Categories And Types In Logic Language And Physics

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Categories and Types in Logic, Language, and Physics

Author : Claudia Casadio,Bob Coecke,Michael Moortgat,Philip Scott
Publisher : Springer
Page : 421 pages
File Size : 53,6 Mb
Release : 2014-04-03
Category : Mathematics
ISBN : 9783642547898

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Categories and Types in Logic, Language, and Physics by Claudia Casadio,Bob Coecke,Michael Moortgat,Philip Scott Pdf

For more than 60 years, Jim Lambek has been a profoundly inspirational mathematician, with groundbreaking contributions to algebra, category theory, linguistics, theoretical physics, logic and proof theory. This Festschrift was put together on the occasion of his 90th birthday. The papers in it give a good picture of the multiple research areas where the impact of Jim Lambek's work can be felt. The volume includes contributions by prominent researchers and by their students, showing how Jim Lambek's ideas keep inspiring upcoming generations of scholars.

Categories for the Working Philosopher

Author : Elaine Landry
Publisher : Oxford University Press
Page : 432 pages
File Size : 44,7 Mb
Release : 2017-11-17
Category : Philosophy
ISBN : 9780191065828

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Categories for the Working Philosopher by Elaine Landry Pdf

Often people have wondered why there is no introductory text on category theory aimed at philosophers working in related areas. The answer is simple: what makes categories interesting and significant is their specific use for specific purposes. These uses and purposes, however, vary over many areas, both "pure", e.g., mathematical, foundational and logical, and "applied", e.g., applied to physics, biology and the nature and structure of mathematical models. Borrowing from the title of Saunders Mac Lane's seminal work "Categories for the Working Mathematician", this book aims to bring the concepts of category theory to philosophers working in areas ranging from mathematics to proof theory to computer science to ontology, from to physics to biology to cognition, from mathematical modeling to the structure of scientific theories to the structure of the world. Moreover, it aims to do this in a way that is accessible to non-specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, and in a way that builds on the concepts that are already familiar to philosophers working in these areas.

Samson Abramsky on Logic and Structure in Computer Science and Beyond

Author : Alessandra Palmigiano,Mehrnoosh Sadrzadeh
Publisher : Springer Nature
Page : 1149 pages
File Size : 51,9 Mb
Release : 2023-09-02
Category : Philosophy
ISBN : 9783031241178

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Samson Abramsky on Logic and Structure in Computer Science and Beyond by Alessandra Palmigiano,Mehrnoosh Sadrzadeh Pdf

Samson Abramsky’s wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field. This book is a rich collection of papers, inspired by and extending Abramsky’s work. It contains both survey material and new results, organised around six major themes: domains and duality, game semantics, contextuality and quantum computation, comonads and descriptive complexity, categorical and logical semantics, and probabilistic computation. These relate to different stages and aspects of Abramsky’s work, reflecting its exceptionally broad scope and his ability to illuminate and unify diverse topics. Chapters in the volume include a review of his entire body of work, spanning from philosophical aspects to logic, programming language theory, quantum theory, economics and psychology, and relating it to a theory of unification of sciences using dual adjunctions. The section on game semantics shows how Abramsky’s work has led to a powerful new paradigm for the semantics of computation. The work on contextuality and categorical quantum mechanics has been highly influential, and provides the foundation for increasingly widely used methods in quantum computing. The work on comonads and descriptive complexity is building bridges between currently disjoint research areas in computer science, relating Structure to Power. The volume also includes a scientific autobiography, and an overview of the contributions. The outstanding set of contributors to this volume, including both senior and early career academics, serve as testament to Samson Abramsky’s enduring influence. It will provide an invaluable and unique resource for both students and established researchers.

Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics

Author : Claudia Casadio,Philip J. Scott
Publisher : Springer Nature
Page : 432 pages
File Size : 49,7 Mb
Release : 2021-04-21
Category : Philosophy
ISBN : 9783030665456

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Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics by Claudia Casadio,Philip J. Scott Pdf

This book is dedicated to the life and work of the mathematician Joachim Lambek (1922–2014). The editors gather together noted experts to discuss the state of the art of various of Lambek’s works in logic, category theory, and linguistics and to celebrate his contributions to those areas over the course of his multifaceted career. After early work in combinatorics and elementary number theory, Lambek became a distinguished algebraist (notably in ring theory). In the 1960s, he began to work in category theory, categorical algebra, logic, proof theory, and foundations of computability. In a parallel development, beginning in the late 1950s and for the rest of his career, Lambek also worked extensively in mathematical linguistics and computational approaches to natural languages. He and his collaborators perfected production and type grammars for numerous natural languages. Lambek grammars form an early noncommutative precursor to Girard’s linear logic. In a surprising development (2000), he introduced a novel and deeper algebraic framework (which he called pregroup grammars) for analyzing natural language, along with algebraic, higher category, and proof-theoretic semantics. This book is of interest to mathematicians, logicians, linguists, and computer scientists.

