Results for 'Computable tree'

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  1.  28
    Computational modeling of reading in semantic dementia: Comment on Woollams, Lambon Ralph, Plaut, and Patterson (2007).Max Coltheart, Jeremy J. Tree & Steven J. Saunders - 2010 - Psychological Review 117 (1):256-271.
  2.  33
    Appropriate computer-mediated communication: An Australian indigenous information system case study. [REVIEW]Andrew Turk & Kathryn Trees - 1999 - AI and Society 13 (4):377-388.
    This article discusses ways to operationalise the concept of culturally appropriate computer-mediated communication, utilising information systems (IS) development methodologies and adopting a postmodern and postcolonial perspective. By way of illustration, it describes progress on the participative development of the Ieramugadu Cultural Information System. This project is designed to develop and evaluate innovative procedures for elicitation, analysis, storage and communication of indigenous cultural heritage information. It is investigating culturally appropriate IS design techniques, multimedia approaches and ways to ensure protection of secret/sacred (...)
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  3.  53
    Computable Trees of Scott Rank [image] , and Computable Approximation.Wesley Calvert, Julia F. Knight & Jessica Millar - 2006 - Journal of Symbolic Logic 71 (1):283 - 298.
    Makkai [10] produced an arithmetical structure of Scott rank $\omega _{1}^{\mathit{CK}}$. In [9]. Makkai's example is made computable. Here we show that there are computable trees of Scott rank $\omega _{1}^{\mathit{CK}}$. We introduce a notion of "rank homogeneity". In rank homogeneous trees, orbits of tuples can be understood relatively easily. By using these trees, we avoid the need to pass to the more complicated "group trees" of [10] and [9]. Using the same kind of trees, we obtain one (...)
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  4. An axiomatization of full computation tree logic.M. Reynolds - 2001 - Journal of Symbolic Logic 66 (3):1011-1057.
    We give a sound and complete axiomatization for the full computation tree logic, CTL*, of R-generable models. This solves a long standing open problem in branching time temporal logic.
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  5.  31
    Extended full computation-tree logics for paraconsistent model checking.Norihiro Kamide - 2007 - Logic and Logical Philosophy 15 (3):251-276.
    It is known that the full computation-tree logic CTL * is an important base logic for model checking. The bisimulation theorem for CTL* is known to be useful for abstraction in model checking. In this paper, the bisimulation theorems for two paraconsistent four-valued extensions 4CTL* and 4LCTL* of CTL* are shown, and a translation from 4CTL* into CTL* is presented. By using 4CTL* and 4LCTL*, inconsistency-tolerant and spatiotemporal reasoning can be expressed as a model checking framework.
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  6.  33
    Self-Embeddings of Computable Trees.Stephen Binns, Bjørn Kjos-Hanssen, Manuel Lerman, James H. Schmerl & Reed Solomon - 2008 - Notre Dame Journal of Formal Logic 49 (1):1-37.
    We divide the class of infinite computable trees into three types. For the first and second types, 0' computes a nontrivial self-embedding while for the third type 0'' computes a nontrivial self-embedding. These results are optimal and we obtain partial results concerning the complexity of nontrivial self-embeddings of infinite computable trees considered up to isomorphism. We show that every infinite computable tree must have either an infinite computable chain or an infinite Π01 antichain. This result (...)
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  7. Extended Full Computation-tree Logics For Paraconsistent Model Checking.Norihiro Kamide - 2006 - Logic and Logical Philosophy 15:251-267.
    It is known that the full computation-tree logic CTL∗is an important base logic for model checking. The bisimulation theorem for CTL∗is known to be useful for abstraction in model checking. In this paper, thebisimulation theorems for two paraconsistent four-valued extensions 4CTL∗and 4LCTL∗of CTL∗are shown, and a translation from 4CTL∗into CTL∗ispresented. By using 4CTL∗and 4LCTL∗, inconsistency-tolerant and spatiotemporal reasoning can be expressed as a model checking framework.
     
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  8.  6
    Min-max Computation Tree Logic.Pallab Dasgupta, P. P. Chakrabarti, Jatindra Kumar Deka & Sriram Sankaranarayanan - 2001 - Artificial Intelligence 127 (1):137-162.
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  9. Temporal Logics with Reference Pointers and Computation Tree Logics.Valentin Goranko - 2000 - Journal of Applied Non-Classical Logics 10 (3-4):221-242.
