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Theopoetics of the Word: A New Beginning of Word and World (Radical Theologies and Philosophies)

Gabriel Vahanian's final work, Theopoetics of the Word weaves together Christian theology, continental philosophy and cultural studies to present a new theology of language and technology for the 21st century.

Theorem Proving in Higher Order Logics: 13th International Conference, TPHOLs 2000 Portland, OR, USA, August 14-18, 2000 Proceedings (Lecture Notes in Computer Science #1869)

This volume is the proceedings of the 13th International Conference on Theo­ rem Proving in Higher Order Logics (TPHOLs 2000) held 14-18 August 2000 in Portland, Oregon, USA. Each of the 55 papers submitted in the full rese­ arch category was refereed by at least three reviewers who were selected by the program committee. Because of the limited space available in the program and proceedings, only 29 papers were accepted for presentation and publication in this volume. In keeping with tradition, TPHOLs 2000 also offered a venue for the presen­ tation of work in progress, where researchers invite discussion by means of a brief preliminary talk and then discuss their work at a poster session. A supplemen­ tary proceedings containing associated papers for work in progress was published by the Oregon Graduate Institute (OGI) as technical report CSE-00-009. The organizers are grateful to Bob Colwell, Robin Milner and Larry Wos for agreeing to give invited talks. Bob Colwell was the lead architect on the Intel P6 microarchitecture, which introduced a number of innovative techniques and achieved enormous commercial success. As such, he is ideally placed to offer an industrial perspective on the challenges for formal verification. Robin Milner contributed many key ideas to computer theorem proving, and to functional programming, through his leadership of the influential Edinburgh LCF project.

Theorem Proving in Higher Order Logics: 16th International Conference, TPHOLs 2003, Rom, Italy, September 8-12, 2003, Proceedings (Lecture Notes in Computer Science #2758)

This volume constitutes the proceedings of the16th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2003) held September 8–12, 2003 in Rome, Italy. TPHOLs covers all aspects of theorem proving in higher order logics as well as related topics in theorem proving and veri?cation. TPHOLs 2003 was co-located with TABLEAUX, the International Con- rence on Automated Reasoning with Analytic Tableaux and Related Methods, and with Calculemus, the Symposium on the Integration of Symbolic Compu- tion and Mechanized Reasoning. There were 50 papers submitted to TPHOLs in the full research category, each of which was refereed by at least 3 reviewers, selected by the program c- mittee.Ofthesesubmissions,21wereacceptedforpresentationattheconference and publication in this volume. In keeping with tradition, TPHOLs 2003 also o?ered a venue for the presentation of work in progress, where researchers - vite discussion by means of a brief preliminary talk and then discuss their work at a poster session. A supplementary proceedings containing associated papers for work in progress was published by the computer science department at the Universit¨ at Freiburg. The organizers are grateful to Jean-Raymond Abrial, Patrick Lincoln, and Dale Miller for agreeing to give invited talks at TPHOLs 2003. The TPHOLs conference traditionally changes continent each year in order to maximize the chances that researchers from around the world can attend.

Theorem Proving in Higher Order Logics: 22nd International Conference, TPHOLs 2009, Munich, Germany, August 17-20, 2009, Proceedings (Lecture Notes in Computer Science #5674)

This book constitutes the refereed proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics, TPHOLs 200, held in Munich, Germany, in August 2009. The 26 revised full papers presented together with 1 proof pearl, 4 tool presentations, and 3 invited papers were carefully reviewed and selected from 55 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.

Theorem Proving in Higher Order Logics: 12th International Conference, TPHOLs'99, Nice, France, September 14-17, 1999, Proceedings (Lecture Notes in Computer Science #1690)

Theorem Proving in Higher Order Logics: 14th International Conference, TPHOLs 2001, Edinburgh, Scotland, UK, September 3-6, 2001. Proceedings (Lecture Notes in Computer Science #2152)

