a proof theory for description logics springerbriefs in computer science

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A Proof Theory For Description Logics

Author : Alexandre Rademaker
ISBN : 9781447140023
Genre : Mathematics
File Size : 72. 37 MB
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Description Logics (DLs) is a family of formalisms used to represent knowledge of a domain. They are equipped with a formal logic-based semantics. Knowledge representation systems based on description logics provide various inference capabilities that deduce implicit knowledge from the explicitly represented knowledge. A Proof Theory for Description Logics introduces Sequent Calculi and Natural Deduction for some DLs (ALC, ALCQ). Cut-elimination and Normalization are proved for the calculi. The author argues that such systems can improve the extraction of computational content from DLs proofs for explanation purposes.

Model And Proof Theory Of Constructive Alc

Author : Stephan Scheele
ISBN : 9783863093204
Genre :
File Size : 78. 1 MB
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Belief Revision In Non Classical Logics

Author : Márcio Moretto Ribeiro
ISBN : 9781447141860
Genre : Computers
File Size : 40. 12 MB
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Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly. Belief revision presents a good theoretical framework for dealing with this problem; however, classical belief revision is not well suited for logics such as Description Logics. Belief Revision in Non-Classical Logics presents a framework which can be applied to a wide class of logics that include – besides most Description Logics such as the ones behind OWL – Horn Logic and Intuitionistic logic, amongst others. The author also presents algorithms for the most important constructions in belief bases. Researchers and practitioners in theoretical computing will find this an invaluable resource.

Mathematical Logic For Computer Science

Author : Mordechai Ben-Ari
ISBN : 9781447141297
Genre : Mathematics
File Size : 61. 11 MB
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Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and easy to understand. The uniform use of tableaux-based techniques facilitates learning advanced logical systems based on what the student has learned from elementary systems. The logical systems presented are: propositional logic, first-order logic, resolution and its application to logic programming, Hoare logic for the verification of sequential programs, and linear temporal logic for the verification of concurrent programs. The third edition has been entirely rewritten and includes new chapters on central topics of modern computer science: SAT solvers and model checking.

Explaining Algorithms Using Metaphors

Author : Michal Forišek
ISBN : 9781447150190
Genre : Education
File Size : 53. 17 MB
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There is a significant difference between designing a new algorithm, proving its correctness, and teaching it to an audience. When teaching algorithms, the teacher's main goal should be to convey the underlying ideas and to help the students form correct mental models related to the algorithm. This process can often be facilitated by using suitable metaphors. This work provides a set of novel metaphors identified and developed as suitable tools for teaching many of the "classic textbook" algorithms taught in undergraduate courses worldwide. Each chapter provides exercises and didactic notes for teachers based on the authors’ experiences when using the metaphor in a classroom setting.

Concise Computer Mathematics

Author : Ovidiu Bagdasar
ISBN : 9783319017518
Genre : Computers
File Size : 26. 42 MB
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Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree. The text reflects the need to quickly introduce students from a variety of educational backgrounds to a number of essential mathematical concepts. The material is divided into four units: discrete mathematics (sets, relations, functions), logic (Boolean types, truth tables, proofs), linear algebra (vectors, matrices and graphics), and special topics (graph theory, number theory, basic elements of calculus). The chapters contain a brief theoretical presentation of the topic, followed by a selection of problems (which are direct applications of the theory) and additional supplementary problems (which may require a bit more work). Each chapter ends with answers or worked solutions for all of the problems.

Concise Computer Mathematics

Author : Ovidiu Bagdasar
ISBN : 9783319017518
Genre : Computers
File Size : 29. 84 MB
Format : PDF
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Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree. The text reflects the need to quickly introduce students from a variety of educational backgrounds to a number of essential mathematical concepts. The material is divided into four units: discrete mathematics (sets, relations, functions), logic (Boolean types, truth tables, proofs), linear algebra (vectors, matrices and graphics), and special topics (graph theory, number theory, basic elements of calculus). The chapters contain a brief theoretical presentation of the topic, followed by a selection of problems (which are direct applications of the theory) and additional supplementary problems (which may require a bit more work). Each chapter ends with answers or worked solutions for all of the problems.

Software Sourcing In The Age Of Open

Author : Pär J. Ågerfalk
ISBN : 9783319172668
Genre : Computers
File Size : 43. 8 MB
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This SpringerBrief discusses multiple forms of open-source-inspired outsourcing: opensourcing, innersourcing and crowdsourcing. It uses a framework-based comparison to explain the strengths and weaknesses of each approach. By pointing out characteristics along with benefits and pitfalls of each approach, the authors provide nuanced and research-based advice to managers and developers facing software sourcing decisions. The differences and commonalities of these three emerging approaches are carefully analyzed. Chapters explore the primary challenges of reliability, efficiency and robustness in open-source methods. Examples from industrial cases are included, along with extensive references to recent research. The brief concludes with a comparative analysis of approaches and outlines key implications to be aware of when outsourcing. Software Sourcing in the Age of Open: Leveraging the Unknown Workforce is designed for professionals and researchers interested in outsourcing challenges. The content is also suitable for postgraduate students interested in contemporary software sourcing approaches.

A Summary Of Scientific Method

Author : Peter Kosso
ISBN : 9400716141
Genre : Science
File Size : 37. 8 MB
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A Summary of Scientific Method is a brief description of what makes science scientific. It is written in a direct, clear style that is accessible and informative for scientists and science students. It is intended to help science teachers explain how science works, highlighting strengths without ignoring limitations, and to help scientists articulate the process and standards of their work. The book demonstrates that there are several important requirements for being scientific, and the most fundamental of these is maintaining an extensive, interconnected, coherent network of ideas. Some components in the network are empirical, others are theoretical, and they support each other. Clarifying the structure of this web of knowledge explains the role of the commonly cited aspects of scientific method, things like hypotheses, theories, testing, evidence, and the like. A Summary of Scientific Method provides a clear, intuitive, and accurate model of scientific method.

A General Framework For Reasoning On Inconsistency

Author : Maria Vanina Martinez
ISBN : 9781461467502
Genre : Computers
File Size : 74. 20 MB
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This SpringerBrief proposes a general framework for reasoning about inconsistency in a wide variety of logics, including inconsistency resolution methods that have not yet been studied. The proposed framework allows users to specify preferences on how to resolve inconsistency when there are multiple ways to do so. This empowers users to resolve inconsistency in data leveraging both their detailed knowledge of the data as well as their application needs. The brief shows that the framework is well-suited to handle inconsistency in several logics, and provides algorithms to compute preferred options. Finally, the brief shows that the framework not only captures several existing works, but also supports reasoning about inconsistency in several logics for which no such methods exist today.

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