzo - 2023 - Public Affairs Quarterly 37 (3):153-155.
    The variety and complexity of the eight papers in this Symposium issue are evidence that immigration is a tough nut to crack both as a matter of policy and application. There is no way that any short summary can do justice to these papers, which take a variety of moral, economic, historical, and empirical approaches to some of the recurrent issues in the field, so it is best in this short issue to try to situate the problem in a (...)
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  16. Non-Discrimination in Human Resources Management as a Moral Obligation.Geert Demuijnck - 2009 - Journal of Business Ethics 88 (1):83-101.
    In this paper, I will argue that it is a moral obligation for companies, firstly, to accept their moral responsibility with respect to non-discrimination, and secondly, to address the issue with a full-fledged programme, including but not limited to the countering of microsocial discrimination processes through specific policies. On the basis of a broad sketch of how some discrimination mechanisms are actually influencing decisions, that is, causing intended as well as unintended bias in Human Resources Management (HRM), I will argue (...)
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  17. Population size predicts technological complexity in Oceania.Michelle A. Kline & Robert Boyd - unknown
    Much human adaptation depends on the gradual accumulation of culturally transmitted knowledge and technology. Recent models of this process predict that large, well-connected populations will have more diverse and complex tool kits than small, isolated populations. While several examples of the loss of technology in small populations are consistent with this prediction, it found no support in two systematic quantitative tests. Both studies were based on data from continental populations in which contact rates were not available, and therefore these studies (...)
     
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  18.  46
    The Epistemological Consequences of Artificial Intelligence, Precision Medicine, and Implantable Brain-Computer Interfaces.Ian Stevens - 2024 - Voices in Bioethics 10.
    ABSTRACT I argue that this examination and appreciation for the shift to abductive reasoning should be extended to the intersection of neuroscience and novel brain-computer interfaces too. This paper highlights the implications of applying abductive reasoning to personalized implantable neurotechnologies. Then, it explores whether abductive reasoning is sufficient to justify insurance coverage for devices absent widespread clinical trials, which are better applied to one-size-fits-all treatments. INTRODUCTION In contrast to the classic model of randomized-control trials, often with a large number (...)
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  19.  44
    Programming the Emergence in Morphogenetically Architected Complex Systems.Angélique Stéphanou & Nicolas Glade - 2015 - Acta Biotheoretica 63 (3):295-308.
    Large sets of elements interacting locally and producing specific architectures reliably form a category that transcends the usual dividing line between biological and engineered systems. We propose to call them morphogenetically architected complex systems. While taking the emergence of properties seriously, the notion of MACS enables at the same time the design of operational means that allow controlling and even, paradoxically, programming this emergence. To demonstrate our claim, we first show that among all the self-organized systems studied in the field (...)
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  20.  46
    Forcing Complexity: Minimum Sizes of Forcing Conditions.Toshio Suzuki - 2001 - Notre Dame Journal of Formal Logic 42 (2):117-120.
    This note is a continuation of our former paper ''Complexity of the r-query tautologies in the presence of a generic oracle.'' We give a very short direct proof of the nonexistence of t-generic oracles, a result obtained first by Dowd. We also reconstitute a proof of Dowd's result that the class of all r-generic oracles in his sense has Lebesgue measure one.
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  21.  42
    Cause related marketing and corporate philanthropy in the privately held enterprise.Karen Maru File & Russ Alan Prince - 1998 - Journal of Business Ethics 17 (14):1529-1539.
    Owners of businesses represent an interesting case in the study of the intersection of personal and corporate philanthropic values. Because individuals who own businesses have the means and the ability to act on philanthropic motivations through the medium of their businesses, it is interesting to explore the extent to which their corporate contributions to nonprofits are philanthropic in nature or instrumentally motivated, as in the instance of cause related marketing. The trade-offs between cause related marketing and corporate support of nonprofits (...)
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  22.  84
    The Effect of Groupwork on Ethical Decision-Making of Accountancy Students.Conor O’Leary & Gladies Pangemanan - 2007 - Journal of Business Ethics 75 (3):215-228.
    Recent accounting scandals involving the collapse of large corporate firms have brought into question the adequacy of ethics education within accounting programs. This paper investigates the ethical decisions of accountancy students and in particular analyses the effect of group (as opposed to individual) decision-making on ethical decisions. Final year accountancy students (sample size of 165) were randomly allocated into two experimental conditions. The participants were then presented with five (5) ethical vignettes. One experimental condition involved completing the ethical decisions (...)
