Samson Abramsky On Logic And Structure In Computer Science And Beyond

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Samson Abramsky on Logic and Structure in Computer Science and Beyond

Alessandra Palmigiano,Mehrnoosh Sadrzadeh
Samson Abramsky on Logic and Structure in Computer Science and Beyond Book PDF

Author : Alessandra Palmigiano,Mehrnoosh Sadrzadeh
Publisher : Springer Nature
Page : 1149 pages
File Size : 53,9 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.

Topological Duality for Distributive Lattices

Mai Gehrke,Sam van Gool
Topological Duality for Distributive Lattices Book PDF

Author : Mai Gehrke,Sam van Gool
Publisher : Cambridge University Press
Page : 370 pages
File Size : 41,9 Mb
Release : 2024-02-29
Category : Computers
ISBN : 9781009349710

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Topological Duality for Distributive Lattices by Mai Gehrke,Sam van Gool Pdf

Introducing Stone–Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.

Handbook of Logic in Computer Science: Volume 2. Background: Computational Structures

S. Abramsky
Handbook of Logic in Computer Science Volume 2 Background Computational Structures Book PDF

Author : S. Abramsky
Publisher : Clarendon Press
Page : 582 pages
File Size : 41,6 Mb
Release : 1992-12-10
Category : Mathematics
ISBN : 0198537611

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Handbook of Logic in Computer Science: Volume 2. Background: Computational Structures by S. Abramsky Pdf

The Handbook of Logic in Computer Science is a multi-volume work covering all major areas of application of logic to theoretical computer science.

From Electrons to Elephants and Elections

Shyam Wuppuluri,Ian Stewart
From Electrons to Elephants and Elections Book PDF

Author : Shyam Wuppuluri,Ian Stewart
Publisher : Springer Nature
Page : 886 pages
File Size : 48,9 Mb
Release : 2022-04-08
Category : Science
ISBN : 9783030921927

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From Electrons to Elephants and Elections by Shyam Wuppuluri,Ian Stewart Pdf

This highly interdisciplinary book, covering more than six fields, from philosophy and sciences all the way up to the humanities and with contributions from eminent authors, addresses the interplay between content and context, reductionism and holism and their meeting point: the notion of emergence. Much of today’s science is reductionist (bottom-up); in other words, behaviour on one level is explained by reducing it to components on a lower level. Chemistry is reduced to atoms, ecosystems are explained in terms of DNA and proteins, etc. This approach fails quickly since we can’t cannot extrapolate to the properties of atoms solely from Schrödinger's equation, nor figure out protein folding from an amino acid sequence or obtain the phenotype of an organism from its genotype. An alternative approach to this is holism (top-down). Consider an ecosystem or an organism as a whole: seek patterns on the same scale. Model a galaxy not as 400 billion-point masses (stars) but as an object in its own right with its own properties (spiral, elliptic). Or a hurricane as a structured form of moist air and water vapour. Reductionism is largely about content, whereas holistic models are more attuned to context. Reductionism (content) and holism (context) are not opposing philosophies — in fact, they work best in tandem. Join us on a journey to understand the multifaceted dialectic concerning this duo and how they shape the foundations of sciences and humanities, our thoughts and, the very nature of reality itself.

Handbook of Logic in Computer Science: Volume 2. Background: Computational Structures

S. Abramsky
Handbook of Logic in Computer Science Volume 2 Background Computational Structures Book PDF

Author : S. Abramsky
Publisher : Clarendon Press
Page : 582 pages
File Size : 50,7 Mb
Release : 1992-12-10
Category : Mathematics
ISBN : 0198537611

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Handbook of Logic in Computer Science: Volume 2. Background: Computational Structures by S. Abramsky Pdf

The Handbook of Logic in Computer Science is a multi-volume work covering all major areas of application of logic to theoretical computer science.

Handbook of Logic in Computer Science: Volume 2. Background: Computational Structures

S. Abramsky
Handbook of Logic in Computer Science Volume 2 Background Computational Structures Book PDF

Author : S. Abramsky
Publisher : Clarendon Press
Page : 582 pages
File Size : 43,6 Mb
Release : 1992-12-10
Category : Mathematics
ISBN : 0198537611

Get Book

Handbook of Logic in Computer Science: Volume 2. Background: Computational Structures by S. Abramsky Pdf

The Handbook of Logic in Computer Science is a multi-volume work covering all major areas of application of logic to theoretical computer science.