    ABSTRACT A complete axiomatic system CTLrp is introduced for a temporal logic for finitely branching ω+ -trees in a language extended with so called reference pointers. Syntactic and semantic interpretations are constructed for the branching time computation tree logic CTL* into CTLrp. In particular, that yields a complete axiomatization for the translations of all valid CTL*-formulae. Thus, the temporal logic with reference pointers is brought forward as a simpler (with no path quantifiers), but in a way more expressive medium (...)
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  10. Temporal Logics with Reference Pointers and Computation Tree Logics.Valentin Goranko - 2000 - Journal of Applied Non-Classical Logics 10 (3):221-242.
    A complete axiomatic system CTL$_{rp}$ is introduced for a temporal logic for finitely branching $\omega^+$-trees in a temporal language extended with so called reference pointers. Syntactic and semantic interpretations are constructed for the branching time computation tree logic CTL$^{*}$ into CTL$_{rp}$. In particular, that yields a complete axiomatization for the translations of all valid CTL$^{*}$-formulae. Thus, the temporal logic with reference pointers is brought forward as a simpler (with no path quantifiers), but in a way more expressive medium for (...)
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  11.  16
    One-pass tableaux for computation tree logic.Rajeev Gore - manuscript
  12.  7
    A clausal resolution method for extended computation tree logic ECTL.Alexander Bolotov & Artie Basukoski - 2006 - Journal of Applied Logic 4 (2):141-167.
  13.  20
    The computable dimension of trees of infinite height.Russell Miller - 2005 - Journal of Symbolic Logic 70 (1):111-141.
    We prove that no computable tree of infinite height is computably categorical, and indeed that all such trees have computable dimension ω. Moreover, this dimension is effectively ω, in the sense that given any effective listing of computable presentations of the same tree, we can effectively find another computable presentation of it which is not computably isomorphic to any of the presentations on the list.
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  14.  50
    Computable categoricity of trees of finite height.Steffen Lempp, Charles McCoy, Russell Miller & Reed Solomon - 2005 - Journal of Symbolic Logic 70 (1):151-215.
    We characterize the structure of computably categorical trees of finite height, and prove that our criterion is both necessary and sufficient. Intuitively, the characterization is easiest to express in terms of isomorphisms of (possibly infinite) trees, but in fact it is equivalent to a Σ03-condition. We show that all trees which are not computably categorical have computable dimension ω. Finally, we prove that for every n≥ 1 in ω, there exists a computable tree of finite height which (...)
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  15.  5
    Computability in uncountable binary trees.Reese Johnston - 2019 - Journal of Symbolic Logic 84 (3):1049-1098.
    Computability, while usually performed within the context of ω, may be extended to larger ordinals by means of α-recursion. In this article, we concentrate on the particular case of ω1-recursion, and study the differences in the behavior of ${\rm{\Pi }}_1^0$-classes between this case and the standard one.Of particular interest are the ${\rm{\Pi }}_1^0$-classes corresponding to computable trees of countable width. Classically, it is well-known that the analog to König’s Lemma—“every tree of countable width and uncountable height has an (...)
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  16.  3
    Computable Vs Descriptive Combinatorics of Local Problems on Trees.Felix Weilacher - forthcoming - Journal of Symbolic Logic:1-15.
    We study the position of the computable setting in the “common theory of locality” developed in [4, 5] for local problems on $\Delta $ -regular trees, $\Delta \in \omega $. We show that such a problem admits a computable solution on every highly computable $\Delta $ -regular forest if and only if it admits a Baire measurable solution on every Borel $\Delta $ -regular forest. We also show that if such a problem admits a computable solution (...)
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  17.  16
    Computing probability intervals with simulated annealing and probability trees.Andrés Cano, Juan M. Fernández-Luna & Serafín Moral - 2002 - Journal of Applied Non-Classical Logics 12 (2):151-171.
    This paper presents a method to compute a posteriori probability intervals when the initial conditional information is also given with probability intervals. The right way to make an exact computation is with the associated convex set of probabilities. Probability trees are used to represent these initial conditional convex sets because they greatly save the space required. This paper proposes a simulated annealing algorithm, which uses probability trees to represent the convex sets in order to compute the a posteriori intervals.
