Components Of Predicate Logic
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Elements of Set Theory
Author: Herbert B. Enderton
language: en
Publisher: Gulf Professional Publishing
Release Date: 1977-04-28
This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
Introduction to Mathematical Logic
"Introduction to Mathematical Logic" is tailored for undergraduate students seeking a comprehensive introduction to this essential field of mathematics. We provide an accessible yet rigorous exploration of the principles, methods, and applications of mathematical logic. From the foundations of propositional and predicate logic to advanced topics like Gödel's incompleteness theorems and computability theory, we cover a broad range of concepts central to the study of logic. Through clear explanations, illustrative examples, and carefully crafted exercises, students will develop a deep understanding of logical reasoning, formal proof techniques, and the structure of mathematical arguments. Moreover, we emphasize the interdisciplinary nature of mathematical logic, showcasing its relevance in mathematics, philosophy, computer science, and beyond. Real-world applications of logical reasoning are woven throughout the text, demonstrating how logical principles underpin various fields of study, from algorithm design and formal verification to philosophical analysis and linguistic theory. Whether you're a mathematics major, a philosophy student, or pursuing studies in computer science, this book equips you with the tools and insights necessary to navigate the complexities of mathematical logic with confidence. With its blend of theory and application, this text serves as an invaluable resource for undergraduate students embarking on their journey into the realm of mathematical logic.
Formal Methods for Components and Objects
Largeandcomplexsoftwaresystemsprovidethenecessaryinfrastuctureinall- dustries today. In order to construct such large systems in a systematic manner, the focus in the development methodologies has switched in the last two decades from functional issues to structural issues: both data and functions are enc- sulated into software units that are integrated into large systems by means of various techniques supporting reusability and modi?ability. This encapsulation principleisessentialtoboththeobject-orientedandthemorerecentcompone- based sofware engineering paradigms. Formalmethodshavebeenappliedsuccessfullytotheveri?cationofmedi- sized programs in protocol and hardware design. However, their application to large systems requires the further development of speci?cation and veri?cation techniques supporting the concepts of reusability and modi?ability. In order to bring together researchers and practioners in the areas of so- ware engineering and formal methods, we organized the 1st International S- posium on Formal Methods for Components and Objects (FMCO) in Leiden, The Netherlands, November 5–8, 2002. The program consisted of invited tu- rials and more technical presentations given by leading experts in the ?elds of Theoretical Computer Science and Software Engineering. The symposium was attended by more than 100 people. This volume contains the contributions of the invited speakers to FMCO 2002. We believe that the presented material provides a unique combination of ideas on software engineering and formal methods which we hope will be an inspiration for those aiming at further bridging the gap between the theory and practice of software engineering.