Results 21 to 30 of about 90,486 (306)
Probabilistic Strategy Logic [PDF]
We introduce Probabilistic Strategy Logic, an extension of Strategy Logic for stochastic systems. The logic has probabilistic terms that allow it to express many standard solution concepts, such as Nash equilibria in randomised strategies, as well as constraints on probabilities, such as independence. We study the model-checking problem for agents with
Aminof, B.+4 more
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Randomisation and Derandomisation in Descriptive Complexity Theory [PDF]
We study probabilistic complexity classes and questions of derandomisation from a logical point of view. For each logic L we introduce a new logic BPL, bounded error probabilistic L, which is defined from L in a similar way as the complexity class BPP ...
Kord Eickmeyer, Martin Grohe
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The paper explores properties of Łukasiewicz mu-calculus, a version of the quantitative/probabilistic modal mu-calculus containing both weak and strong conjunctions and disjunctions from Łukasiewicz (fuzzy) logic. We show that this logic encodes the well-
Matteo Mio, Alex Simpson
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A probabilistic separation logic [PDF]
Probabilistic independence is a useful concept for describing the result of random sampling—a basic operation in all probabilistic languages—and for reasoning about groups of random variables. Nevertheless, existing verification methods handle independence poorly, if at all.
Justin Hsu, Kevin Liao, Gilles Barthe
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Probabilistic Justification Logic [PDF]
Abstract We present a probabilistic justification logic, $\mathsf{PPJ}$, as a framework for uncertain reasoning about rational belief, degrees of belief and justifications. We establish soundness and strong completeness for $\mathsf{PPJ}$ with respect to the class of so-called measurable Kripke-like models and show that the ...
Ioannis Kokkinis+2 more
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Probabilistic Active Control of Structures Using a Probabilistic Fuzzy Logic Controller [PDF]
Because uncertainty is inherent in engineering structures, it is essential to improve the procedures of structural control. The present study focuses on applying a probabilistic fuzzy logic system (PFLS) in active tendons for the covariance response ...
Azadeh Jalali+3 more
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Probabilistic modal {\mu}-calculus with independent product [PDF]
The probabilistic modal {\mu}-calculus is a fixed-point logic designed for expressing properties of probabilistic labeled transition systems (PLTS's). Two equivalent semantics have been studied for this logic, both assigning to each state a value in the ...
Matteo Mio
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Probabilistic Interval Temporal Logic and Duration Calculus with Infinite Intervals: Complete Proof Systems [PDF]
The paper presents probabilistic extensions of interval temporal logic (ITL) and duration calculus (DC) with infinite intervals and complete Hilbert-style proof systems for them.
Dimitar P. Guelev
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In this article, we introduce a logic for reasoning about probability of normative statements. We present its syntax and semantics, describe the corresponding class of models, provide an axiomatization for this logic and prove that the axiomatization is sound and complete. We also prove that our logic is decidable.
de Wit, Vincent+2 more
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Probabilistic Logical Characterization
AbstractProbabilistic automata exhibit both probabilistic and non-deterministic choice. They are therefore a powerful semantic foundation for modeling concurrent systems with random phenomena arising in many applications ranging from artificial intelligence, security, systems biology to performance modeling.
Hermanns H.+4 more
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