Results 1 to 10 of about 7,543 (188)
Modal Ω-Logic: Automata, Neo-Logicism, and Set-Theoretic Realism [PDF]
This essay examines the philosophical significance of $\Omega$-logic in Zermelo-Fraenkel set theory with choice (ZFC). The duality between coalgebra and algebra permits Boolean-valued algebraic models of ZFC to be interpreted as coalgebras.
A Baltag +45 more
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Orthomodular-Valued Models for Quantum Set Theory [PDF]
In 1981, Takeuti introduced quantum set theory by constructing a model of set theory based on quantum logic represented by the lattice of closed linear subspaces of a Hilbert space in a manner analogous to Boolean-valued models of set theory, and showed ...
Araki +11 more
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Generic absoluteness and boolean names for elements of a Polish space [PDF]
It is common knowledge in the set theory community that there exists a duality relating the commutative $C^*$-algebras with the family of $B$-names for complex numbers in a boolean valued model for set theory $V^B$.
Vaccaro, Andrea, Viale, Matteo
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Infinite time decidable equivalence relation theory [PDF]
We introduce an analog of the theory of Borel equivalence relations in which we study equivalence relations that are decidable by an infinite time Turing machine.
Coskey, Samuel, Hamkins, Joel David
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An Individual-based Probabilistic Model for Fish Stock Simulation [PDF]
We define an individual-based probabilistic model of a sole (Solea solea) behaviour. The individual model is given in terms of an Extended Probabilistic Discrete Timed Automaton (EPDTA), a new formalism that is introduced in the paper and that is shown ...
Buti, Federico +5 more
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The resurrection axioms are forcing axioms introduced recently by Hamkins and Johnstone, developing on ideas of Chalons and Velickovi\'c. We introduce a stronger form of resurrection axioms (the \emph{iterated} resurrection axioms $\textrm{RA}_\alpha ...
Audrito, Giorgio, Viale, Matteo
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TreatJS: Higher-Order Contracts for JavaScript [PDF]
TreatJS is a language embedded, higher-order contract system for JavaScript which enforces contracts by run-time monitoring. Beyond providing the standard abstractions for building higher-order contracts (base, function, and object contracts), TreatJS's ...
Keil, Matthias, Thiemann, Peter
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Context-driven progressive enhancement of mobile web applications: a multicriteria decision-making approach [PDF]
Personal computing has become all about mobile and embedded devices. As a result, the adoption rate of smartphones is rapidly increasing and this trend has set a need for mobile applications to be available at anytime, anywhere and on any device. Despite
Desruelle, Heïko, Gielen, Frank
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In this commemorative article, the work of Richard Laver is surveyed in its full range and extent.Accepted ...
Kanamori, Akihiro
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The prospects for mathematical logic in the twenty-first century [PDF]
The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory and logic for computer science, model theory, and set theory are discussed ...
Alexander S. Kechris +4 more
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