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  18.  4
    Coarse computability, the density metric, Hausdorff distances between Turing degrees, perfect trees, and reverse mathematics.Denis R. Hirschfeldt, Carl G. Jockusch & Paul E. Schupp - forthcoming - Journal of Mathematical Logic.
    For [Formula: see text], the coarse similarity class of [Formula: see text], denoted by [Formula: see text], is the set of all [Formula: see text] such that the symmetric difference of [Formula: see text] and [Formula: see text] has asymptotic density [Formula: see text]. There is a natural metric [Formula: see text] on the space [Formula: see text] of coarse similarity classes defined by letting [Formula: see text] be the upper density of the symmetric difference of [Formula: see text] and (...)
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  19.  52
    Reverse mathematics, computability, and partitions of trees.Jennifer Chubb, Jeffry L. Hirst & Timothy H. McNicholl - 2009 - Journal of Symbolic Logic 74 (1):201-215.
    We examine the reverse mathematics and computability theory of a form of Ramsey's theorem in which the linear n-tuples of a binary tree are colored.
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  20.  3
    Computing marginals for arbitrary subsets from marginal representation in Markov trees.Hong Xu - 1995 - Artificial Intelligence 74 (1):177-189.
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  21.  8
    Science, Computers, and People: From the Tree of MathematicsStanislaw Ulam Mark C. Reynolds Gian-Carlo Rota.William Aspray - 1988 - Isis 79 (4):702-703.
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  22.  37
    Computational complexity reduction and interpretability improvement of distance-based decision trees.Marcin Blachnik & Mirosław Kordos - 2012 - In Emilio Corchado, Vaclav Snasel, Ajith Abraham, Michał Woźniak, Manuel Grana & Sung-Bae Cho (eds.), Hybrid Artificial Intelligent Systems. Springer. pp. 288--297.
  23.  32
    The Porphyrian Tree and Multiple Inheritance. A Rejoinder to Tylman on Computer Science and Philosophy.Lorenz Demey - 2018 - Foundations of Science 23 (1):173-180.
    Tylman has recently pointed out some striking conceptual and methodological analogies between philosophy and computer science. In this paper, I focus on one of Tylman’s most convincing cases, viz. the similarity between Plato’s theory of Ideas and the object-oriented programming paradigm, and analyze it in some more detail. In particular, I argue that the platonic doctrine of the Porphyrian tree corresponds to the fact that most object-oriented programming languages do not support multiple inheritance. This analysis further reinforces Tylman’s point (...)
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  24.  11
    Monte-Carlo tree search and rapid action value estimation in computer Go.Sylvain Gelly & David Silver - 2011 - Artificial Intelligence 175 (11):1856-1875.
  25.  17
    On degree-preserving homeomorphisms between trees in computable topology.Iraj Kalantari & Larry Welch - 2008 - Archive for Mathematical Logic 46 (7-8):679-693.
    In this paper we first give a variant of a theorem of Jockusch–Lewis– Remmel on existence of a computable, degree-preserving homeomorphism between a bounded strong ${\Pi^0_2}$ class and a bounded ${\Pi^0_1}$ class in 2 ω . Namely, we show that for mathematically common and interesting topological spaces, such as computably presented ${\mathbb{R}^n}$ , we can obtain a similar result where the homeomorphism is in fact the identity mapping. Second, we apply this finding to give a new, priority-free proof of (...)
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  26.  11
    Phyloreferences: Tree-Native, Reproducible, and Machine-Interpretable Taxon Concepts.Nico Cellinese, Stijn Conix & Hilmar Lapp - 2022 - Philosophy, Theory, and Practice in Biology 14 (8).
    Evolutionary and organismal biology have become inundated with data. At the same rate, we are experiencing a surge in broader evolutionary and ecological syntheses for which tree-thinking is the staple for a variety of post-tree analyses. To fully take advantage of this wealth of data to discover and understand large-scale evolutionary and ecological patterns, computational data integration, i.e., the use of machines to link data at large scale, is crucial. The most common shared entity by which evolutionary and (...)
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  27.  10
    Doner John. Tree acceptors and some of their applications. Journal of computer and system sciences, vol. 4 , pp. 406–451. [REVIEW]Dirk Siefkes - 1972 - Journal of Symbolic Logic 37 (3):619-619.
  28.  72
    Game Trees For Decision Analysis.Prakash P. Shenoy - 1998 - Theory and Decision 44 (2):149-171.
