This self-contained monograph is an integrated study of generic systems defined by iterated relations using the two paradigms of abstraction and composition. This accommodates the complexity of some state-transition systems and improves understanding of complex or chaotic phenomena emerging in some dynamical systems. The main insights and results of this work concern a structural form of complexity obtained by composition of simple interacting systems representing opposed attracting behaviors. This complexity is expressed in the evolution of composed systems (their dynamics) and in the relations between their initial and final states (the computation they realize). The theoretical results are validated by analyzing dynamical and computational properties of low-dimensional prototypes of chaotic systems, high-dimensional spatiotemporally complex systems, and formal systems.

This book constitutes the refereed proceedings of the 25th International Static Analysis Symposium, SAS 2018, held in Freiburg, Germany, in August 2018. The 18 papers presented in this volume were carefully reviewed and selected from 37 submissions. The contributions cover a variety of multi-disciplinary topics in abstract domains: program verication, bug detection, compiler optimization, program understanding, and software maintenance.

This book constitutes the refereed proceedings of the 18th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2017, held in Paris, France, in January 2017. The 27 full papers together with 3 invited keynotes presented were carefully reviewed and selected from 60 submissions. VMCAI provides topics including: program verification, model checking, abstract interpretation and abstract domains, program synthesis, static analysis, type systems, deductive methods, program certification, debugging techniques, program transformation, optimization, hybrid and cyber-physical systems.

A unique graphical guide for using architectural terminology to jump-start the design process This design studio companion presents architectural terms with special emphasis on using these terms to generate design ideas. It highlights the architectural thinking behind the terminology and helps readers gain a thorough understanding of space and form. Featuring double-page spreads with over 190 illustrated entries, the book fully explores, analyzes, and cross-references key elements and techniques used in architecture and interior design. Each entry first defines the common meaning of the term, then goes on to discuss in detail its generative possibilities. Scenarios involving the use of a design principle, or the way it might be experienced, further aid students in developing strategies for their own design. In addition, Language of Space and Form: Divides entries into five categories for quick access to concepts, including process and generation, organization and ordering, operation and experience, objects and assemblies, and representation and communication Addresses studio practice from the ground up, encouraging readers to develop creativity and critical thinking as they develop a design process Offers supplemental online learning resources, including exercises that correspond to the book A must-have reference for professionals and students in architecture and interior design, Language of Space and Form is destined to become a classic introduction to design thinking.

The book constitutes the joint refereed proceedings of the 10th International Conference on Relational Methods in Computer Science, RelMiCS 2008, and the 5th International Conference on Applications of Kleene Algebras, AKA 2008, held in Manchester, UK in April 2008. The 26 revised full papers presented together with 2 invited papers were carefully reviewed and selected from numerous submissions. The papers describe the calculus of relations and similar algebraic formalisms as methodological and conceptual tools with special focus on formal methods for software engineering, logics of programs and links to neighbouring disciplines. Their scope comprises relation algebra, fixpoint calculi, semiring theory, iteration algebras, process algebras and dynamic algebras. Applications include formal algebraic modeling, the semantics, analysis and development of programs, formal language theory and combinatorial optimization.