The Quantum-Like Revolution

Arkady Plotnitsky,Emmanuel Haven
The Quantum Like Revolution Book PDF

Author : Arkady Plotnitsky,Emmanuel Haven
Publisher : Springer Nature
Page : 387 pages
File Size : 41,6 Mb
Release : 2023-06-27
Category : Science
ISBN : 9783031129865

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The Quantum-Like Revolution by Arkady Plotnitsky,Emmanuel Haven Pdf

Over the last ten years, elements of the formalism of quantum mechanics have been successfully applied beyond physics in areas such as psychology (especially cognition), economics and finance (especially in the formalization of so-called ‘decision making’), political science, and molecular biology. An important stream of work along these lines, commonly under the heading of quantum-like modeling, has been published in well regarded scientific journals, and major publishers have devoted entire books to the topic. This Festschrift honors a key figure in this field of research: Andrei Khrennikov, who made momentous contributions to it and to quantum foundations themselves. While honoring these contributions, and in order to do so, this Festschrift orients its reader toward the future rather than focusing on the past: it addresses future challenges and establishes the way forward in both domains, quantum-like modeling and quantum foundations. A while ago, in response to the developments of using the quantum formalism outside of quantum mechanics, the eminent quantum physicist Anton Zeilinger said, ‘Why should it be precisely the quantum mechanics formalism? Maybe its generalization would be more adequate...’ This volume responds to this statement by both showing the reasons for the continuing importance of quantum formalism and yet also considering pathways to such generalizations. Khrennikov’s work has been indispensable in establishing the great promise of quantum and quantum-like thinking in shaping the future of scientific research across the disciplines.

Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky

Bob Coecke,Luke Ong,Prakash Panangaden
Computation Logic Games and Quantum Foundations The Many Facets of Samson Abramsky Book PDF

Author : Bob Coecke,Luke Ong,Prakash Panangaden
Publisher : Springer
Page : 363 pages
File Size : 52,8 Mb
Release : 2013-05-16
Category : Computers
ISBN : 3642381634

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Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky by Bob Coecke,Luke Ong,Prakash Panangaden Pdf

This Festschrift volume, published in honor of Samson Abramsky, contains contributions written by some of his colleagues, former students, and friends. In celebration of the 60th birthday of Samson Abramsky, a conference was held in Oxford, UK, during May 28-30, 2010. The papers in this volume represent his manifold contributions to semantics, logic, games, and quantum mechanics.

Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky

Bob Coecke,Luke Ong,Prakash Panangaden
Computation Logic Games and Quantum Foundations The Many Facets of Samson Abramsky Book PDF

Author : Bob Coecke,Luke Ong,Prakash Panangaden
Publisher : Springer
Page : 365 pages
File Size : 54,7 Mb
Release : 2013-11-18
Category : Computers
ISBN : 9783642381645

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Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky by Bob Coecke,Luke Ong,Prakash Panangaden Pdf

This Festschrift volume, published in honor of Samson Abramsky, contains contributions written by some of his colleagues, former students, and friends. In celebration of the 60th birthday of Samson Abramsky, a conference was held in Oxford, UK, during May 28-30, 2010. The papers in this volume represent his manifold contributions to semantics, logic, games, and quantum mechanics.

Logic and Algebraic Structures in Quantum Computing

Jennifer Chubb,Ali Eskandarian,Valentina Harizanov
Logic and Algebraic Structures in Quantum Computing Book PDF

Author : Jennifer Chubb,Ali Eskandarian,Valentina Harizanov
Publisher : Cambridge University Press
Page : 355 pages
File Size : 47,9 Mb
Release : 2016-02-26
Category : Computers
ISBN : 9781107033399

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Logic and Algebraic Structures in Quantum Computing by Jennifer Chubb,Ali Eskandarian,Valentina Harizanov Pdf

Experts in the field explore the connections across physics, quantum logic, and quantum computing.

Arnon Avron on Semantics and Proof Theory of Non-Classical Logics

Ofer Arieli,Anna Zamansky
Arnon Avron on Semantics and Proof Theory of Non Classical Logics Book PDF

Author : Ofer Arieli,Anna Zamansky
Publisher : Springer Nature
Page : 369 pages
File Size : 46,5 Mb
Release : 2021-07-30
Category : Philosophy
ISBN : 9783030712587

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Arnon Avron on Semantics and Proof Theory of Non-Classical Logics by Ofer Arieli,Anna Zamansky Pdf

This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.