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  23. Programming the Emergence in Morphogenetically Architected Complex Systems.Franck Varenne, Pierre Chaigneau, Jean Petitot & René Doursat - 2015 - Acta Biotheoretica 63 (3):295-308.
    Large sets of elements interacting locally and producing specific architectures reliably form a category that transcends the usual dividing line between biological and engineered systems. We propose to call them morphogenetically architected complex systems (MACS). While taking the emergence of properties seriously, the notion of MACS enables at the same time the design (or “meta-design”) of operational means that allow controlling and even, paradoxically, programming this emergence. To demonstrate our claim, we first show that among all the self-organized systems studied (...)
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  24.  48
    IDL-PMCFG, a Grammar Formalism for Describing Free Word Order Languages.François Hublet - 2022 - Journal of Logic, Language and Information 31 (3):327-388.
    We introduce _Interleave-Disjunction-Lock parallel multiple context-free grammars_ (IDL-PMCFG), a novel grammar formalism designed to describe the syntax of free word order languages that allow for extensive interleaving of grammatical constituents. Though interleaved constituents, and especially the so-called hyperbaton, are common in several ancient (Classical Latin and Greek, Sanskrit...) and modern (Hungarian, Finnish...) languages, these syntactic structures are often difficult to express in existing formalisms. The IDL-PMCFG formalism combines Seki et al.’s parallel multiple context-free grammars (PMCFG) with Nederhof and Satta’s IDL (...)
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  25.  16
    The Effectiveness of Standardized Patient Simulation in Training Hospital Ethics Committees.Robert C. Macauley & David Y. Harari - 2016 - Journal of Clinical Ethics 27 (1):14-20.
    Clinical simulation using standardized patients has become standard in medical education—and is now being incorporated into some graduate programs in bioethics—for both formative and summative evaluation. In most hospitals, though, clinical ethics consultation is done by the ethics committee (or a subset of it). This study is the first, to our knowledge, to examine the effectiveness of standardized patient simulation in training hospital ethics committees to deal with ethically complex and emotionally fraught clinical situations. Following a substantial revision of the (...)
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  26.  50
    A thermodynamic theory of the origin and hierarchical evolution of living systems.H. J. Hamilton - 1977 - Zygon 12 (4):289-335.
    Abstract.Growing interest in the origin of life, the physical foundations of biological theory, and the evolution of animal social systems has led to increasing efforts to understand the processes by which elements or living systems at one level of organizational complexity combine to form stable systems of higher order. J. Bronowski saw the need to extend or reformulate evolutionary theory to deal with the hierarchy problem and to account for the evolution of systems of “stratified stability.” The hierarchy problem (...)
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  27. The Origin of Form.Christopher Williams - 1975 - Dissertation, Union Institute and University
    Most of the biological and earth sciences are concerned with finding the differences between things and the magnitude of those differences, while science is occupied exploring these spaces and changes, religion is looking for a way to establish a unity of the parts. An interesting and valid question can be formulated by synthesizing the dedication to detail of the one with the great encompassing cohesiveness of the other. What is there to be seen if the form, material, structure, function and (...)
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  28.  29
    One size doesn’t fit all: How institutional complexity within the state shapes firms’ environmental innovation.Xin Pan, Xuanjin Chen, Haojing Guo & Yucheng Zhang - 2020 - Business Ethics: A European Review 29 (3):438-450.
    Business Ethics: A European Review, EarlyView.
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  29.  20
    Two Cheers for Blueprints, or, Negative Reasons for Positive Utopianism.Antonis Balasopoulos - 2024 - Utopian Studies 34 (3):489-497.
    In lieu of an abstract, here is a brief excerpt of the content:Two Cheers for Blueprints, or, Negative Reasons for Positive UtopianismAntonis Balasopoulos (bio)It is well known that the decline of programmatic or so-called blueprint utopias and utopianism came on the heels of a widespread and concerted attack against them during the first two decades of the Cold War. In the writings of thinkers like Hayek, Popper, Talmon, Kolakowski, and many others, program became synonymous with hubris.1 It was construed (...)
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  30.  26
    Solving a Two-stage Supply Chain Network Design Problem with Fixed Costs by a Hybrid Genetic Algorithm.Ovidiu Cosma, Petrică C. Pop & Cosmin Sabo - 2022 - Logic Journal of the IGPL 30 (4):622-634.
    In this paper we investigate a particular two-stage supply chain network design problem with fixed costs. In order to solve this complex optimization problem, we propose an efficient hybrid algorithm, which was obtained by incorporating a linear programming optimization problem within the framework of a genetic algorithm. In addition, we integrated within our proposed algorithm a powerful local search procedure able to perform a fine tuning of the global search. We evaluate our proposed solution approach on a set of large (...)
