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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Direct design of ground-state probabilistic logic using many-body interactions for probabilistic computing [PDF]
In this work, an innovative design model aimed at enhancing the efficacy of ground-state probabilistic logic with a binary energy landscape (GSPL-BEL) is presented.
Yihan He +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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Human-Guided Learning for Probabilistic Logic Models [PDF]
Advice-giving has been long explored in the artificial intelligence community to build robust learning algorithms when the data is noisy, incorrect or even insufficient. While logic based systems were effectively used in building expert systems, the role
Phillip Odom, Sriraam Natarajan
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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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Probability Logic for Harsanyi Type Spaces [PDF]
Probability logic has contributed to significant developments in belief types for game-theoretical economics. We present a new probability logic for Harsanyi Type spaces, show its completeness, and prove both a de-nesting property and a unique extension ...
Chunlai Zhou
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New Directions in Categorical Logic, for Classical, Probabilistic and Quantum Logic [PDF]
Intuitionistic logic, in which the double negation law not-not-P = P fails, is dominant in categorical logic, notably in topos theory. This paper follows a different direction in which double negation does hold.
Bart Jacobs
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Speakable in quantum mechanics: babbling on [PDF]
This paper consists of a short version of the derivation of the intuitionistic quantum logic L_QM (which was originally introduced by Caspers, Heunen, Landsman and Spitters).
Ronnie Hermens
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Probabilistic logic analysis of the highly heterogeneous spatiotemporal HFRS incidence distribution in Heilongjiang province (China) during 2005-2013. [PDF]
He J +7 more
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Coalgebraic Semantics for Probabilistic Logic Programming [PDF]
Probabilistic logic programming is increasingly important in artificial intelligence and related fields as a formalism to reason about uncertainty. It generalises logic programming with the possibility of annotating clauses with probabilities. This paper
Tao Gu, Fabio Zanasi
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