This volume constitutes the proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2001) held 3–6 September 2001 in Edinburgh, Scotland. TPHOLs covers all aspects of theorem proving in higher order logics, as well as related topics in theorem proving and veri?cation. TPHOLs 2001 was collocated with the 11th Advanced Research Working Conference on Correct Hardware Design and Veri?cation Methods (CHARME 2001). This was held 4–7 September 2001 in nearby Livingston, Scotland at the Institute for System Level Integration, and a joint half-day session of talks was arranged for the 5th September in Edinburgh. An excursion to Traquair House and a banquet in the Playfair Library of Old College, University of Edinburgh were also jointly organized. The proceedings of CHARME 2001 have been p- lished as volume 2144 of Springer-Verlag’s Lecture Notes in Computer Science series, with Tiziana Margaria and Tom Melham as editors. Each of the 47 papers submitted in the full research category was refereed by at least 3 reviewers who were selected by the Program Committee. Of these submissions, 23 were accepted for presentation at the conference and publication in this volume. In keeping with tradition, TPHOLs 2001 also o?ered a venue for the presentation of work in progress, where researchers invite discussion by means of a brief preliminary talk and then discuss their work at a poster session. A supplementary proceedings containing associated papers for work in progress was published by the Division of Informatics at the University of Edinburgh.

Theorem Proving in Higher Order Logics: 18th International Conference, TPHOLs 2005, Oxford, UK, August 22-25, 2005, Proceedings (Lecture Notes in Computer Science #3603)

This volume constitutes the proceedings of the 18th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2005), which was held during22–25August2005inOxford,UK.TPHOLscoversallaspectsoftheorem proving in higher order logics as well as related topics in theorem proving and veri?cation. There were 49 papers submitted to TPHOLs 2005 in the full research c- egory, each of which was refereed by at least three reviewers selected by the programcommittee. Of these submissions, 20 researchpapersand 4 proof pearls were accepted for presentation at the conference and publication in this volume. In keeping with longstanding tradition, TPHOLs 2005 also o?ered a venue for the presentation of work in progress, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings volume was published as a 2005 technical report of the Oxford University Computing Laboratory. The organizers are grateful to Wolfgang Paul and Andrew Pitts for agreeing to give invited talks at TPHOLs 2005.

Theorem Proving in Higher Order Logics: 21st International Conference, TPHOLs 2008, Montreal, Canada, August 18-21, 2008, Proceedings (Lecture Notes in Computer Science #5170)

This book constitutes the refereed proceedings of the 21st International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2008, held in Montreal, Canada, in August 2008. The 17 revised full papers presented together with 1 proof pearl (concise and elegant presentations of interesting examples), 5 tool presentations, and 2 invited papers were carefully reviewed and selected from 40 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalisation of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.

Theorem Proving in Higher Order Logics: 20th International Conference, TPHOLs 2007, Kaiserslautern, Germany, September 10-13, 2007, Proceedings (Lecture Notes in Computer Science #4732)

This book contains the refereed proceedings of the 20th International Conference on Theorem Proving in Higher Order Logics, TPHOLs 2007, held in Kaiserslautern, Germany, September 2007. Among the topics of this volume are formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.

Theorem Proving in Higher Order Logics: 17th International Conference, TPHOLS 2004, Park City, Utah, USA, September 14-17, 2004, Proceedings (Lecture Notes in Computer Science #3223)

This volume constitutes the proceedings of the 17th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2004) held September 14–17, 2004 in Park City, Utah, USA. TPHOLs covers all aspects of theorem proving in higher-order logics as well as related topics in theorem proving and veri?cation. There were 42 papers submitted to TPHOLs 2004 in the full research ca- gory, each of which was refereed by at least 3 reviewers selected by the program committee. Of these submissions, 21 were accepted for presentation at the c- ference and publication in this volume. In keeping with longstanding tradition, TPHOLs 2004 also o?ered a venue for the presentation of work in progress, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings c- taining papers about in-progress work was published as a 2004 technical report of the School of Computing at the University of Utah. The organizers are grateful to Al Davis, Thomas Hales, and Ken McMillan for agreeing to give invited talks at TPHOLs 2004. The TPHOLs conference traditionally changes continents each year in order to maximize the chances that researchers from around the world can attend.