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    Елітарна якість вищої освіти як наслідок глобальної інтернаціоналізації.M. A. Debych & O. A. Humenna - 2019 - Гуманітарний Вісник Запорізької Державної Інженерної Академії 75:105-118.
    The relevance of the research topic. After the World War II the leaders and intellectuals of the world were forced to look for new principles and methods of management. New theories for analysis of complex systems appeared. The D. Meadows’ group from the Club of Rome and other analysts discovered the fact of the deepening humanity in an irreversible and deadly crisis. Up to now, economists and politicians have not offered a way to guarantee rescue. However, there is a consensus (...)
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  32.  9
    Design effects in people-meter panel research.Adriaan W. Hoogendoorn - 2006 - Communications 31 (4):409-424.
    In the world of television-making, the media industry relies on measurements from a people-meter panel in order to find out how many people watch a certain program or commercial on television. A people-meter panel is a special-purpose panel in which the television-watching behavior of household members is measured using a special device attached to television sets. The measuring device can also register the television-watching behavior of guests to the panel homes. The reliability of estimates based on the people-meter panel (...)
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  33.  32
    Contradictions of democratic education: International teachers’ perspectives on democracy in American schools.Sarah A. Mathews, Mindy J. Spearman & S. Megan Che - 2013 - Journal of Social Studies Research 37 (4):185-193.
    This study highlights a range of perspectives offered by 11 international teachers, participating in a cultural immersion experience, as they reflect on how they saw democracy manifested at their school internships. Teachers from six different countries studied and taught in a rural community in the Southern United States, where a medium-sized research university hosted the teachers as part of a federally-funded program during an academic semester. As a part of a larger qualitative research study analyzing the international teachers’ perception (...)
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  34.  18
    Whether scientists should try to go it alone: a formal model for the risk of split of a scientific community.Thomas Boyer - unknown
    In this paper, I address a question in social epistemology about the unity of a scientic community to- wards its inner groups (teams, labs...). I investigate the reasons why these groups might want to \go it alone", working among themselves and hiding their discoveries from other groups. I concentrate on the intermediate results of a longer project, where the first steps can help to achieve a more advanced result. I study to what extent the isolation of research groups might be (...)
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  35.  77
    An Emotion Regulation and Impulse Control (ERIC) Intervention for Vulnerable Young People: A Multi-Sectoral Pilot Study.Kate Hall, George Youssef, Angela Simpson, Elise Sloan, Liam Graeme, Natasha Perry, Richard Moulding, Amanda L. Baker, Alison K. Beck & Petra K. Staiger - 2021 - Frontiers in Psychology 12.
    Objective: There is a demonstrated link between the mental health and substance use comorbidities experienced by young adults, however the vast majority of psychological interventions are disorder specific. Novel psychological approaches that adequately acknowledge the psychosocial complexity and transdiagnostic needs of vulnerable young people are urgently needed. A modular skills-based program for emotion regulation and impulse control addresses this gap. The current one armed open trial was designed to evaluate the impact that 12 weeks exposure to ERIC alongside (...)
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  36.  15
    On improving the efficiency of mathematical modeling of the problem of stability of construction.Chistyakov A. V. - 2020 - Artificial Intelligence Scientific Journal 25 (3):27-36.
    Algorithmic software for mathematical modeling of structural stability is considered, which is reduced to solving a partial generalized eigenvalues problem of sparse matrices, with automatic parallelization of calculations on modern parallel computers with graphics processors. Peculiarities of realization of parallel algorithms for different structures of sparse matrices are presented. The times of solving the problem of stability of composite materialsusing a three-dimensional model of "finite size fibers" on computers of different architectures are given. In mathematical modeling of physical and (...)
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  37. Computational complexity of stochastic programming problems.Martin Dyer & Leen Stougie - 2005 - Complexity 1 (13):21.
  38.  32
    A schematic definition of quantum polynomial time computability.Tomoyuki Yamakami - 2020 - Journal of Symbolic Logic 85 (4):1546-1587.
    In the past four decades, the notion of quantum polynomial-time computability has been mathematically modeled by quantum Turing machines as well as quantum circuits. This paper seeks the third model, which is a quantum analogue of the schematic definition of recursive functions. For quantum functions mapping finite-dimensional Hilbert spaces to themselves, we present such a schematic definition, composed of a small set of initial quantum functions and a few construction rules that dictate how to build a new quantum function from (...)
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  39. Complexed program of the comecon and social-sciences.Pd Nikolic - 1986 - Filosoficky Casopis 34 (5):721-737.
