Results for 'Model of tree'

994 found
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  1.  22
    Protectors of Wellbeing During the COVID-19 Pandemic: Key Roles for Gratitude and Tragic Optimism in a UK-Based Cohort.Jessica P. Mead, Zoe Fisher, Jeremy J. Tree, Paul T. P. Wong & Andrew H. Kemp - 2021 - Frontiers in Psychology 12.
    The COVID-19 pandemic has presented a global threat to physical and mental health worldwide. Research has highlighted adverse impacts of COVID-19 on wellbeing but has yet to offer insights as to how wellbeing may be protected. Inspired by developments in wellbeing science and guided by our own theoretical framework, we examined the role of various potentially protective factors in a sample of 138 participants from the United Kingdom. Protective factors included physical activity, tragic optimism, gratitude, social support, and nature connectedness. (...)
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  2.  8
    Can Machines Find the Bilingual Advantage? Machine Learning Algorithms Find No Evidence to Differentiate Between Lifelong Bilingual and Monolingual Cognitive Profiles.Samuel Kyle Jones, Jodie Davies-Thompson & Jeremy Tree - 2021 - Frontiers in Human Neuroscience 15.
    Bilingualism has been identified as a potential cognitive factor linked to delayed onset of dementia as well as boosting executive functions in healthy individuals. However, more recently, this claim has been called into question following several failed replications. It remains unclear whether these contradictory findings reflect how bilingualism is defined between studies, or methodological limitations when measuring the bilingual effect. One key issue is that despite the claims that bilingualism yields general protection to cognitive processes, studies reporting putative bilingual differences (...)
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  3. The rationality of science: Why bother?Philosophical Models of Scientific Change - 1992 - In W. Newton-Smith, Tʻien-chi Chiang & E. James (eds.), Popper in China. Routledge.
     
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  4. Hubert L. Dreyfus and Stuart E. Dreyfus.Model Of Rationality - 1978 - In A. Hooker, J. J. Leach & E. F. McClennen (eds.), Foundations and Applications of Decision Theory. D. Reidel. pp. 115.
  5.  25
    McCall's Branched-Tree Model of the Universe.David MacCallum - 1997 - Dialogue 36 (1):171-.
    Imagine a model of the universe that, if true and known to be true, would solve the following philosophical problems: the direction and flow of time, an ontology for laws of nature, the interpretation of quantum mechanics, the interpretation of probability, a semantics for counterfactuals, trans-world and trans-temporal identity, essentialism and natural kinds, and free will and responsibility. The successful solution to these problems would convince most of us that we should, at the very least, give this model (...)
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  6.  19
    Decision-tree models of categorization response times, choice proportions, and typicality judgments.Daniel Lafond, Yves Lacouture & Andrew L. Cohen - 2009 - Psychological Review 116 (4):833-855.
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  7. Every Rooted Narrow Tree Kripke Model of HA is Locally PA.Mohammad Ardeshir & Bardyaa Hesaam - 2002 - Mathematical Logic Quarterly 48 (3):391-395.
    We prove that every infinite rooted narrow tree Kripke model of HA is locally PA.
     
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  8.  19
    On model-theoretic tree properties.Artem Chernikov & Nicholas Ramsey - 2016 - Journal of Mathematical Logic 16 (2):1650009.
    We study model theoretic tree properties and their associated cardinal invariants. In particular, we obtain a quantitative refinement of Shelah’s theorem for countable theories, show that [Formula: see text] is always witnessed by a formula in a single variable and that weak [Formula: see text] is equivalent to [Formula: see text]. Besides, we give a characterization of [Formula: see text] via a version of independent amalgamation of types and apply this criterion to verify that some examples in the (...)
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  9. GT Csanady Department of Mechanical Engineering, University of Waterloo.Simple Analytical Models Of Wind-Driven - 1968 - In Peter Koestenbaum (ed.), Proceedings. [San Jose? Calif.,: [San Jose? Calif.. pp. 371.
