Search results for "Logic in computer science"

showing 10 items of 129 documents

Protoalgebraicity and the Deduction Theorem

2001

This chapter is intended as an introduction to the Deduction Theorem and to applications of this theorem in metalogic.

Pure mathematicsDeduction theoremFundamental theoremComputer Science::Logic in Computer ScienceCompactness theoremHeyting algebraSequent calculusFixed-point theoremGödel's completeness theoremSqueeze theoremMathematics
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Quantum Finite State Transducers

2000

We introduce quantum finite state transducers (qfst), and study the class of relations which they compute. It turns out that they share many features with probabilistic finite state transducers, especially regarding undecidability of emptiness (at least for low probability of success). However, like their `little brothers', the quantum finite automata, the power of qfst is incomparable to that of their probabilistic counterpart. This we show by discussing a number of characteristic examples.

Quantum PhysicsComputer Science::Logic in Computer ScienceFOS: Physical sciencesQuantum Physics (quant-ph)Computer Science::Formal Languages and Automata Theory
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Left-star order structure of Rickart *-rings

2015

Janowitz proved in 1983 that the initial segments of a Rickart *-ring with the star order are orthomodular posets. In this paper, the same result is proved for the left-star order , which was introduced by Marovtet al., by finding an orthogonality which corresponds to in a certain way and then applying a result proved by Cīrulis which states that the initial segments of any quasi-orthomodular set are orthomodular.

Ring (mathematics)Algebra and Number TheoryOrder (ring theory)010103 numerical & computational mathematics0102 computer and information sciencesStar (graph theory)01 natural sciencesCombinatoricsSet (abstract data type)Mathematics::LogicOrthogonality010201 computation theory & mathematicsComputer Science::Logic in Computer ScienceMathematics::Category TheoryOrder structure0101 mathematicsMathematicsLinear and Multilinear Algebra
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Investigating Potential Alignments between Modelica Standard Library and SAREF Ontologies

2021

International audience; Simulation tools based on the Modelica language provide comprehensive modelling and simulation approaches for building energy systems. However, the simulation and optimisation of such systems are data-driven processes, lacking a common understanding of information structure within the process. This paper investigates the possible semantic alignments of the Smart Appliances REFerence (SAREF) ontology and its extension for building domain, SAREF4BLDG, with the Modelica Standard Library (MSL). Using the MSL, a residential heating system has been modelled in OpenModelica, an open-source modelling and simulation environment. Then, SAREF and its extension SAREF4BLDG semant…

SAREF[INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO][INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL]Modelica Standard LibraryOntologies[INFO.INFO-LO]Computer Science [cs]/Logic in Computer Science [cs.LO]Building Energy Systems[INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation[INFO.INFO-MO]Computer Science [cs]/Modeling and SimulationSAREF4BLDG[INFO.INFO-CL]Computer Science [cs]/Computation and Language [cs.CL]
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The expansion $\star$ mod $\bar{o}(\hbar^4)$ and computer-assisted proof schemes in the Kontsevich deformation quantization

2019

The Kontsevich deformation quantization combines Poisson dynamics, noncommutative geometry, number theory, and calculus of oriented graphs. To manage the algebra and differential calculus of series of weighted graphs, we present software modules: these allow generating the Kontsevich graphs, expanding the noncommutative & x22c6;-product by using a priori undetermined coefficients, and deriving linear relations between the weights of graphs. Throughout this text we illustrate the assembly of the Kontsevich & x22c6;-product up to order 4 in the deformation parameter Already at this stage, the & x22c6;-product involves hundreds of graphs; expressing all their coefficients via 149 w…

Series (mathematics)General MathematicsQuantization (signal processing)Quantum algebraDifferential calculusKontsevich graph complexNoncommutative geometryAssociative algebraAlgebradeformation quantizationtemplate libraryComputer-assisted proofNumber theoryMathematics::K-Theory and HomologyComputer Science::Logic in Computer ScienceMathematics::Quantum AlgebraAssociative algebracomputer-assisted proof schemesoftware modulePOISSON STRUCTURESnoncommutative geometryMathematics
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On modal mu-calculus over finite graphs with bounded strongly connected components.

2010

For every positive integer k we consider the class SCCk of all finite graphs whose strongly connected components have size at most k. We show that for every k, the Modal mu-Calculus fixpoint hierarchy on SCCk collapses to the level Delta2, but not to Comp(Sigma1,Pi1) (compositions of formulas of level Sigma1 and Pi1). This contrasts with the class of all graphs, where Delta2=Comp(Sigma1,Pi1).