Modern Perspectives in Type-Theoretical Semantics

Author : Stergios Chatzikyriakidis,Zhaohui Luo
Publisher : Springer
Page : 296 pages
File Size : 54,8 Mb
Release : 2017-02-07
Category : Language Arts & Disciplines
ISBN : 9783319504223

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Modern Perspectives in Type-Theoretical Semantics by Stergios Chatzikyriakidis,Zhaohui Luo Pdf

This book is a collective volume that reports the state of the art in the applications of type theory to linguistic semantics. The volume fills a 20 year gap from the last published book on the issue and aspires to bring researchers closer to cutting edge alternatives in formal semantics research. It consists of unpublished work by some key researchers on various issues related to the type theoretical study of formal semantics and further exemplifies the advantages of using modern type theoretical approaches to linguistic semantics. Themes that are covered include modern developments of type theories in formal semantics, foundational issues in linguistic semantics like anaphora, modality and plurals, innovational interdisciplinary research like the introduction of probability theory to type theories as well as computational implementations of type theoretical approaches. This volume will be of great interest to formal semanticists that are looking for alternative ways to study linguistic semantics, but will also be of interest to theoretical computer scientists and mathematicians that are interested in the applications of type theory.

Natural Language Processing in Artificial Intelligence—NLPinAI 2020

Author : Roussanka Loukanova
Publisher : Springer Nature
Page : 250 pages
File Size : 55,8 Mb
Release : 2021-03-25
Category : Technology & Engineering
ISBN : 9783030637873

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Natural Language Processing in Artificial Intelligence—NLPinAI 2020 by Roussanka Loukanova Pdf

This book covers theoretical work, applications, approaches, and techniques for computational models of information and its presentation by language (artificial, human, or natural in other ways). Computational and technological developments that incorporate natural language are proliferating. Adequate coverage encounters difficult problems related to ambiguities and dependency on context and agents (humans or computational systems). The goal is to promote computational systems of intelligent natural language processing and related models of computation, language, thought, mental states, reasoning, and other cognitive processes.

Picturing Quantum Processes

Author : Bob Coecke,Aleks Kissinger
Publisher : Cambridge University Press
Page : 847 pages
File Size : 52,9 Mb
Release : 2017-03-16
Category : Computers
ISBN : 9781107104228

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Picturing Quantum Processes by Bob Coecke,Aleks Kissinger Pdf

Quantum phenomena are explained through the language of diagrams, setting out an innovative visual method of presenting complex scientific theories. Focusing on physical intuition over mathematical formalism, and packed with exercises, this unique book is accessible to students and researchers across scientific disciplines, from undergraduate to Ph.D. level.

Introduction to Coalgebra

Author : Bart Jacobs
Publisher : Cambridge University Press
Page : 495 pages
File Size : 51,6 Mb
Release : 2017
Category : Mathematics
ISBN : 9781107177895

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Introduction to Coalgebra by Bart Jacobs Pdf

An accessible introduction to coalgebra, with clear mathematical explanations and numerous examples and exercises.

Foundations of Software Science and Computation Structures

Author : Patricia Bouyer,Lutz Schröder
Publisher : Springer Nature
Page : 471 pages
File Size : 49,6 Mb
Release : 2022-03-28
Category : Computers
ISBN : 9783030992538

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Foundations of Software Science and Computation Structures by Patricia Bouyer,Lutz Schröder Pdf

This open access book constitutes the proceedings of the 25th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2022, which was held during April 4-6, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022. The 23 regular papers presented in this volume were carefully reviewed and selected from 77 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems.

The Economic Philosophy of the Internet of Things

Author : James Juniper
Publisher : Routledge
Page : 246 pages
File Size : 41,7 Mb
Release : 2018-06-27
Category : Business & Economics
ISBN : 9781351069236

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The Economic Philosophy of the Internet of Things by James Juniper Pdf

To properly understand the nature of the digital economy we need to investigate the phenomenon of a "ubiquitous computing system" (UCS). As defined by Robin Milner, this notion implies the following characteristics: (i) it will continually make decisions hitherto made by us; (ii) it will be vast, maybe 100 times today’s systems; (iii) it must continually adapt, on-line, to new requirements; and, (iv) individual UCSs will interact with one another. This book argues that neoclassical approaches to modelling economic behaviour based on optimal control by "representative-agents" are ill-suited to a world typified by concurrency, decentralized control, and interaction. To this end, it argues for the development of new, process-based approaches to analysis, modelling, and simulation. The book provides the context—both philosophical and mathematical—for the construction and application of new, rigorous, and meaningful analytical tools. In terms of social theory, it adopts a Post-Cognitivist approach, the elements of which include the nature philosophy of Schelling, Marx’s critique of political economy, Peircean Pragmatism, Whitehead’s process philosophy, and Merleau-Ponty’s phenomenology of the flesh, along with cognitive scientific notions of embodied cognition and neural Darwinism, as well as more questionable notions of artificial intelligence that are encompassed by the rubric of "perception-and-action-without-intelligence".