     
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  10. On this page.A. Structural Model Of Turnout & In Voting - 2011 - Emergence: Complexity and Organization 9 (4).
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  11.  13
    The Metaphors Of Tree And Fruıt On Mystıcal Poetry:The Model Of Gaybı.Kamile ÇETİN - 2008 - Journal of Turkish Studies 3:194-208.
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  12.  30
    A hierarchy of tree-automatic structures.Olivier Finkel & Stevo Todorčević - 2012 - Journal of Symbolic Logic 77 (1):350-368.
    We consider ω n -automatic structures which are relational structures whose domain and relations are accepted by automata reading ordinal words of length ω n for some integer n ≥ 1. We show that all these structures are ω-tree-automatic structures presentable by Muller or Rabin tree automata. We prove that the isomorphism relation for ω 2 -automatic (resp. ω n -automatic for n > 2) boolean algebras (respectively, partial orders, rings, commutative rings, non commutative rings, non commutative groups) (...)
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  13.  31
    The Equivalence of Tree Adjoining Grammars and Monadic Linear Context-free Tree Grammars.Stephan Kepser & Jim Rogers - 2011 - Journal of Logic, Language and Information 20 (3):361-384.
    The equivalence of leaf languages of tree adjoining grammars and monadic linear context-free grammars was shown about a decade ago. This paper presents a proof of the strong equivalence of these grammar formalisms. Non-strict tree adjoining grammars and monadic linear context-free grammars define the same class of tree languages. We also present a logical characterisation of this tree language class showing that a tree language is a member of this class iff it is the two-dimensional (...)
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  14. 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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  15.  30
    Chain models, trees of singular cardinality and dynamic ef-games.Mirna Džamonja & Jouko Väänänen - 2011 - Journal of Mathematical Logic 11 (1):61-85.
    Let κ be a singular cardinal. Karp's notion of a chain model of size κ is defined to be an ordinary model of size κ along with a decomposition of it into an increasing union of length cf. With a notion of satisfaction and -isomorphism such models give an infinitary logic largely mimicking first order logic. In this paper we associate to this logic a notion of a dynamic EF-game which gauges when two chain models are chain-isomorphic. To (...)
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  16.  47
    J. B. Paris. A hierarchy of cuts in models of arithmetic. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 312–337. - George Mills. A tree analysis of unprovable combinatorial statements. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, pp. 248–311. - Jussi Ketonen and Robert Solovay. Rapidly growing Ramsey functions. Annals of mathematics, ser. 2 vol. 113 , pp. 267–314. [REVIEW]A. J. Wilkie - 1986 - Journal of Symbolic Logic 51 (4):1062-1066.
  17.  38
    Review: J. B. Paris, L. Pacholski, J. Wierzejewski, A. J. Wilkie, A Hierarchy of Cuts in Models of Arithmetic; George Mills, A Tree Analysis of Unprovable Combinatorial Statements; Jussi Ketonen, Robert Solovay, Rapidly Growing Ramsey Functions. [REVIEW]A. J. Wilkie - 1986 - Journal of Symbolic Logic 51 (4):1062-1066.
  18.  40
    An extended model of natural logic.Christopher D. Manning & Bill MacCartney - unknown
    We propose a model of natural language inference which identifies valid inferences by their lexical and syntactic features, without full semantic interpretation. We extend past work in natural logic, which has focused on semantic containment and monotonicity, by incorporating both semantic exclusion and implicativity. Our model decomposes an inference problem into a sequence of atomic edits linking premise to hypothesis; predicts a lexical semantic relation for each edit; propagates these relations upward through a semantic composition tree according (...)
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  19.  17
    The structure of the models of decidable monadic theories of graphs.D. Seese - 1991 - Annals of Pure and Applied Logic 53 (2):169-195.
    In this article the structure of the models of decidable monadic theories of planar graphs is investigated. It is shown that if the monadic theory of a class K of planar graphs is decidable, then the tree-width in the sense of Robertson and Seymour of the elements of K is universally bounded and there is a class T of trees such that the monadic theory of K is interpretable in the monadic theory of T.