    Game trees (or extensive-form games) were first defined by von Neumann and Morgenstern in 1944. In this paper we examine the use of game trees for representing Bayesian decision problems. We propose a method for solving game trees using local computation. This method is a special case of a method due to Wilson for computing equilibria in 2-person games. Game trees differ from decision trees in the representations of information constraints and uncertainty. We compare the game tree representation and (...)
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  29.  45
    Trees of history in systematics and philology.Robert J. O'Hara - 1996 - Memorie Della Società Italiana di Scienze Naturali E Del Museo Civico di Storia Naturale di Milano 27 (1): 81–88.
    "The Natural System" is the name given to the underlying arrangement present in the diversity of life. Unlike a classification, which is made up of classes and members, a system or arrangement is an integrated whole made up of connected parts. In the pre-evolutionary period a variety of forms were proposed for the Natural System, including maps, circles, stars, and abstract multidimensional objects. The trees sketched by Darwin in the 1830s should probably be considered the first genuine evolutionary diagrams of (...)
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  30. Seneca’s and Porphyry’s Trees in Modern Interpretation.Jens Lemanski - 2023 - In Jens Lemanski & Ingolf Max (eds.), Historia Logicae and its Modern Interpretation. London: College Publications. pp. 61-87.
    This paper presents an analysis of Seneca's 58th letter to Lucilius and Porphyry's Isagoge, which were the origin of the tree diagrams that became popular in philosophy and logic from the early Middle Ages onwards. These diagrams visualise the extent to which a concept can be understood as a category, genus, species or individual and what the method of dihairesis (division) means. The paper explores the dissimilarities between Seneca's and Porphyry's tree structures, scrutinising them through the perspective of (...)
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  31. Tree formulations of tense logic.Jack Copeland - manuscript
    The tense tree method extends Jeffrey’s well-known formulation of classical propositional logic to tense logic (Jeffrey 1991).1 Tense trees combine pure tense logic with features of Prior’s U-calculi (where ‘U’ is the earlier-than relation; see Prior 1967 and the Introduction to this volume). The tree method has a number of virtues: trees are well suited to computational applications; semantically, the tree systems presented here are no less illuminating than model theory; the metatheory associated with tree formulations (...)
     
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  32.  74
    Finite Trees in Tense Logic.Bellissima Fabio & Cittadini Saverio - 1999 - Studia Logica 62 (2):121-140.
    In this paper we show the adequacy of tense logic with unary operators for dealing with finite trees. We prove that models on finite trees can be characterized by tense formulas, and describe an effective method to find an axiomatization of the theory of a given finite tree in tense logic. The strength of the characterization is shown by proving that adding the binary operators "Until" and "Since" to the language does not result in a better description than that (...)
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  33.  7
    Finite Tree-Countermodels via Refutation Systems in Extensions of Positive Logic with Strong Negation.Tomasz Skura - 2023 - Logica Universalis 17 (4):433-441.
    A sufficient condition for an extension of positive logic with strong negation to be characterized by a class of finite trees is given.
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  34.  22
    The tree of tuples of a structure.Matthew Harrison-Trainor & Antonio Montalbán - 2022 - Journal of Symbolic Logic 87 (1):21-46.
    Our main result is that there exist structures which cannot be computably recovered from their tree of tuples. This implies that there are structures with no computable copies which nevertheless cannot code any information in a natural/functorial way.
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  35.  44
    The Computational Origin of Representation.Steven T. Piantadosi - 2020 - Minds and Machines 31 (1):1-58.
    Each of our theories of mental representation provides some insight into how the mind works. However, these insights often seem incompatible, as the debates between symbolic, dynamical, emergentist, sub-symbolic, and grounded approaches to cognition attest. Mental representations—whatever they are—must share many features with each of our theories of representation, and yet there are few hypotheses about how a synthesis could be possible. Here, I develop a theory of the underpinnings of symbolic cognition that shows how sub-symbolic dynamics may give rise (...)
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  36. Growth units construction in trees: A stochastic approach.Ph Reffye, E. Elguero & E. Costes - 1991 - Acta Biotheoretica 39 (3-4).
    Trees architectural study shows gradients in the meristematic activity. This activity is described by the number of internodes per growth unit, which is considered as the output of a dynamic random process. Several species were observed, which led us to propose and then estimate some mathematical models. Computing the functioning of a tree in a given environment therefore involves finding the probability function of the meristems and following the evolution of the parameters of this law along the botanical gradients (...)