Theorem Proving with the Real Numbers (Distinguished Dissertations)

This book discusses the use of the real numbers in theorem proving. Typ­ ically, theorem provers only support a few 'discrete' datatypes such as the natural numbers. However the availability of the real numbers opens up many interesting and important application areas, such as the verification of float­ ing point hardware and hybrid systems. It also allows the formalization of many more branches of classical mathematics, which is particularly relevant for attempts to inject more rigour into computer algebra systems. Our work is conducted in a version of the HOL theorem prover. We de­ scribe the rigorous definitional construction of the real numbers, using a new version of Cantor's method, and the formalization of a significant portion of real analysis. We also describe an advanced derived decision procedure for the 'Tarski subset' of real algebra as well as some more modest but practically useful tools for automating explicit calculations and routine linear arithmetic reasoning. Finally, we consider in more detail two interesting application areas. We discuss the desirability of combining the rigour of theorem provers with the power and convenience of computer algebra systems, and explain a method we have used in practice to achieve this. We then move on to the verification of floating point hardware. After a careful discussion of possible correctness specifications, we report on two case studies, one involving a transcendental function.

Theorems, Corollaries, Lemmas, and Methods of Proof (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts #82)

A hands-on introduction to the tools needed for rigorous and theoretical mathematical reasoning Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools needed to succeed while providing a firm foundation in the axiomatic structure of modern mathematics. This essential book: * Clearly explains the relationship between definitions, conjectures, theorems, corollaries, lemmas, and proofs * Reinforces the foundations of calculus and algebra * Explores how to use both a direct and indirect proof to prove a theorem * Presents the basic properties of real numbers * Discusses how to use mathematical induction to prove a theorem * Identifies the different types of theorems * Explains how to write a clear and understandable proof * Covers the basic structure of modern mathematics and the key components of modern mathematics A complete chapter is dedicated to the different methods of proof such as forward direct proofs, proof by contrapositive, proof by contradiction, mathematical induction, and existence proofs. In addition, the author has supplied many clear and detailed algorithms that outline these proofs. Theorems, Corollaries, Lemmas, and Methods of Proof uniquely introduces scratch work as an indispensable part of the proof process, encouraging students to use scratch work and creative thinking as the first steps in their attempt to prove a theorem. Once their scratch work successfully demonstrates the truth of the theorem, the proof can be written in a clear and concise fashion. The basic structure of modern mathematics is discussed, and each of the key components of modern mathematics is defined. Numerous exercises are included in each chapter, covering a wide range of topics with varied levels of difficulty. Intended as a main text for mathematics courses such as Methods of Proof, Transitions to Advanced Mathematics, and Foundations of Mathematics, the book may also be used as a supplementary textbook in junior- and senior-level courses on advanced calculus, real analysis, and modern algebra.

Theoremus: A Student's Guide to Mathematical Proofs

A compact and easily accessible book, it guides the reader in unravelling the apparent mysteries found in doing mathematical proofs. Simply written, it introduces the art and science of proving mathematical theorems and propositions and equips students with the skill required to tackle the task of proving mathematical assertions. Theoremus - A Student's Guide to Mathematical Proofs is divided into two parts. Part 1 provides a grounding in the notion of mathematical assertions, arguments and fallacies and Part 2, presents lessons learned in action by applying them into the study of logic itself. The book supplies plenty of examples and figures, gives some historical background on personalities that gave rise to the topic and provides reflective problems to try and solve. The author aims to provide the reader with the confidence to take a deep dive into some more advanced work in mathematics or logic.

The Theoretic Life - A Classical Ideal and its Modern Fate: Reflections on the Liberal Arts

In this work, Alexander Rosenthal Pubul presents a broad examination of the ancient philosophical question: “What is the good life?”, while addressing how the liberal arts can help us to answer this question. Greek philosophy distinguished between the “noble” (what is good in itself), from the merely “useful” (good for something else). From thence follows the distinction between the liberal arts which pursue such noble goods and the mechanical arts which are only instrumental. For Aristotle, the most noble and excellent good is wisdom itself. Hence the theoretic life devoted to the love of wisdom for its own sake –philosophy - is the highest and the most excellent. This work theorizes the origins of modernity in a rebellion against this Greek conception resulting in a complete inversion of the classical hierarchy. Sir. Francis Bacon reconceiving the purpose of knowledge as power, enthroned technology over philosophy and the liberal arts. The unfolding of the modern Baconian revolution progressively sidelines the liberal arts, as practical economic and technical utility become the standard of value. In assessing this problem, the book engages in a capacious journey across disciplines like philosophy, history, art, politics, and science. It is also a veritable tour across the Western intellectual tradition including Socrates, Plato, Aristotle, Cicero, Seneca, Thomas Aquinas, Bacon, Descartes, Hume, Kant, Nietzsche, Dewey, Berdyaev, Einstein, and Heidegger. It pleads the urgent need to preserve the humanizing cultural ideals of the ancient classics against the modern tyranny of utility and the dangers of a new barbarism.