Mathematical Foundations of Information Flow

Samson Abramsky,Michael W. Mislove
Mathematical Foundations of Information Flow Book PDF

Author : Samson Abramsky,Michael W. Mislove
Publisher : American Mathematical Soc.
Page : 267 pages
File Size : 55,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821849231

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Mathematical Foundations of Information Flow by Samson Abramsky,Michael W. Mislove Pdf

This volume is based on the 2008 Clifford Lectures on Information Flow in Physics, Geometry and Logic and Computation, held March 12-15, 2008, at Tulane University in New Orleans, Louisiana. The varying perspectives of the researchers are evident in the topics represented in the volume, including mathematics, computer science, quantum physics and classical and quantum information. A number of the articles address fundamental questions in quantum information and related topics in quantum physics, using abstract categorical and domain-theoretic models for quantum physics to reason about such systems and to model spacetime. Readers can expect to gain added insight into the notion of information flow and how it can be understood in many settings. They also can learn about new approaches to modeling quantum mechanics that provide simpler and more accessible explanations of quantum phenomena, which don't require the arcane aspects of Hilbert spaces and the cumbersome notation of bras and kets.

Logic and Program Semantics

Robert L. Constable,Alexandra Silva
Logic and Program Semantics Book PDF

Author : Robert L. Constable,Alexandra Silva
Publisher : Springer
Page : 357 pages
File Size : 48,6 Mb
Release : 2012-04-26
Category : Computers
ISBN : 9783642294853

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Logic and Program Semantics by Robert L. Constable,Alexandra Silva Pdf

This Festschrift volume is published in honor of Dexter Kozen on the occasion of his 60th birthday. Dexter Kozen has been a leader in the development of Kleene Algebras (KAs). The contributions in this volume reflect the breadth of his work and influence. The volume includes 19 full papers related to Dexter Kozen's research. They deal with coalgebraic methods, congruence closure; the completeness of various programming logics; decision procedure for logics; alternation; algorithms and complexity; and programming languages and program analysis. The second part of this volume includes laudatios from several collaborators, students and friends, including the members of his current band.

Handbook of Logic in Computer Science

S. Abramsky,Dov M. Gabbay,Thomas S. E. Maibaum
Handbook of Logic in Computer Science Book PDF

Author : S. Abramsky,Dov M. Gabbay,Thomas S. E. Maibaum
Publisher : Unknown
Page : 0 pages
File Size : 54,8 Mb
Release : 2023
Category : Computer science
ISBN : 1383026181

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Handbook of Logic in Computer Science by S. Abramsky,Dov M. Gabbay,Thomas S. E. Maibaum Pdf

This handbook covers fundamental topics of semantic modelling in logic and computation. This volume brings the reader up to front line research, and should be of interest to algebraists, computer scientists, logicians, and AI researchers.

Category Theory and Computer Science

David H. Pitt,Pierre-Louis Curien,Samson Abramsky,Andrew Pitts,Axel Poigne,David E. Rydeheard
Category Theory and Computer Science Book PDF

Author : David H. Pitt,Pierre-Louis Curien,Samson Abramsky,Andrew Pitts,Axel Poigne,David E. Rydeheard
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 53,9 Mb
Release : 1991-08-21
Category : Mathematics
ISBN : 354054495X

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Category Theory and Computer Science by David H. Pitt,Pierre-Louis Curien,Samson Abramsky,Andrew Pitts,Axel Poigne,David E. Rydeheard Pdf

The papers in this volume were presented at the fourth biennial Summer Conference on Category Theory and Computer Science, held in Paris, September3-6, 1991. Category theory continues to be an important tool in foundationalstudies in computer science. It has been widely applied by logicians to get concise interpretations of many logical concepts. Links between logic and computer science have been developed now for over twenty years, notably via the Curry-Howard isomorphism which identifies programs with proofs and types with propositions. The triangle category theory - logic - programming presents a rich world of interconnections. Topics covered in this volume include the following. Type theory: stratification of types and propositions can be discussed in a categorical setting. Domain theory: synthetic domain theory develops domain theory internally in the constructive universe of the effective topos. Linear logic: the reconstruction of logic based on propositions as resources leads to alternatives to traditional syntaxes. The proceedings of the previous three category theory conferences appear as Lecture Notes in Computer Science Volumes 240, 283 and 389.