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  20.  45
    A model in which the base-matrix tree cannot have cofinal branches.Peter Lars Dordal - 1987 - Journal of Symbolic Logic 52 (3):651-664.
    A model of ZFC is constructed in which the distributivity cardinal h is 2 ℵ 0 = ℵ 2 , and in which there are no ω 2 -towers in [ω] ω . As an immediate corollary, it follows that any base-matrix tree in this model has no cofinal branches. The model is constructed via a form of iterated Mathias forcing, in which a mixture of finite and countable supports is used.
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  21.  44
    Towards a general model of applying science.Rens Bod - 2006 - International Studies in the Philosophy of Science 20 (1):5 – 25.
    How is scientific knowledge used, adapted, and extended in deriving phenomena and real-world systems? This paper aims at developing a general account of 'applying science' within the exemplar-based framework of Data-Oriented Processing (DOP), which is also known as Exemplar-Based Explanation (EBE). According to the exemplar-based paradigm, phenomena are explained not by deriving them all the way down from theoretical laws and boundary conditions but by modelling them on previously derived phenomena that function as exemplars. To accomplish this, DOP proposes to (...)
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  22.  56
    Power-like models of set theory.Ali Enayat - 2001 - Journal of Symbolic Logic 66 (4):1766-1782.
    A model M = (M, E,...) of Zermelo-Fraenkel set theory ZF is said to be θ-like, where E interprets ∈ and θ is an uncountable cardinal, if |M| = θ but $|\{b \in M: bEa\}| for each a ∈ M. An immediate corollary of the classical theorem of Keisler and Morley on elementary end extensions of models of set theory is that every consistent extension of ZF has an ℵ 1 -like model. Coupled with Chang's two cardinal theorem (...)
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  23.  6
    A Computational Model of Wason's Selection Task.Emmanuel Genot - unknown
    We apply an algorithmic learning model of inquiry to model reasoning carried by experimental subjects in Wason's _Selection Task_ that represents reasoning in the task as computation of a decision tree that supervenes on semantic representations. We argue that the resulting model improves on previous probabilistic and pragmatic models of the task. In particular, it suggests that subjects' selection could in fact be guided by sophisticated patterns of argumentative reasoning.
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  24.  13
    Use of Model Tree and Gene Expression Programming to Predict the Suspended Sediment Load in Rivers.M. Janga Reddy & Bhola N. S. Ghimire - 2009 - Journal of Intelligent Systems 18 (3):211-228.
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  25.  56
    On Scott and Karp trees of uncountable models.Tapani Hyttinen & Jouko Väänänen - 1990 - Journal of Symbolic Logic 55 (3):897-908.
    Let U and B be two countable relational models of the same first order language. If the models are nonisomorphic, there is a unique countable ordinal α with the property that $\mathfrak{U} \equiv^\alpha_{\infty\omega} \mathfrak{B} \text{but not} \mathfrak{U} \equiv^{\alpha + 1}_{\infty\omega} \mathfrak{B},$ i.e. U and B are L ∞ω -equivalent up to quantifier-rank α but not up to α + 1. In this paper we consider models U and B of cardinality ω 1 and construct trees which have a similar relation (...)
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  26.  35
    From Exemplar to Grammar: A Probabilistic Analogy‐Based Model of Language Learning.Rens Bod - 2009 - Cognitive Science 33 (5):752-793.
    While rules and exemplars are usually viewed as opposites, this paper argues that they form end points of the same distribution. By representing both rules and exemplars as (partial) trees, we can take into account the fluid middle ground between the two extremes. This insight is the starting point for a new theory of language learning that is based on the following idea: If a language learner does not know which phrase‐structure trees should be assigned to initial sentences, s/he allows (...)
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  27.  43
    Expressive completeness of temporal logic of trees.Bernd-Holger Schlingloff - 1992 - Journal of Applied Non-Classical Logics 2 (2):157-180.