     
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  37.  8
    Degrees of categoricity of trees and the isomorphism problem.Mohammad Assem Mahmoud - 2019 - Mathematical Logic Quarterly 65 (3):293-304.
    In this paper, we show that for any computable ordinal α, there exists a computable tree of rank with strong degree of categoricity if α is finite, and with strong degree of categoricity if α is infinite. In fact, these are the greatest possible degrees of categoricity for such trees. For a computable limit ordinal α, we show that there is a computable tree of rank α with strong degree of categoricity (which equals ). (...)
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  38.  36
    A Computational Evaluation of Sentence Processing Deficits in Aphasia.Umesh Patil, Sandra Hanne, Frank Burchert, Ria De Bleser & Shravan Vasishth - 2016 - Cognitive Science 40 (1):5-50.
    Individuals with agrammatic Broca's aphasia experience difficulty when processing reversible non-canonical sentences. Different accounts have been proposed to explain this phenomenon. The Trace Deletion account attributes this deficit to an impairment in syntactic representations, whereas others propose that the underlying structural representations are unimpaired, but sentence comprehension is affected by processing deficits, such as slow lexical activation, reduction in memory resources, slowed processing and/or intermittent deficiency, among others. We test the claims of two processing accounts, slowed processing and intermittent deficiency, (...)
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  39. CSsEv: Modelling QoS Metrics in Tree Soft Toward Cloud Services Evaluator based on Uncertainty Environment.Mona Gharib, Florentin Smarandache & Mona Mohamed - 2024 - International Journal of Neutrosophic Science 23 (2):32-41.
    Cloud computing (ClC) has become a more popular computer paradigm in the preceding few years. Quality of Service (QoS) is becoming a crucial issue in service alteration because of the rapid growth in the number of cloud services. When evaluating cloud service functioning using several performance measures, the issue becomes more complex and non-trivial. It is therefore quite difficult and crucial for consumers to choose the best cloud service. The user's choices are provided in a quantifiable manner in the current (...)
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  40. Session 2A-Approximation Algorithms-A 6-Approximation Algorithm for Computing Smallest Common AoN-Supertree with Application to the Reconstruction of Glycan Trees. [REVIEW]Kiyoko F. Aoki-Kinoshita, Minoru Kanehisa, Ming-Yang Kao, Xiang-Yang Li & Weizhao Wang - 2006 - In O. Stock & M. Schaerf (eds.), Lecture Notes in Computer Science. Springer Verlag. pp. 100-110.
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  41.  29
    The computational complexity of hybrid temporal logics.C. Areces, P. Blackburn & M. Marx - 2000 - Logic Journal of the IGPL 8 (5):653-679.
    In their simplest form, hybrid languages are propositional modal languages which can refer to states. They were introduced by Arthur Prior, the inventor of tense logic, and played an important role in his work: because they make reference to specific times possible, they remove the most serious obstacle to developing modal approaches to temporal representation and reasoning. However very little is known about the computational complexity of hybrid temporal logics.In this paper we analyze the complexity of the satisfiability problem of (...)
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  42.  34
    Computing Nature–A Network of Networks of Concurrent Information Processes.Gordana Dodig-Crnkovic & Raffaela Giovagnoli - 2013 - In Gordana Dodig-Crnkovic Raffaela Giovagnoli (ed.), Computing Nature. pp. 1--22.
    This text presents the research field of natural/unconventional computing as it appears in the book COMPUTING NATURE. The articles discussed consist a selection of works from the Symposium on Natural Computing at AISB-IACAP (British Society for the Study of Artificial Intelligence and the Simulation of Behaviour and The International Association for Computing and Philosophy) World Congress 2012, held at the University of Birmingham, celebrating Turing centenary. The COMPUTING NATURE is about nature considered as the totality of physical existence, the universe. (...)
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  43.  42
    Iterated trees of strategies and priority arguments.Steffen Lempp & Manuel Lerman - 1997 - Archive for Mathematical Logic 36 (4-5):297-312.
    We describe the motivation for the construction of a general framework for priority arguments, the ideas incorporated into the construction of the framework, and the use of the framework to prove theorems in computability theory which require priority arguments.
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  44.  45
    Population-genetic trees, maps, and narratives of the great human diasporas.Marianne Sommer - 2015 - History of the Human Sciences 28 (5):108-145.