Theoretical and Empirical Foundations of Critical Global Citizenship Education (Critical Global Citizenship Education)

In the first volume in the Critical Global Citizenship Education series, Torres combines theoretical and empirical research to present an original perspective on global citizenship education as a vitally important way of learning in a globalized world. In examining the requirements for effective global citizenship education and education reform, he investigates pathways to citizenship-building at the local, national and global levels and urges development of teaching methods, teacher education, and curriculum within a social justice education framework. Taking into account post-colonial perspectives, political realities at play, and practical implications, Torres provides a succinct but comprehensive understanding of how global citizenship education can expand the concept of civic education in a global society and interrupt inequality. This volume considers the ways that global citizenship education has been incorporated and is used by international institutions, governments, and the academy, and provides a clear framework for anyone struggling to make sense of the tensions and complexities of global citizenship education today.

Theoretical and Empirical Foundations of Critical Global Citizenship Education (Critical Global Citizenship Education)

In the first volume in the Critical Global Citizenship Education series, Torres combines theoretical and empirical research to present an original perspective on global citizenship education as a vitally important way of learning in a globalized world. In examining the requirements for effective global citizenship education and education reform, he investigates pathways to citizenship-building at the local, national and global levels and urges development of teaching methods, teacher education, and curriculum within a social justice education framework. Taking into account post-colonial perspectives, political realities at play, and practical implications, Torres provides a succinct but comprehensive understanding of how global citizenship education can expand the concept of civic education in a global society and interrupt inequality. This volume considers the ways that global citizenship education has been incorporated and is used by international institutions, governments, and the academy, and provides a clear framework for anyone struggling to make sense of the tensions and complexities of global citizenship education today.

Theoretical and Historical Evolutions of Self-Directed Learning: The Case for Learner-Led Education (Routledge Research in Education)

This book analyses the deep historical and theoretical roots of self-directed learning models in order to put forward a new conceptual understanding of Self-Directed Learning. It utilises philosophical methods to present arguments, both historical and contemporary, in favor of shifting education toward self-directed models and away from a view of education that places teachers, administration, curriculum, and standards at the center of the learning endeavor. This book demonstrates that Self-Directed Learning has proven to be effective in numerous contexts and builds on this history to present a new philosophy of education termed ‘Eudemonic Self-Directed Learning’, for individual and societal flourishing. Exploring exemplars from different cultural and historical settings to inform post-pandemic pedagogies and policies, this book will appeal to scholars and researchers of the history and philosophy of education, with interests in self-directed learning and its potential for contemporary practice.

Theoretical and Historical Evolutions of Self-Directed Learning: The Case for Learner-Led Education (Routledge Research in Education)

This book analyses the deep historical and theoretical roots of self-directed learning models in order to put forward a new conceptual understanding of Self-Directed Learning. It utilises philosophical methods to present arguments, both historical and contemporary, in favor of shifting education toward self-directed models and away from a view of education that places teachers, administration, curriculum, and standards at the center of the learning endeavor. This book demonstrates that Self-Directed Learning has proven to be effective in numerous contexts and builds on this history to present a new philosophy of education termed ‘Eudemonic Self-Directed Learning’, for individual and societal flourishing. Exploring exemplars from different cultural and historical settings to inform post-pandemic pedagogies and policies, this book will appeal to scholars and researchers of the history and philosophy of education, with interests in self-directed learning and its potential for contemporary practice.

Theoretical and Practical Reason in Economics: Capacities and Capabilities (SpringerBriefs in Philosophy)

The aim of the book is to argue for the restoration of theoretical and practical reason to economics. It presents Nancy Cartwright and Amartya Sen’s ideas as cases of this restoration and sees Aristotle as an influence on their thought. It looks at how we can use these ideas to develop a valuable understanding of practical reason for solving concrete problems in science and society. Cartwright’s capacities are real causes of events. Sen’s capabilities are the human person’s freedoms or possibilities. They relate these concepts to Aristotelian concepts. This suggests that these concepts can be combined. Sen’s capabilities are Cartwright’s capacities in the human realm; capabilities are real causes of events in economic life. Institutions allow us to deliberate on and guide our decisions about capabilities, through the use of practical reason. Institutions thus embody practical reason and infuse certain predictability into economic action. The book presents a case study: the UNDP’s HDI.​