    ABSTRACT Many temporal and modal logic languages can be regarded as subsets of first order logic, i.e. the semantics of a temporal logic formula is given as a first order condition on points of the underlying models (Kripke structures). Often the set of possible models is restricted to models which are trees. A temporal logic language is (first order) expressively complete, if for every first order condition for a node of a tree there exists an equivalent temporal formula which (...)
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  28.  17
    Application and Analysis of Multicast Blocking Modelling in Fat-Tree Data Center Networks.Guozhi Li, Songtao Guo, Guiyan Liu & Yuanyuan Yang - 2018 - Complexity 2018:1-12.
    Multicast can improve network performance by eliminating unnecessary duplicated flows in the data center networks. Thus it can significantly save network bandwidth. However, the network multicast blocking may cause the retransmission of a large number of data packets and seriously influence the traffic efficiency in data center networks, especially in the fat-tree DCNs with multirooted tree structure. In this paper, we build a multicast blocking model and apply it to solve the problem of network blocking in the (...)
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  29.  8
    Placing like in telling stories.Jean E. Fox Tree - 2006 - Discourse Studies 8 (6):723-743.
    The discourse marker use of the word like is considered by many to be superfluously sprinkled into talk, a bad habit best avoided. But a comparison of the use of like in successive tellings of stories demonstrates that like can be anticipated in advance and planned into stories. In this way, like is similar to other words and phrases tellers recycle during story telling. The anticipation of like contrasted with the uses of other discourse markers such as oh, you know, (...)
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  30.  9
    Discourse markers in writing.Jean E. Fox Tree - 2015 - Discourse Studies 17 (1):64-82.
    Words like well, oh, and you know have long been observed and studied in spontaneous speech. With the proliferation of on-line dialogues, such as instant messaging between friends or back-and-forth postings at websites, there are increasing opportunities to observe them in spontaneous writing. In Experiment 1, the interpretation of discourse markers in on-line debates was compared to proposed functions of those markers identified in other settings. In Experiment 2, the use of discourse markers in spontaneous speech was compared to their (...)
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  31.  56
    Experiential learning of empathy in a care-ethics lab.Linus Vanlaere, Trees Coucke & Chris Gastmans - 2010 - Nursing Ethics 17 (3):325-336.
    To generate empathy in the care of vulnerable older persons requires care providers to reflect critically on their care practices. Ethics education and training must provide them with tools to accomplish such critical reflection. It must also create a pedagogical context in which good care can be taught and cultivated. The care-ethics lab ‘sTimul’ originated in 2008 in Flanders with the stimulation of ethical reflection in care providers and care providers in training as its main goal. Also in 2008, sTimul (...)
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  32.  61
    The tree property at successors of singular cardinals.Menachem Magidor & Saharon Shelah - 1996 - Archive for Mathematical Logic 35 (5-6):385-404.
    Assuming some large cardinals, a model of ZFC is obtained in which $\aleph_{\omega+1}$ carries no Aronszajn trees. It is also shown that if $\lambda$ is a singular limit of strongly compact cardinals, then $\lambda^+$ carries no Aronszajn trees.
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  33.  6
    Early Detection of College Students' Psychological Problems Based on Decision Tree Model.Yunpeng Huang, Shaoan Li, Bo Lin, Shuai Ma, Jian Guo & Chunli Wang - 2022 - Frontiers in Psychology 13.
    The paper starts with the research on the early discovery of college students' psychological problems. Besides, it analyzes the data of the general survey of college students' mental health in a certain university, the existing data of students with psychological problems, and the questionnaire data of students' basic information in school. By comprehensively using the decision tree model and Kendall correlation analysis and other methods, using Python and SPSS software to preprocess the data and realize the model, (...)
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  34.  18
    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 is complete for (...)
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  35.  8
    Recognizing Verbal Irony in Spontaneous Speech.Gregory A. Bryant & Jean E. Fox Tree - 2002 - Metaphor and Symbol 17 (2):99-119.