  40.  48
    The quantifier complexity of polynomial‐size iterated definitions in first‐order logic.Samuel R. Buss & Alan S. Johnson - 2010 - Mathematical Logic Quarterly 56 (6):573-590.
    We refine the constructions of Ferrante-Rackoff and Solovay on iterated definitions in first-order logic and their expressibility with polynomial size formulas. These constructions introduce additional quantifiers; however, we show that these extra quantifiers range over only finite sets and can be eliminated. We prove optimal upper and lower bounds on the quantifier complexity of polynomial size formulas obtained from the iterated definitions. In the quantifier-free case and in the case of purely existential or universal quantifiers, we show (...)
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  41.  33
    The complexity of the embeddability relation between torsion-free Abelian groups of uncountable size.Filippo Calderoni - 2018 - Journal of Symbolic Logic 83 (2):703-716.
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  42.  34
    The Size of a Formula as a Measure of Complexity.Jouko Väänänen & Lauri Hella - 2015 - In Åsa Hirvonen, Juha Kontinen, Roman Kossak & Andrés Villaveces, Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. Boston: De Gruyter. pp. 193-214.
  43.  15
    Research Doctorate Programs in the United States: Continuity and Change.Marvin L. Goldberger, Brendan A. Maher, Pamela Ebert Flattau, Committee for the Study of Research-Doctorate Programs in the United States & Conference Board of Associated Research Councils - 1995 - National Academies Press.
    Doctoral programs at U.S. universities play a critical role in the development of human resources both in the United States and abroad. This volume reports the results of an extensive study of U.S. research-doctorate programs in five broad fields: physical sciences and mathematics, engineering, social and behavioral sciences, biological sciences, and the humanities. Research-Doctorate Programs in the United States documents changes that have taken place in the size, structure, and quality of doctoral education since the widely used 1982 editions. (...)
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  44.  36
    From simplicity to complexity: The size of the genomes of human pathogens.Harold J. Morowitz, Vijayasarathy Srinivasan & Eric Smith - 2013 - Complexity 18 (5):5-6.
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  45.  45
    Computability and Complexity: From a Programming Perspective Vol. 21.N. D. Jones - 1997 - MIT Press.
    This makes his book especially valuable." -- Yuri Gurevich, Professor of Computer Science, University of Michigan Computability and complexity theory should be of central concern to practitioners as well as theorists.
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  46.  18
    The complexity landscape of decompositional parameters for ILP: Programs with few global variables and constraints.Pavel Dvořák, Eduard Eiben, Robert Ganian, Dušan Knop & Sebastian Ordyniak - 2021 - Artificial Intelligence 300 (C):103561.
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  47.  30
    The descriptive set-theoretical complexity of the embeddability relation on models of large size.Luca Motto Ros - 2013 - Annals of Pure and Applied Logic 164 (12):1454-1492.
    We show that if κ is a weakly compact cardinal then the embeddability relation on trees of size κ is invariantly universal. This means that for every analytic quasi-order R on the generalized Cantor space View the MathML source there is an Lκ+κ-sentence φ such that the embeddability relation on its models of size κ, which are all trees, is Borel bi-reducible to R. In particular, this implies that the relation of embeddability on trees of size κ (...)
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  48.  18
    The complexity and generality of learning answer set programs.Mark Law, Alessandra Russo & Krysia Broda - 2018 - Artificial Intelligence 259:110-146.
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  49.  18
    Complexity of Index Sets of Descriptive Set-Theoretic Notions.Reese Johnston & Dilip Raghavan - 2022 - Journal of Symbolic Logic 87 (3):894-911.
    Descriptive set theory and computability theory are closely-related fields of logic; both are oriented around a notion of descriptive complexity. However, the two fields typically consider objects of very different sizes; computability theory is principally concerned with subsets of the naturals, while descriptive set theory is interested primarily in subsets of the reals. In this paper, we apply a generalization of computability theory, admissible recursion theory, to consider the relative complexity of notions that are of interest in descriptive (...)
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  50.  95
    Computational complexity of some Ramsey quantifiers in finite models.Marcin Mostowski & Jakub Szymanik - 2007 - Bulletin of Symbolic Logic 13:281--282.
    The problem of computational complexity of semantics for some natural language constructions – considered in [M. Mostowski, D. Wojtyniak 2004] – motivates an interest in complexity of Ramsey quantifiers in finite models. In general a sentence with a Ramsey quantifier R of the following form Rx, yH(x, y) is interpreted as ∃A(A is big relatively to the universe ∧A2 ⊆ H). In the paper cited the problem of the complexity of the Hintikka sentence is reduced to the (...)
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