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The Semantics and Proof Theory of the Logic of Bunched Implications
This is a monograph about logic. Specifically, it presents the mathe matical theory of the logic of bunched implications, BI: I consider Bl's proof theory, model theory and computation theory. However, the mono graph is also about informatics in a sense which I explain. Specifically, it is about mathematical models of resources and logics for reasoning about resources. I begin with an introduction which presents my (background) view of logic from the point of view of informatics, paying particular attention to three logical topics which have arisen from the development of logic within informatics: • Resources as a basis for semantics; • Proof-search as a basis for reasoning; and • The ...
Reductive Logic and Proof-search
This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search, areas of logic that are becoming important in computer science. A systematic foundational text on these emerging topics, it includes proof-theoretic, semantic/model-theoretic and algorithmic aspects. The scope ranges from the conceptual background to reductive logic, through its mathematical metatheory, to its modern applications in the computational sciences. Suitable for researchers and graduate students in mathematical, computational and philosophical logic, and in theoretical computer science and artificial intelligence, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (2nd Edition), Dov M. Gabbay, Mark A. Reynolds, and Marcelo Finger's Temporal Logic Mathematical Foundations and Computational Aspects , J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and Nonmonotonic Reasoning , and P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2 .
The Narrative of Arthur Gordon Pym of Nantucket
"The Narrative of Arthur Gordon Pym of Nantucket", a story by Edgar Allan Poe, recounts the adventure of Pym, who embarks clandestinely on a whaler. After a mutiny and various adversities, including cannibalism and natural disasters, the story culminates in a mysterious and inconclusive encounter at the South Pole.
The Chinery Collection
Scott Chinery has carefully and painstakingly built a museum-quality collection of the very finest examples of American guitars. Presented in print for the first time is a breathtaking display of 250 great guitars from his unique collection, covering ever significant development beginning with Martin's 'parlor' guitars of the 1830s to recent D'Aquisto archtops. Presented in full color, this limited edition, slipcased volume is a wonderful and unparalleled resource for the player, collector and music fan. Every important and beautiful strand of the luthier's art in America is portrayed here. Published as a special collectors' edition, The Chinery Collection is limited to 6000 numbered copies worldwide.
Computability and Randomness
The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic tools can also be used to introduce mathematical counterparts for the intuitive notion of randomness of a set. Recent research shows that, conversely, concepts and methods originating from randomness enrich computability theory. The book covers topics such as lowness and highness properties, Kolmogorov complexity, betting strategies and higher computability. Both the basics and recent research results are desribed, providing a very readable introduction to the exciting interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.
Consequence Relations
The publication of Rasiowa and Sikorski's The Mathematics of Metamathematics (1970), Rasiowa's An Algebraic Approach to Non-Classical Logics (1974), and Wójcicki's Theory of Logical Calculi (1988) created a niche in the field of mathematical and philosophical logic. This in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, fills this niche. Citkin and Muravitsky consider the problem of obtaining confirmation that a statement is a consequence of a set of statements as prerequisites, on the one hand, and the problem of demonstrating that such confirmation does not exist in the structure under consideration, on the other hand. For ...
Simplicity Theory
An up-to-date account of the current techniques and results in Simplicity Theory, which has been a focus of research in model theory for the last decade. Suitable for logicians, mathematicians and graduate students working on model theory.
Computer Science Logic
The 1999 Annual Conference of the European Association for Computer Science Logic, CSL’99, was held in Madrid, Spain, on September 20-25, 1999. CSL’99 was the 13th in a series of annual meetings, originally intended as Internat- nal Workshops on Computer Science Logic, and the 8th to be held as the - nual Conference of the EACSL. The conference was organized by the Computer Science Departments (DSIP and DACYA) at Universidad Complutense in M- rid (UCM). The CSL’99 program committee selected 34 of 91 submitted papers for p- sentation at the conference and publication in this proceedings volume. Each submitted paper was refereed by at least two, and in almost all cases, three di erent referees. The second refereeing round, previously required before a - per was accepted for publication in the proceedings, was dropped following a decision taken by the EACSL membership meeting held during CSL’98 (Brno, Czech Republic, August 25, 1998).
Samson Abramsky on Logic and Structure in Computer Science and Beyond
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 ...
The Oxford Handbook of Cyber Security
As societies, governments, corporations and individuals become more dependent on the digital environment so they also become increasingly vulnerable to misuse of that environment. A considerable industry has developed to provide the means with which to make cyber space more secure, stable and predictable. Cyber security is concerned with the identification, avoidance, management and mitigation of risk in, or from, cyber space - the risk of harm and damage that might occur as the result of everything from individual carelessness, to organised criminality, to industrial and national security espionage and, at the extreme end of the scale, to disabling attacks against a country's critical natio...