Logic and Algorithms in Computational Linguistics 2021 (LACompLing2021)

Author : Roussanka Loukanova,Peter LeFanu Lumsdaine,Reinhard Muskens
Publisher : Springer Nature
Page : 350 pages
File Size : 45,9 Mb
Release : 2023-03-11
Category : Technology & Engineering
ISBN : 9783031217807

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Logic and Algorithms in Computational Linguistics 2021 (LACompLing2021) by Roussanka Loukanova,Peter LeFanu Lumsdaine,Reinhard Muskens Pdf

This book assesses the place of logic, mathematics, and computer science in present day, interdisciplinary areas of computational linguistics. Computational linguistics studies natural language in its various manifestations from a computational point of view, both on the theoretical level (modeling grammar modules dealing with natural language form and meaning and the relation between these two) and on the practical level (developing applications for language and speech technology). It is a collection of chapters presenting new and future research. The book focuses mainly on logical approaches to computational processing of natural language and on the applicability of methods and techniques from the study of formal languages, programming, and other specification languages. It presents work from other approaches to linguistics, as well, especially because they inspire new work and approaches.

Hyperintensionality and Normativity

Author : Federico L. G. Faroldi
Publisher : Springer
Page : 231 pages
File Size : 41,6 Mb
Release : 2019-03-28
Category : Philosophy
ISBN : 9783030034870

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Hyperintensionality and Normativity by Federico L. G. Faroldi Pdf

Presenting the first comprehensive, in-depth study of hyperintensionality, this book equips readers with the basic tools needed to appreciate some of current and future debates in the philosophy of language, semantics, and metaphysics. After introducing and explaining the major approaches to hyperintensionality found in the literature, the book tackles its systematic connections to normativity and offers some contributions to the current debates. The book offers undergraduate and graduate students an essential introduction to the topic, while also helping professionals in related fields get up to speed on open research-level problems.

Formal Grammar

Author : Annie Foret,Glyn Morrill,Reinhard Muskens,Rainer Osswald,Sylvain Pogodalla
Publisher : Springer
Page : 323 pages
File Size : 48,8 Mb
Release : 2016-08-05
Category : Mathematics
ISBN : 9783662530429

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Formal Grammar by Annie Foret,Glyn Morrill,Reinhard Muskens,Rainer Osswald,Sylvain Pogodalla Pdf

This book constitutes the refereed proceedings of the 20th and 21st International Conference on Formal Grammar 2015 and 2016, collocated with the European Summer School in Logic, Language and Information in August 2015/2016. The 19 revised full papers presented together with 2 invited talks were carefully reviewed and selected from a total of 34 submissions. The focus of papers are as follows: Formal and computational phonology, morphology, syntax, semantics and pragmatics Model-theoretic and proof-theoretic methods in linguistics Logical aspects of linguistic structure Constraint-based and resource-sensitive approaches to grammar Learnability of formal grammar Integration of stochastic and symbolic models of grammar Foundational, methodological and architectural issues in grammar and linguistics Mathematical foundations of statistical approaches to linguistic analysis

Graphical Models for Security

Author : Harley Eades III,Olga Gadyatskaya
Publisher : Springer Nature
Page : 199 pages
File Size : 54,7 Mb
Release : 2020-11-07
Category : Computers
ISBN : 9783030622305

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Graphical Models for Security by Harley Eades III,Olga Gadyatskaya Pdf

This book constitutes the proceedings of the 7th International Workshop on Graphical Models for Security, GramSec 2020, which took place on June 22, 2020. The workshop was planned to take place in Boston, MA, USA but changed to a virtual format due to the COVID-19 pandemic. The 7 full and 3 short papers presented in this volume were carefully reviewed and selected from 14 submissions. The papers were organized in topical sections named: attack trees; attacks and risks modelling and visualization; and models for reasoning about security.

Human Interface and the Management of Information. Information-Rich and Intelligent Environments

Author : Sakae Yamamoto,Hirohiko Mori
Publisher : Springer Nature
Page : 511 pages
File Size : 44,6 Mb
Release : 2021-07-03
Category : Computers
ISBN : 9783030783617

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Human Interface and the Management of Information. Information-Rich and Intelligent Environments by Sakae Yamamoto,Hirohiko Mori Pdf

The two-volume set LNCS 12765-12766 constitutes the refereed proceedings of the thematic area Human Interface and the Management of Information, HIMI 2021, which was held as part of HCI International 2021 and took place virtually during July 24-29, 2021. The total of 1276 papers and 241 posters included in the 39 HCII 2021 proceedings volumes was carefully reviewed and selected from 5222 submissions. The papers included in the HCII-HIMI volume set were organized in topical sections as follows: Part I: Information presentation; visualization and decision making support; information in VR and multimodal user interfaces; Part II: Learning in information-rich environments; supporting work, collaboration and design; intelligent information environments.