Results 1 to 10 of about 70,846 (249)
Strongly Complete Logics for Coalgebras [PDF]
Coalgebras for a functor model different types of transition systems in a uniform way. This paper focuses on a uniform account of finitary logics for set-based coalgebras.
Alexander Kurz, Jiri Rosicky
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An expressive completeness theorem for coalgebraic modal mu-calculi [PDF]
Generalizing standard monadic second-order logic for Kripke models, we introduce monadic second-order logic interpreted over coalgebras for an arbitrary set functor. We then consider invariance under behavioral equivalence of MSO-formulas.
Sebastian Enqvist +2 more
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What is category theory to cognitive science? Compositional representation and comparison [PDF]
Category theorists and cognitive scientists study the structural (analogical) relations between domains of interest albeit in different contexts, that is, formal and psychological systems, respectively.
Steven Phillips
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Predicting Change in Emotion through Ordinal Patterns and Simple Symbolic Expressions
Human interlocutors may use emotions as an important signaling device for coordinating an interaction. In this context, predicting a significant change in a speaker’s emotion may be important for regulating the interaction.
Yair Neuman, Yochai Cohen
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Geometrical properties of the space of idempotent probability measures
Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
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Complete version, added more material, small corrections; 40 pages, 1 ...
Wiesław Kubiś, Dragan Mašulović
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In this short communication we prove that the subspace Pn,n−1(X)of all probability measures P(X), whose supports consist of exactly n points is an (n−1)-dimensional topological manifold.
Mikhail V. Dolgopolov +1 more
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New directions in general fuzzy automata: a dynamic-logical view [PDF]
In the current study, by a general fuzzy automaton we aim at showing a set of propositions related to a given automaton showing that the truth-values are depended on thestates, inputs and membership values of active states at time t.
Khadijeh Abolpour +2 more
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The Information Loss of a Stochastic Map
We provide a stochastic extension of the Baez–Fritz–Leinster characterization of the Shannon information loss associated with a measure-preserving function. This recovers the conditional entropy and a closely related information-theoretic measure that we
James Fullwood, Arthur J. Parzygnat
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On paracompact spaces and projectively inductively closed functors
In this paper we introduce a notion of projectively inductively closed functor (p.i.c.-functor). We give sufficient conditions for a functor to be a p.i.c.-functor. In particular, any finitary normal functor is a p.i.c.-functor.
T.F. Zhuraev
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