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We develop a linear-algebraic framework for dimensional analysis in systems with constraints, particularly when variables are numerous or related by implicit relations so that direct elimination is impractical. By expressing both…

Mathematical Physics · Physics 2026-03-31 Umpei Miyamoto

Temporal logic provided an appealing approach to specifying properties of operating systems and other "reactive" software by allowing propositions to be qualified by "when" they must be true. This paper shows how to get the same effect,…

Logic in Computer Science · Computer Science 2026-01-16 Victor Yodaiken

Our aim is to investigate ontology-based data access over temporal data with validity time and ontologies capable of temporal conceptual modelling. To this end, we design a temporal description logic, TQL, that extends the standard ontology…

Logic in Computer Science · Computer Science 2013-05-01 Alessandro Artale , Roman Kontchakov , Frank Wolter , Michael Zakharyaschev

Temporal logic is a very powerful formalism deeply investigated and used in formal system design and verification. Its application usually reduces to solving specific decision problems such as model checking and satisfiability. In these…

Logic in Computer Science · Computer Science 2016-09-15 Gaëlle Fontaine , Fabio Mogavero , Aniello Murano , Giuseppe Perelli , Loredana Sorrentino

The paper is a contribution both to the theoretical foundations and to the actual construction of efficient automatizable proof procedures for non-classical logics. We focus here on the case of finite-valued logics, and exhibit: (i) a…

Logic in Computer Science · Computer Science 2014-08-19 Carlos Caleiro , João Marcos , Marco Volpe

Machine teaching is an algorithmic framework for teaching a target hypothesis via a sequence of examples or demonstrations. We investigate machine teaching for temporal logic formulas -- a novel and expressive hypothesis class amenable to…

Artificial Intelligence · Computer Science 2020-01-28 Zhe Xu , Yuxin Chen , Ufuk Topcu

The importance of intuitionistic temporal logics in Computer Science and Artificial Intelligence has become increasingly clear in the last few years. From the proof-theory point of view, intuitionistic temporal logics have made it possible…

Logic in Computer Science · Computer Science 2023-06-22 Joseph Boudou , Martín Diéguez , David Fernández-Duque , Philip Kremer

This report describes a minimalistic set of methods engineered to anchor clinical events onto a temporal space. Specifically, we describe methods to extract clinical events (e.g., Problems, Treatments and Tests), temporal expressions (i.e.,…

Computation and Language · Computer Science 2015-04-15 Azad Dehghan

We consider the termination/non-termination property of a class of loops. Such loops are commonly used abstractions of real program pieces. Second-order logic is a convenient language to express non-termination. Of course, such property is…

Logic in Computer Science · Computer Science 2014-12-11 Fred Mesnard , Etienne Payet

We design temporal description logics suitable for reasoning about temporal conceptual data models and investigate their computational complexity. Our formalisms are based on DL-Lite logics with three types of concept inclusions (ranging…

Logic in Computer Science · Computer Science 2014-05-05 Alessandro Artale , Roman Kontchakov , Vladislav Ryzhikov , Michael Zakharyaschev

Adjoint logic is a general approach to combining multiple logics with different structural properties, including linear, affine, strict, and (ordinary) intuitionistic logics, where each proposition has an intrinsic mode of truth. It has…

Logic in Computer Science · Computer Science 2024-02-05 Junyoung Jang , Sophia Roshal , Frank Pfenning , Brigitte Pientka

This paper describes a technique for inferring temporal-logic properties for sets of finite data streams. Such data streams arise in many domains, including server logs, program testing, and financial and marketing data; temporal-logic…

Logic in Computer Science · Computer Science 2020-06-09 Samuel Huang , Rance Cleaveland

We begin the study of categorical logic for continuous model theory. In particular, we 1. introduce the notions of metric logical categories and functors as categorical equivalents of a metric theory and interpretations, 2. prove a…

Logic · Mathematics 2016-07-12 Jean-Martin Albert , Bradd Hart

Linear temporal logic (LTL) is a specification language for finite sequences (called traces) widely used in program verification, motion planning in robotics, process mining, and many other areas. We consider the problem of learning LTL…

Artificial Intelligence · Computer Science 2026-01-22 Ritam Raha , Rajarshi Roy , Nathanaël Fijalkow , Daniel Neider

We define a fragment of metric first-order temporal logic formulas that guarantees the finiteness of their table representations. We extend our fragment's definition to cover the temporal dual operators trigger and release and show that our…

Logic in Computer Science · Computer Science 2022-06-20 Jonathan Julian Huerta y Munive

We prove strong completeness results for some modal logics with the universal modality, with respect to their topological semantics over 0-dimensional dense-in-themselves metric spaces. We also use failure of compactness to show that, for…

Logic · Mathematics 2020-08-12 Robert Goldblatt , Ian Hodkinson

We consider an extension of first-order logic with a recursion operator that corresponds to allowing formulas to refer to themselves. We investigate the obtained language under two different systems of semantics, thereby obtaining two…

Logic · Mathematics 2022-07-18 Reijo Jaakkola , Antti Kuusisto

Similarity search is an important problem in information retrieval. This similarity is based on a distance. Symbolic representation of time series has attracted many researchers recently, since it reduces the dimensionality of these high…

Information Retrieval · Computer Science 2010-06-18 Muhammad Marwan Muhammad Fuad , Pierre-François Marteau

Many systems include components interacting with each other that evolve with possibly very different speeds. To deal with this situation many formal models adopt the abstraction of "zero-time transitions", which do not consume time. These…

Logic in Computer Science · Computer Science 2012-06-06 Luca Ferrucci , Dino Mandrioli , Angelo Morzenti , Matteo Rossi

Monadic second order logic and linear temporal logic are two logical formalisms that can be used to describe classes of infinite words, i.e., first-order models based on the natural numbers with order, successor, and finitely many unary…

Logic · Mathematics 2016-05-02 Silvio Ghilardi , Samuel J. van Gool
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