Strongly connected componentPure mathematicsComputer Science - Logic in Computer ScienceBounded functionlcsh:MathematicsModal μ-calculusComputer Science - Formal Languages and Automata Theorylcsh:Electronic computers. Computer sciencelcsh:QA1-939lcsh:QA75.5-76.95Mathematics
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Materials Communicating with the BIM: Aims and First Results of the McBIM Project

2019

This paper introduces McBIM, a French national research project working on on-line monitoring on concrete structure. This project gathers 3 french laboratories (the CRAN, LAAS and LIB) associated with one company (360SmartConnect/FINAO SAS) that are working together from 2018 to 2021. It proposes 1) to design a “communicating concrete”, made of concrete equipped with embedded low-energy wireless microsensor network, able to manage and exchange data using BIM standards, and 2) to demonstrate the usefulness of this approach across several building lifecycle phases, namely the manufacturing, construction and exploitation phases for structural health monitoring. The paper will first start by in…

Structure (mathematical logic)[INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO]business.industryComputer science[SPI.GCIV.CD] Engineering Sciences [physics]/Civil Engineering/Construction durable020101 civil engineering02 engineering and technology[SPI.MAT] Engineering Sciences [physics]/Materials01 natural sciences0201 civil engineering[INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL]0103 physical sciencesSystems engineeringWirelessStructural health monitoring[SPI.GCIV.MAT] Engineering Sciences [physics]/Civil Engineering/Matériaux composites et constructionbusiness010301 acousticsStructural Health Monitoring 2019
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Tally languages accepted by Monte Carlo pushdown automata

1997

Rather often difficult (and sometimes even undecidable) problems become easily decidable for tally languages, i.e. for languages in a single-letter alphabet. For instance, the class of languages recognizable by 1-way nondeterministic pushdown automata equals the class of the context-free languages, but the class of the tally languages recognizable by 1-way nondeterministic pushdown automata, contains only regular languages [LP81]. We prove that languages over one-letter alphabet accepted by randomized one-way 1-tape Monte Carlo pushdown automata are regular. However Monte Carlo pushdown automata can be much more concise than deterministic 1-way finite state automata.

TheoryofComputation_COMPUTATIONBYABSTRACTDEVICESNested wordTheoretical computer scienceComputational complexity theoryComputer scienceDeterministic pushdown automatonTuring machinesymbols.namesakeRegular languageComputer Science::Logic in Computer ScienceQuantum finite automataNondeterministic finite automatonDiscrete mathematicsFinite-state machineDeterministic context-free languageComputabilityDeterministic context-free grammarContext-free languagePushdown automatonAbstract family of languagesComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Cone (formal languages)Embedded pushdown automatonUndecidable problemNondeterministic algorithmTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESDeterministic finite automatonsymbolsComputer Science::Programming LanguagesAlphabetComputer Science::Formal Languages and Automata Theory
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La ontología de la proposición en el Russell de "The Principles of Mathematics" y los artículos de Meinong

2005

Bertrand Russell, in The Principles of Mathematics and ¿Meinong¿s Theory of Complexes and Assumptions¿, maintains a unitary conception of the ontology of propositions. He makes a difference between judgment and proposition. Propositions are independent entities and they have different presentations. False propositions subsist; this is related to the relation in the proposition called ¿affirmation¿ and the double condition of predicates (meaning and term). But that conception has bad consequences for the unity and identity of proposition.

TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESCiencias básicas y experimentalesUNESCO::FILOSOFÍA:FILOSOFÍA [UNESCO]Computer Science::Logic in Computer ScienceHumanidadesHª y Fª de la CienciaFilosofía. Etica
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Query automata

1999

A main task in document transformation and information retrieval is locating subtrees satisfying some pattern. Therefore, unary queries, i.e., queries that map a tree to a set of its nodes, play an important role in the context of structured document databases. We want to understand how the natural and well-studied computation model of tree automata can be used to compute such queries. We define a query automaton (QA) as a deterministic two-way finite automaton over trees that has the ability to select nodes depending on the state and the label at those nodes. We study QAs over ranked as well as over unranked trees. Unranked trees differ from ranked ones in that there is no bound on the num…

TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESTheoretical computer scienceComputer scienceComputer Science::Logic in Computer ScienceComputer Science::DatabasesComputer Science::Formal Languages and Automata TheoryAutomatonProceedings of the eighteenth ACM SIGMOD-SIGACT-SIGART symposium on Principles of database systems
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