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Logical Approach to Systems Theory (LAST) provides the foundations for the second order treatment of system models and an effective framework for applying basic concepts in systems theory to the design of information systems. The main characteristics of LAST are: 1. type-free representation of system models; 2. distinction of system models from their structures; 3. hierarchical structure expansion, which describes inheritance of structures. The basic concept of LAST mainly focuses on a system model structure, morphism for similarity and universality of realization. This book provides a comprehensive treatment of the basic concepts and additional discussion of such important issues as hierarchy and system properties.
By formalizing recent syntactic theories for natural languages Stabler shows how their complexity can be handled without guesswork or oversimplification. By formalizing recent syntactic theories for natural languages in the tradition of Chomsky's Barriers, Stabler shows how their complexity can be handled without guesswork or oversimplification. He introduces logical representations of these theories together with special deductive techniques for exploring their consequences that will provide linguists with a valuable tool for deriving and testing theoretical predictions and for experimenting with alternative formulations of grammatical principles. Stabler's novel approach allows results to be deduced with straightforward calculations and provides a systematic framework for tackling the problem of how speakers can infer the properties of an utterance from principles of the grammar. The special treatment of equality, induction principles, and inclusion of a general method for collecting structures from proofs means that sophisticated linguistic arguments can be carried out in detail, giving a rich perspective to issues in linguistic theory and parsing.
Hybrid systems are models for complex physical systems and have become a widely used concept for understanding their behavior. Many applications are safety-critical, including car, railway, and air traffic control, robotics, physical–chemical process control, and biomedical devices. Hybrid systems analysis studies how we can build computerized controllers for physical systems which are guaranteed to meet their design goals. The author gives a unique, logic-based perspective on hybrid systems analysis. It is the first book that leverages the power of logic for hybrid systems. The author develops a coherent logical approach for systematic hybrid systems analysis, covering its theory, practice, and applications. It is further shown how the developed verification techniques can be used to study air traffic and railway control systems. This book is intended for researchers, postgraduates, and professionals who are interested in hybrid systems analysis, cyberphysical or embedded systems design, logic and theorem proving, or transportation and automation.
There is hardly a science that is without the notion of "system". We have systems in mathematics, formal systems in logic, systems in physics, electrical and mechanical engineering, architectural-, operating-, infonnation-, programming systems in computer science, management-and PJoduction systems in industrial applications, economical-, ecological-, biological systems, and many more. In many of these disciplines formal tools for system specification, construction, verification, have been developed as well as mathematical concepts for system modeling and system simulation. Thus it is quite natural to expect that systems theory as an interdisciplinary and well established science offering general concepts and methods for a wide variety of applications is a subject in its own right in academic education. However, as can be seen from the literature and from the curricula of university studies -at least in Central Europe-, it is subordinated and either seen as part of mathematics with the risk that mathematicians, who may not be familiar with applications, define it in their own way, or it is treated separately within each application field focusing on only those aspects which are thought to be needed in the particular application. This often results in uneconomical re-inventing and re-naming of concepts and methods within one field, while the same concepts and methods are already well introduced and practiced in other fields. The fundamentals on general systems theory were developed several decades ago. We note the pioneering work of M. A. Arbib, R. E. Kalman, G. 1. Klir, M. D.
This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.
This book constitutes a refereed post-workshop selection of papers presented at the 6th International Workshop on Computer-Aided Systems Theory, EUROCAST'97, held in Las Palmas de Gran Canaria, Spain, in February 1997. The 50 revised full papers presented were carefully selected for inclusion in the volume. The book is divided into sections on design environments and tools, theory and methods, engineering systems, intelligent systems, signal processing, and specific methods and applications.
'A major rewrite of Dettmer's classic Goldratt's Theory of Constraints, this new edition presents a whole new approach to building and applying logic trees. The logical thinking process referred to in the title is nothing less than a broadly applicable, systems-level approach to policy analysis. Dettmer has streamlined the process of constructing the logic trees while simultaneously ensuring that the results are more logically sound and closer representations of reality than ever before. He explains an easier, more logically sound way to integrate Current Reality Trees with Evaporating Clouds. His new version of the thinking process "retires" the Transition Tree in favor of the marriage of a more detailed Prerequisite Tree and critical chain project management. This book contains new examples of logic trees from a variety of real-world applications. Most of the diagrams and illustrations are new and improved. Explanations and procedures for constructing the logic trees are considerably simplified.
The ability to shape one's own destiny-to make decisions on the basis of one's own ideals and goals-is a uniquely human characteristic. It is shared by the groups that human beings fonn-peoples, nations, and other communities--each bound by a common destiny. The very existence of different individuals and groups that have this characteristic virtually guarantees that there will be conflicts among them. And yet it is also human to want to find common ground with others. When individuals or groups emphasize their differences, the result is conflict; when they find common ground, cooperation becomes possible. However, even when it appears that cooperative efforts have resolved the sources of conflict, not all conflict will disappear. Conflict is a natural part of all human interaction. Both conflict and cooperation exist simultaneously. All social phenomena can ultimately be reduced to the question of how these two human characteristics are reconciled and allowed to coexist on the same plane.