    We explored the differential impact of auditory information and written contextual information on the recognition of verbal irony in spontaneous speech. Based on relevance theory, we predicted that speakers would provide acoustic disambiguation cues when speaking in situations that lack other sources of information, such as a visual channel. We further predicted that listeners would use this information, in addition to context, when interpreting the utterances. People were presented with spontaneously produced ironic and nonironic utterances from radio talk shows in (...)
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  36.  50
    Tree models and (labeled) categorial grammar.Yde Venema - 1996 - Journal of Logic, Language and Information 5 (3-4):253-277.
    This paper studies the relation between some extensions of the non-associative Lambek Calculus NL and their interpretation in tree models (free groupoids). We give various examples of sequents that are valid in tree models, but not derivable in NL. We argue why tree models may not be axiomatizable if we add finitely many derivation rules to NL, and proceed to consider labeled calculi instead.We define two labeled categorial calculi, and prove soundness and completeness for interpretations that are (...)
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  37.  24
    A model in which every Kurepa tree is thick.Renling Jin - 1991 - Notre Dame Journal of Formal Logic 33 (1):120-125.
  38.  44
    Improving a Bounding Result That Constructs Models of High Scott Rank.Christina Goddard - 2016 - Notre Dame Journal of Formal Logic 57 (1):59-71.
    Let $T$ be a theory in a countable fragment of $\mathcal{L}_{\omega_{1},\omega}$ whose extensions in countable fragments have only countably many types. Sacks proves a bounding theorem that generates models of high Scott rank. For this theorem, a tree hierarchy is developed for $T$ that enumerates these extensions. In this paper, we effectively construct a predecessor function for formulas defining types in this tree hierarchy as follows. Let $T_{\gamma}\subseteq T_{\delta}$ with $T_{\gamma}$- and $T_{\delta}$-theories on level $\gamma$ and $\delta$, respectively. (...)
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  39. 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 (...)
     
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  40.  42
    Aronszajn trees and the successors of a singular cardinal.Spencer Unger - 2013 - Archive for Mathematical Logic 52 (5-6):483-496.
    From large cardinals we obtain the consistency of the existence of a singular cardinal κ of cofinality ω at which the Singular Cardinals Hypothesis fails, there is a bad scale at κ and κ ++ has the tree property. In particular this model has no special κ +-trees.
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  41.  29
    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.
  42.  18
    The tree of life describes a tripartite cellular world.Arshan Nasir, Fizza Mughal & Gustavo Caetano-Anollés - 2021 - Bioessays 43 (6):2000343.
    The canonical view of a 3‐domain (3D) tree of life was recently challenged by the discovery of Asgardarchaeota encoding eukaryote signature proteins (ESPs), which were treated as missing links of a 2‐domain (2D) tree. Here we revisit the debate. We discuss methodological limitations of building trees with alignment‐dependent approaches, which often fail to satisfactorily address the problem of ‘‘gaps.’’ In addition, most phylogenies are reconstructed unrooted, neglecting the power of direct rooting methods. Alignment‐free methodologies lift most difficulties but (...)
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  43.  24
    Overhearers Use Addressee Backchannels in Dialog Comprehension.Jackson Tolins & Jean E. Fox Tree - 2016 - Cognitive Science 40 (6):1412-1434.
    Observing others in conversation is a common format for comprehending language, yet little work has been done to understand dialog comprehension. We tested whether overhearers use addressee backchannels as predictive cues for how to integrate information across speaker turns during comprehension of spontaneously produced collaborative narration. In Experiment 1, words that followed specific backchannels were recognized more slowly than words that followed either generic backchannels or pauses. In Experiment 2, we found that when the turn after the backchannel was a (...)
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  44.  18
    How complicated is the set of stable models of a recursive logic program?W. Marek, A. Nerode & J. Remmel - 1992 - Annals of Pure and Applied Logic 56 (1-3):119-135.
    Gelfond and Lifschitz proposed the notion of a stable model of a logic program. We establish that the set of all stable models in a Herbrand universe of a recursive logic program is, up to recursive renaming, the set of all infinite paths of a recursive, countably branching tree, and conversely. As a consequence, the problem, given a recursive logic program, of determining whether it has at least one stable model, is Σ11-complete. Due to the equivalences established (...)
