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This volume consists of papers selected from the presentations at the workshop and includes mainly recent developments in the fields of formal languages, automata theory and algebraic systems related to the theoretical computer science and informatics. It covers the areas such as automata and grammars, languages and codes, combinatorics on words, cryptosystems, logics and trees, Grobner bases, minimal clones, zero-divisor graphs, fine convergence of functions, and others.
This volume consists of papers selected from the presentations at the workshop and includes mainly recent developments in the fields of formal languages, automata theory and algebraic systems related to the theoretical computer science and informatics. It covers the areas such as automata and grammars, languages and codes, combinatorics on words, cryptosystems, logics and trees, Grobner bases, minimal clones, zero-divisor graphs, fine convergence of functions, and others.
This textbook gives a systematized and compact summary, providing the most essential types of modern models for languages and computation together with their properties and applications. Most of these models properly reflect and formalize current computational methods, based on parallelism, distribution and cooperation covered in this book. As a result, it allows the user to develop, study, and improve these methods very effectively. This textbook also represents the first systematic treatment of modern language models for computation. It covers all essential theoretical topics concerning them. From a practical viewpoint, it describes various concepts, methods, algorithms, techniques, and software units based upon these models. Based upon them, it describes several applications in biology, linguistics, and computer science. Advanced-level students studying computer science, mathematics, linguistics and biology will find this textbook a valuable resource. Theoreticians, practitioners and researchers working in today’s theory of computation and its applications will also find this book essential as a reference.
Jumping Computation: Updating Automata and Grammars for Discontinuous Information Processing is primarily a theoretically oriented treatment of jumping automata and grammars, covering all essential theoretical topics concerning them, including their power, properties, and transformations. From a practical viewpoint, it describes various concepts, methods, algorithms, techniques, case studies and applications based upon these automata and grammars. In today’s computerized world, the scientific development and study of computation, referred to as the theory of computation, plays a crucial role. One important branch, language theory, investigates how to define and study languages and their models, which formalize algorithms according to which their computation is executed. These language-defining models are classified into two basic categories: automata, which define languages by recognizing their words, and grammars, which generate them. Introduced many decades ago, these rules reflect classical sequential computation. However, today’s computational methods frequently process information in a fundamentally different way, frequently “jumping” over large portions of the information as a whole. This book adapts classical models to formalize and study this kind of computation properly. Simply put, during their language-defining process, these adapted versions, called jumping automata and grammars, jump across the words they work on. The book selects important models and summarizes key results about them in a compact and uniform way. It relates each model to a particular form of modern computation, such as sequential, semi-parallel and totally parallel computation, and explains how the model in question properly reflects and formalizes the corresponding form of computation, thus allowing us to obtain a systematized body of mathematically precise knowledge concerning the jumping computation. The book pays a special attention to power, closure properties, and transformations, and also describes many algorithms that modify jumping grammars and automata so they satisfy some prescribed properties without changing the defined language. The book will be of great interest to anyone researching the theory of computation across the fields of computer science, mathematics, engineering, logic and linguistics.
This book constitutes the refereed proceedings of the 7th International Conference on Theory and Applications of Models of Computation, TAMC 2010, held in Prague, Czech Republic, in June 2010. The 35 revised full papers presented together with 5 contributions of special sessions as well as 2 plenary talks were carefully reviewed and selected from 76 submissions. The papers address the three main themes of the conference which were computability, complexity, and algorithms and present current research in these fields with aspects to theoretical computer science, algorithmic mathematics, and applications to the physical sciences.
This book constitutes the refereed proceedings of the Second International Conference on Language and Automata Theory and Applications, LATA 2008, held in Tarragona, Spain, in March 2008. The 40 revised full papers presented were carefully reviewed and selected from 134 submissions. The papers deal with the various issues related to automata theory and formal languages
In the last decade, the familiar problem of the regress of reasons has returned to prominent consideration in epistemology. And with the return of the problem, evaluation of the options available for its solution is begun anew. Reason’s regress problem, roughly put, is that if one has good reasons to believe something, one must have good reason to hold those reasons are good. And for those reasons, one must have further reasons to hold they are good, and so a regress of reasons looms. In this new study, Aikin presents a full case for infinitism as a response to the problem of the regress of reasons. Infinitism is the view that one must have a non-terminating chain of reasons in order to be justified. The most defensible form of infinitism, he argues, is that of a mixed theory – that is, epistemic infinitism must be consistent with and integrate other solutions to the regress problem.
The English philosopher Michael Oakeshott (1901-1990) is known as a conservative who rejected philosophically ambitious rationalism and the grand political ideologies of the twentieth century on the grounds that no human ideas have ultimately reliable foundations. Instead, he embraced tradition and habit as the guides to moral and political life. In this book, Aryeh Botwinick presents an original account of Oakeshott's skepticism about foundations, an account that newly reveals the unity of his thought. Botwinick argues that, despite Oakeshott's pragmatic conservatism, his rejection of all-embracing intellectual projects made him a friend to liberal individualism and an ally of what would become postmodern antifoundationalism. Oakeshott's skepticism even extended paradoxically to skepticism about skepticism itself and is better described as a "generalized agnosticism." Properly conceived and translated, this agnosticism ultimately evolves into mysticism, which becomes a bridge linking philosophy and religion. Botwinick explains and develops this strategy of interpretation and then shows how it illuminates and unifies the diverse strands of Oakeshott's thought in the philosophy of religion, metaphysics, epistemology, political theory, philosophy of personal identity, philosophy of law, and philosophy of history.
How do you know your own thoughts and feelings? Do we have ‘privileged access’ to our own minds? Does introspection provide a grasp of a thinking self or ‘I’? The problem of self-knowledge is one of the most fascinating in all of philosophy and has crucial significance for the philosophy of mind and epistemology. In this outstanding introduction Brie Gertler assesses the leading theoretical approaches to self-knowledge, explaining the work of many of the key figures in the field: from Descartes and Kant, through to Bertrand Russell and Gareth Evans, as well as recent work by Tyler Burge, David Chalmers, William Lycan and Sydney Shoemaker. Beginning with an outline of the distinction between self-knowledge and self-awareness and providing essential historical background to the problem, Gertler addresses specific theories of self-knowledge such as the acquaintance theory, the inner sense theory, and the rationalist theory, as well as leading accounts of self-awareness. The book concludes with a critical explication of the dispute between empiricist and rationalist approaches. Including helpful chapter summaries, annotated further reading and a glossary, Self Knowledge is essential reading for those interested in philosophy of mind, epistemology, and personal identity.