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Reconfigurable interaction induces another dimension of nondeterminism in concurrent systems which makes it hard to reason about the different choices of the system from a global perspective. Namely, (1) choices that correspond to…

Logic in Computer Science · Computer Science 2021-08-02 Yehia Abd Alrahman , Mauricio Martel , Nir Piterman

This paper investigates formal logics for reasoning about determinacy and independence. Propositional Dependence Logic D and Propositional Independence Logic I are recently developed logical systems, based on team semantics, that provide a…

Logic · Mathematics 2017-12-05 Valentin Goranko , Antti Kuusisto

Modelling is an essential procedure in analyzing and controlling a given logical dynamic system (LDS). It has been proved that deterministic LDS can be modeled as a linear-like system using algebraic state space representation. However, due…

Optimization and Control · Mathematics 2022-03-04 Changxi Li , Jun-e Feng , Daizhan Cheng , Xiao Zhang

This paper investigates a representation language with flexibility inspired by probabilistic logic and compactness inspired by relational Bayesian networks. The goal is to handle propositional and first-order constructs together with…

Artificial Intelligence · Computer Science 2012-07-19 Fabio Gagliardi Cozman , Cassio Polpo de Campos , Jaime Ide , Jose Carlos Ferreira da Rocha

The birth of Foundation Models brought unprecedented results in a wide range of tasks, from language to vision, to robotic control. These models are able to process huge quantities of data, and can extract and develop rich representations,…

Modal logics allow reasoning about various modes of truth: for example, what it means for something to be possibly true, or to know that something is true as opposed to merely believing it. This report describes embeddings of propositional…

Logic in Computer Science · Computer Science 2022-05-16 John Rushby

In this paper we prove that three of the main propositional logics of dependence (including propositional dependence logic and inquisitive logic), none of which is structural, are structurally complete with respect to a class of…

Logic · Mathematics 2018-12-19 Rosalie Iemhoff , Fan Yang

This dissertation introduces executable refinement types, which refine structural types by semi-decidable predicates, and establishes their metatheory and accompanying implementation techniques. These results are useful for undecidable type…

Programming Languages · Computer Science 2014-03-14 Kenneth Knowles

Assuring the correct behavior of cyber-physical systems requires significant modeling effort, particularly during early stages of the engineering and design process when a system is not yet available for testing or verification of proper…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Georgios Bakirtzis , Christina Vasilakopoulou , Cody H. Fleming

We tackle the problem of constructive preference elicitation, that is the problem of learning user preferences over very large decision problems, involving a combinatorial space of possible outcomes. In this setting, the suggested…

Machine Learning · Statistics 2018-05-08 Paolo Dragone , Stefano Teso , Mohit Kumar , Andrea Passerini

We present a way to apply quantum logic to the study of quantum programs. This is made possible by using an extension of the usual propositional language in order to make transformations performed on the system appear explicitly. This way,…

Quantum Physics · Physics 2007-05-23 Olivier Brunet , Philippe Jorrand

Collective Adaptive Systems often consist of many heterogeneous components typically organised in groups. These entities interact with each other by adapting their behaviour to pursue individual or collective goals. In these systems, the…

Logic in Computer Science · Computer Science 2024-02-14 Michele Loreti , Michela Quadrini

Recognising that real-world optimisation problems have multiple interdependent components can be quite easy. However, providing a generic and formal model for dependencies between components can be a tricky task. In fact, a PMIC can be…

Artificial Intelligence · Computer Science 2019-03-19 Mohamed El Yafrani

This work addresses integrating probabilistic propositional logic constraints into the distribution encoded by a probabilistic circuit (PC). PCs are a class of tractable models that allow efficient computations (such as conditional and…

Machine Learning · Computer Science 2024-03-21 Soroush Ghandi , Benjamin Quost , Cassio de Campos

We study conflict situations that dynamically arise in traffic scenarios, where different agents try to achieve their set of goals and have to decide on what to do based on their local perception. We distinguish several types of conflicts…

Multiagent Systems · Computer Science 2019-11-19 Werner Damm , Martin Fränzle , Willem Hagemann , Paul Kröger , Astrid Rakow

This paper is motivated by the theory of sequential dynamical systems, developed as a basis for a mathematical theory of computer simulation. It contains a classification of finite dynamical systems on binary strings, which are obtained by…

Dynamical Systems · Mathematics 2007-05-23 Luis Garcia , Abdul Salam Jarrah , Reinhard Laubenbacher

Propositional term modal logic is interpreted over Kripke structures with unboundedly many accessibility relations and hence the syntax admits variables indexing modalities and quantification over them. This logic is undecidable, and we…

Logic in Computer Science · Computer Science 2019-01-01 Anantha Padmanabha , R Ramanujam

Counting propositional logic was recently introduced in relation to randomized computation and shown able to logically characterize the full counting hierarchy. In this paper we aim to clarify the intuitive meaning and expressive power of…

Logic in Computer Science · Computer Science 2022-11-17 Melissa Antonelli

We propose a hybrid-dynamic first-order logic as a formal foundation for specifying and reasoning about reconfigurable systems. As the name suggests, the formalism we develop extends (many-sorted) first-order logic with features that are…

Logic in Computer Science · Computer Science 2019-05-13 Daniel Găină , Ionuţ Ţuţu

Propositional dynamic logic (PDL) is an important modal logic used to specify and reason about the behavior of software. A challenging problem in the context of PDL is solving fixed-point equations, i.e., formulae of the form $x \equiv…

Logic in Computer Science · Computer Science 2024-12-06 Tim S. Lyon