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  45.  4
    Trees and Stationary Reflection at Double Successors of Regular Cardinals.Thomas Gilton, Maxwell Levine & Šárka Stejskalová - forthcoming - Journal of Symbolic Logic:1-31.
    We obtain an array of consistency results concerning trees and stationary reflection at double successors of regular cardinals $\kappa $, updating some classical constructions in the process. This includes models of $\mathsf {CSR}(\kappa ^{++})\wedge {\sf TP}(\kappa ^{++})$ (both with and without ${\sf AP}(\kappa ^{++})$ ) and models of the conjunctions ${\sf SR}(\kappa ^{++}) \wedge \mathsf {wTP}(\kappa ^{++}) \wedge {\sf AP}(\kappa ^{++})$ and $\neg {\sf AP}(\kappa ^{++}) \wedge {\sf SR}(\kappa ^{++})$ (the latter was originally obtained in joint work by Krueger and (...)
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  46.  73
    DFT-D: a cognitive-dynamical model of dynamic decision making.Jared M. Hotaling & Jerome R. Busemeyer - 2012 - Synthese 189 (S1):67-80.
    The study of decision making has traditionally been dominated by axiomatic utility theories. More recently, an alternative approach, which focuses on the micro-mechanisms of the underlying deliberation process, has been shown to account for several "paradoxes" in human choice behavior for which simple utility-based approaches cannot. Decision field theory (DFT) is a cognitive-dynamical model of decision making and preferential choice, built on the fundamental principle that decisions are based on the accumulation of subjective evaluations of choice alternatives until a (...)
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  47.  12
    Epigenetics across the evolutionary tree: New paradigms from non‐model animals.Kirsten C. Sadler - 2023 - Bioessays 45 (1):2200036.
    All animals have evolved solutions to manage their genomes, enabling the efficient organization of meters of DNA strands in the nucleus and allowing for nuanced regulation of gene expression while keeping transposable elements suppressed. Epigenetic modifications are central to accomplishing all these. Recent advances in sequencing technologies and the development of techniques that profile epigenetic marks and chromatin accessibility using reagents that can be used in any species has catapulted epigenomic studies in diverse animal species, shedding light on the multitude (...)
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  48.  24
    Listeners’ comprehension of uptalk in spontaneous speech.John M. Tomlinson & Jean E. Fox Tree - 2011 - Cognition 119 (1):58-69.
  49.  15
    Re-envisioning Tangintebu Theological College in the context of climate change: An emerging model of coconut theological education and ministerial formation.Tioti Timon, Chammah J. Kaunda & Roderick R. Hewitt - 2019 - HTS Theological Studies 75 (1):8.
    This article engages through an interdisciplinary approach to re-envision Tangintebu Theological College’s (TTC) model of theological education in the context of climate change in Kiribati. It utilises the anthropological theory of symbolic interactionism within missiological, cultural and, theological studies of climate change. It argues for the coconut tree as an appropriate cultural conceptual metaphorical idiom for translating and understanding Christian faith and shaping a theological pedagogy within the Kiribati context of climate change. The coconut image is an indigenous, (...)
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  50.  16
    Indestructibility of the tree property.Radek Honzik & Šárka Stejskalová - 2020 - Journal of Symbolic Logic 85 (1):467-485.
    In the first part of the article, we show that if $\omega \le \kappa < \lambda$ are cardinals, ${\kappa ^{ < \kappa }} = \kappa$, and λ is weakly compact, then in $V\left[M {\left} \right]$ the tree property at $$\lambda = \left^{V\left[ {\left} \right]} $$ is indestructible under all ${\kappa ^ + }$-cc forcing notions which live in $V\left[ {{\rm{Add}}\left} \right]$, where ${\rm{Add}}\left$ is the Cohen forcing for adding λ-many subsets of κ and $\left$ is the standard Mitchell forcing (...)
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