    From the 1960s, mathematical and computational tools have been developed to arrive at human population trees from various kinds of serological and molecular data. Focusing on the work of the Italian-born population geneticist Luigi Luca Cavalli-Sforza, I follow the practices of tree-building and mapping from the early blood-group studies to the current genetic admixture research. I argue that the visual language of the tree is paralleled in the narrative of the human diasporas, and I show how the (...) was actually mapped onto the surface of the earth. This visual and textual structure is mirrored in the liberal discourse of unity in diversity that has been criticized as running counter to the socio-political effects of human population genetics. From this perspective, one may ask how far the phylogenetic diagram in its various forms is a manifestation of the physics of power that according to Michel Foucault consists in mechanisms that analyse distributions, movements, series, combinations, and that uses instruments to render visible, to register, to differentiate and to compare. It is one among other disciplinary technologies that ensure the ordering of human diversity. In the case of intra-human phylogenetic trees, population samples and labels are one issue. Another is that the separated branches seem to show groups of people, who have in reality been interacting and converging, as isolated. Often based on so-called isolated peoples, molecular tree diagrams freeze a hierarchical kinship system that is meant to represent a state before the great historical population movements. (shrink)
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  45.  9
    The Computational Challenges of Means Selection Problems: Network Structure of Goal Systems Predicts Human Performance.Daniel Reichman, Falk Lieder, David D. Bourgin, Nimrod Talmon & Thomas L. Griffiths - 2023 - Cognitive Science 47 (8):e13330.
    We study human performance in two classical NP‐hard optimization problems: Set Cover and Maximum Coverage. We suggest that Set Cover and Max Coverage are related to means selection problems that arise in human problem‐solving and in pursuing multiple goals: The relationship between goals and means is expressed as a bipartite graph where edges between means and goals indicate which means can be used to achieve which goals. While these problems are believed to be computationally intractable in general, they become more (...)
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  46. On d-trees, beans, and b-accents.Daniel Büring - 2003 - Linguistics and Philosophy 26 (5):511 - 545.
    This paper presents a comprehensive pragmatic theory of contrastive topic and its relation to focus in English. In discussing various constructions involving contrastive topics, it argues that they make reference to complex, hierarchical aspects of discourse structure. In this, it follows and spells out a proposal sketched in Roberts (1996, p. 121ff),using the formal tools found in Büring (1994,1997b). It improves on existing accounts in the accuracy with which it predicts the non-occurrence of the accent patterns associated with focus and (...)
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  47.  15
    Growth units construction in trees: A stochastic approach.Ph de Reffye, E. Elguero & E. Costes - 1991 - Acta Biotheoretica 39 (3-4):325-342.
    Trees architectural study shows gradients in the meristematic activity. This activity is described by the number of internodes per growth unit, which is considered as the output of a dynamic random process. Several species were observed, which led us to propose and then estimate some mathematical models. Computing the functioning of a tree in a given environment therefore involves finding the probability function of the meristems and following the evolution of the parameters of this law along the botanical gradients (...)
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  48.  59
    Bridging computational, formal and psycholinguistic approaches to language.Shimon Edelman - unknown
    We compare our model of unsupervised learning of linguistic structures, ADIOS [1, 2, 3], to some recent work in computational linguistics and in grammar theory. Our approach resembles the Construction Grammar in its general philosophy (e.g., in its reliance on structural generalizations rather than on syntax projected by the lexicon, as in the current generative theories), and the Tree Adjoining Grammar in its computational characteristics (e.g., in its apparent affinity with Mildly Context Sensitive Languages). The representations learned by our (...)
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  49.  6
    On Binary Computation Structures.Bernhard Heinemann - 1997 - Mathematical Logic Quarterly 43 (2):203-215.
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  50. Computing Nature.Gordana Dodig-Crncovic & Raffaela Giovagnoli - 2013 - Springer.
    The articles in this volume present a selection of works from the Symposium on Natu-ral/Unconventional Computing at AISB/IACAP (British Society for the Study of Artificial Intelligence and the Simulation of Behaviour and The International Association for Computing and Philosophy) World Congress 2012, held at the University of Birmingham, celebrating Turing centenary. This book is about nature considered as the totality of physical existence, the universe. By physical we mean all phenomena - objects and processes - that are possible to detect (...)
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