Theoretical Aspects of Computer Software: 4th International Symposium, TACS 2001, Sendai, Japan, October 29-31, 2001. Proceedings (Lecture Notes in Computer Science #2215)

This volume constitutes the proceedings of the Fourth International Symposium on Theoretical Aspects of Computer Software (TACS 2001) held at Tohoku U- versity, Sendai, Japan in October 2001. The TACS symposium focuses on the theoretical foundations of progr- ming and their applications. As this volume shows, TACS is an international symposium, with participants from many di?erent institutions and countries. TACS 2001 was the fourth symposium in the TACS series, following TACS’91, TACS’94, and TACS’97, whose proceedings were published as Volumes 526, 789, and 1281, respectively, of Springer-Verlag’s Lecture Notes in Computer Science series. The TACS 2001 technical program consisted of invited talks and contributed talks. In conjunction with this program there was a special open lecture by Benjamin Pierce; this lecture was open to non-registrants. TACS 2001 bene?ted from the e?orts of many people; in particular, members of the Program Committee and the Organizing Committee. Our special thanks go to the Program Committee Co-chairs: Naoki Kobayashi (Tokyo Institute of Technology) Benjamin Pierce (University of Pennsylvania).

Theoretical Aspects of Computing – ICTAC 2016: 13th International Colloquium, Taipei, Taiwan, ROC, October 24–31, 2016, Proceedings (Lecture Notes in Computer Science #9965)

This book constitutes the refereed proceedings of the 13th International Colloquium on Theoretical Aspects of Computing, ICTAC 2016, held in Taipei, Taiwan, in October 2016.The 23 revised full papers presented together with two short papers, two invited papers and one abstract of an invited paper were carefully reviewed and selected from 60 submissions. The papers are organized in topical sections on program verification; design, synthesis and testing; calculi; specifications; composition and transformation; automata; temporal logics; tool and short papers.

Theoretical Aspects of Computing – ICTAC 2017: 14th International Colloquium, Hanoi, Vietnam, October 23-27, 2017, Proceedings (Lecture Notes in Computer Science #10580)

This book constitutes the refereed proceedings of the 14th International Colloquium on Theoretical Aspects of Computing, ICTAC 2017, held in Hanoi, Vietnam, in October 2017. The 17 revised full papers presented together with three invited talks were carefully reviewed and selected from 40 submissions. The papers are organized in topical sections on logics; software components and concurrency; automata; SMT solvers and algorithms; and security.

Theoretical Aspects of Computing - ICTAC 2004: First International Colloquium Guiyand, China, September 20-24, 2004, Revised Selected Papers (Lecture Notes in Computer Science #3407)

Theoretical Aspects of Computing - ICTAC 2005: Second International Colloquium, Hanoi, Vietnam, October 17-21, 2005, Proceedings (Lecture Notes in Computer Science #3722)

This volume contains the proceedings of ICTAC 2005, the second ICTAC, International Colloquium on Theoretical Aspects of Computing. ICTAC 2005 took place in Hanoi, Vietnam, October 17–21, 2005. ICTAC was founded by the International Institute for Software Technology of the United Nations University (UNU-IIST) to serve as a forum for practiti- ers, lecturers and researchers from academia, industry and government who are interested in theoretical aspects of computing and rigorous approaches to so- ware engineering. The colloquium is aimed particularly, but not exclusively, at participants from developing countries. We believe that this will help developing countries to strengthen their research, teaching and development in computer science and engineering, improve the links between developing countries and developed countries, and establish collaboration in research and education. By providingavenueforthediscussionofcommonproblemsandtheirsolutions,and for the exchangeof experiencesand ideas,this colloquiumsupportsresearchand development in computer science and software technology. ICTAC is attracting more and more attention from more and more countries.

Theoretical Aspects of Computing - ICTAC 2006: Third International Colloquium, Tunis, Tunisia, November 20-24, 2006 Proceedings (Lecture Notes in Computer Science #4281)

This book constitutes the refereed proceedings of the Third International Colloquium on Theoretical Aspects of Computing, ICTAC 2006 held in Tunis, Tunisia in November 2006. The 21 revised full papers presented together with three invited talks and summaries of two tutorials were carefully reviewed and selected from 78 submissions.