CONCRETE ABSTRACTIONS offers students a hands-on, abstraction-based experience of thinking like a computer scientist. This text covers the basics of programming and data structures, and gives first-time computer science students the opportunity to not only write programs, but to prove theorems and analyze algorithms as well. Students learn a variety of programming styles, including functional programming, assembly-language programming, and object-oriented programming (OOP). While most of the book uses the Scheme programming language, Java is introduced at the end as a second example of an OOP system and to demonstrate concepts of concurrent programming.

This book demonstrates how to formally model various mathematical domains (including algorithms operating in these domains) in a way that makes them amenable to a fully automatic analysis by computer software.The presented domains are typically investigated in discrete mathematics, logic, algebra, and computer science; they are modeled in a formal language based on first-order logic which is sufficiently rich to express the core entities in whose correctness we are interested: mathematical theorems and algorithmic specifications. This formal language is the language of RISCAL, a “mathematical model checker” by which the validity of all formulas and the correctness of all algorithms can be automatically decided. The RISCAL software is freely available; all formal contents presented in the book are given in the form of specification files by which the reader may interact with the software while studying the corresponding book material.

Art produced outside hegemonic centers is often seen as a form of derivation or relegated to a provisional status. Forming Abstraction turns this narrative on its head. In the first book-length study of postwar Brazilian art and culture, Adele Nelson highlights the importance of exhibitionary and pedagogical institutions in the development of abstract art in Brazil. By focusing on the formation of the São Paulo Biennial in 1951; the early activities of artists Geraldo de Barros, Lygia Clark, Waldemar Cordeiro, Hélio Oiticica, Lygia Pape, and Ivan Serpa; and the ideas of critics like Mário Pedrosa, Nelson illuminates the complex, strategic processes of citation and adaption of both local and international forms. The book ultimately demonstrates that Brazilian art institutions and abstract artistic groups—and their exhibitions of abstract art in particular—served as crucial loci for the articulation of societal identities in a newly democratic nation at the onset of the Cold War.

A landmark study of abstraction in architectural history, theory, and practice that challenges our assumptions about the meaning of abstract forms. In this theoretical study of abstraction in architecture—the first of its kind—Pier Vittorio Aureli argues for a reconsideration of abstraction, its meanings, and its sources. Although architects have typically interpreted abstraction in formal terms—the purposeful reduction of the complexities of design to its essentials—Aureli shows that abstraction instead arises from the material conditions of building production. In a lively study informed by Walter Benjamin, Karl Marx, Alfred Sohn-Rethel, and other social theorists, this book presents abstraction in architecture not as an aesthetic tendency but as a movement that arises from modern divisions of labor and consequent social asymmetries. These divisions were anticipated by the architecture of antiquity, which established a distinction between manual and intellectual labor, and placed the former in service to the latter. Further abstractions arose as geometry, used for measuring territories, became the intermediary between land and money and eventually produced the logic of the grid. In our own time, architectural abstraction serves the logic of capitalism and embraces the premise that all things can be exchanged—even experience itself is a commodity. To resist this turn, Aureli seeks a critique of architecture that begins not by scaling philosophical heights, but by standing at the ground level of material practice.

Liskov (engineering, Massachusetts Institute of Technology) and Guttag (computer science and engineering, also at MIT) present a component- based methodology for software program development. The book focuses on modular program construction: how to get the modules right and how to organize a program as a collection of modules. It explains the key types of abstractions, demonstrates how to develop specifications that define these abstractions, and illustrates how to implement them using numerous examples. An introduction to key Java concepts is included. Annotation copyrighted by Book News, Inc., Portland, OR.

Constraint Programming aims at solving hard combinatorial problems, with a computation time increasing in practice exponentially. The methods are today efficient enough to solve large industrial problems, in a generic framework. However, solvers are dedicated to a single variable type: integer or real. Solving mixed problems relies on ad hoc transformations. In another field, Abstract Interpretation offers tools to prove program properties, by studying an abstraction of their concrete semantics, that is, the set of possible values of the variables during an execution. Various representations for these abstractions have been proposed. They are called abstract domains. Abstract domains can mix any type of variables, and even represent relations between the variables. In this work, we define abstract domains for Constraint Programming, so as to build a generic solving method, dealing with both integer and real variables. We also study the octagons abstract domain, already defined in Abstract Interpretation. Guiding the search by the octagonal relations, we obtain good results on a continuous benchmark. We also define our solving method using Abstract Interpretation techniques, in order to include existing abstract domains. Our solver, AbSolute, is able to solve mixed problems and use relational domains. - Exploits the over-approximation methods to integrate AI tools in the methods of CP - Exploits the relationships captured to solve continuous problems more effectively - Learn from the developers of a solver capable of handling practically all abstract domains

The book presents an integral Marxist conception of the dialectics and methodology of scientific theoretical cognition, of the dialectical interrelation between the abstract and the concrete, of the unity of the historical and the logical, of the correlat

An approach to software design that introduces a fully automated analysis giving designers immediate feedback, now featuring the latest version of the Alloy language. In Software Abstractions Daniel Jackson introduces an approach to software design that draws on traditional formal methods but exploits automated tools to find flaws as early as possible. This approach—which Jackson calls “lightweight formal methods” or “agile modeling”—takes from formal specification the idea of a precise and expressive notation based on a tiny core of simple and robust concepts but replaces conventional analysis based on theorem proving with a fully automated analysis that gives designers immediate feedback. Jackson has developed Alloy, a language that captures the essence of software abstractions simply and succinctly, using a minimal toolkit of mathematical notions. This revised edition updates the text, examples, and appendixes to be fully compatible with Alloy 4.

A completely revised edition, offering new design recipes for interactive programs and support for images as plain values, testing, event-driven programming, and even distributed programming. This introduction to programming places computer science at the core of a liberal arts education. Unlike other introductory books, it focuses on the program design process, presenting program design guidelines that show the reader how to analyze a problem statement, how to formulate concise goals, how to make up examples, how to develop an outline of the solution, how to finish the program, and how to test it. Because learning to design programs is about the study of principles and the acquisition of transferable skills, the text does not use an off-the-shelf industrial language but presents a tailor-made teaching language. For the same reason, it offers DrRacket, a programming environment for novices that supports playful, feedback-oriented learning. The environment grows with readers as they master the material in the book until it supports a full-fledged language for the whole spectrum of programming tasks. This second edition has been completely revised. While the book continues to teach a systematic approach to program design, the second edition introduces different design recipes for interactive programs with graphical interfaces and batch programs. It also enriches its design recipes for functions with numerous new hints. Finally, the teaching languages and their IDE now come with support for images as plain values, testing, event-driven programming, and even distributed programming.