1 edition of Iteration Theories found in the catalog.
Written both for graduate students and research scientists in theoretical computer science and mathematics, this book provides a detailed investigation of the properties of the fixed point or iteration operation. Iteration plays a fundamental role in the theory of computation: for example, in the theory of automata, in formal language theory, in the study of formal power series, in the semantics of flowchart algorithms and programming languages, and in circular data type definitions. It is shown that in all structures that have beenused as semantic models, the equational properties of the fixed point operation are captured by the axioms describing iteration theories. These structures include ordered algebras, partial functions, relations, finitary and infinitary regular languages, trees, synchronization trees, 2-categories, and others. The book begins with a gentle introduction to the study of universal algebra in the framework of algebraictheories. A remarkably useful calculus is developed for manipulating algebraic theory terms. The reader is then guided through a vast terrain of theorems and applications by means of detailed proofs,examples, and exercises, with the emphasis on equational proofs. The last chapter shows that the familiar topic of correctness logic is a special caseof the equational logic of iteration theories. Several significant open problems are scattered throughout the text.
|Statement||by Stephen L. Bloom, Zoltán Ésik|
|Series||EATCS Monographs on Theoretical Computer Science, EATCS monographs on theoretical computer science|
|LC Classifications||QA76.9.L63, QA76.5913, QA76.63|
|The Physical Object|
|Format||[electronic resource] :|
|Pagination||1 online resource (xv, 630p.)|
|Number of Pages||630|
|ISBN 10||3642780369, 3642780342|
|ISBN 10||9783642780363, 9783642780349|
Book Description. This edited volume considers the ways in which multiple stages, phases, or periods in an artistic or design process have served to arrive at the final artifact, with a focus on the meaning and use of the iteration. Vector Associates has been publishing religious and science oriented books since Our first book was Reality Revealed, The Theory of Multidimensional Reality. This philosophy of science book is the first time in history anyone has presented an information theory of existence and applied the theory to many of the hard phenomena in Physics, geophysics and other science fields.
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“Frankfurt School Critical Theory is generally understood as a body of social thought both emerging from and responding to Marxism, and the work of critical theorists is recognized as having made significant contributions to the study of [culture] . Iteration X is one of the five Conventions of the Technocracy and focused on inorganic sciences like physics, artifice, and cybernetics. The Iterators are dedicated to the idea of "Stronger, Faster, Better". Specializing mainly in Forces, Iteration X are perhaps best known for their skill in cybernetics, computing and robotics. However, the Convention's overarching goal is the creation of Faction: Technocratic Union.
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Iteration Theories: The Equational Logic of Iterative Processes (Monographs in Theoretical Computer Science. An EATCS Series) [Stephen L. Bloom, Peter J. Loveland] on *FREE* shipping on qualifying offers.
This monograph contains the results of our joint research over the last ten years on the logic of the fixed point operation. The intended au dience Iteration Theories book of graduate students Cited by: Iteration Theories The Equational Logic of Iterative Processes.
Authors the book provides a detailed investigation of the properties of the fixed point or iteration operation. Iteration plays a fundamental role in the theory of computation: for example, in the theory of automata, in formal language theory, in the study of formal power.
Iteration plays a fundamental role in the theory of computation: for example, in the theory of automata, in formal language theory, in the study of formal power series, in the semantics of flowchart algorithms and programming languages, and in circular data type definitions.
Iteration Theories book This monograph provides a detailed investigation of the fixed point or iteration operation, which plays a fundamental role in the theory of computation. The reader is introduced to universal algebra, and shown that correctness logic is a special case of the equational logic of iteration theories.
Get this from a library. Iteration Theories: the Equational Logic of Iterative Processes. [Stephen L Bloom; Zoltán Ésik] -- Written both for graduate students and research scientists in theoretical computer science and mathematics, this book provides a detailed investigation of the properties of the fixed point or.
I'm only on book 5 but Orthos is the best, hands down. I would read a pre-quel series based on Orthos early life as a hatchling. I just imagine him still having the same dragon attitude, a tiny turtle threatening everything around him and wailing in a high pitched voice "THE DRAGON DESTROYS" while spewing out small burst of black flame.
Pity: functorial iteration theories have a particularly simple axiomatization, and most of examples of iteration theories are reason for excluding functoriality was the view that.
Abstract. Iteration theories are a generalization of iterative theories. In iteration theories, the dagger operation can be applied to all morphisms f: n → n + p, producing a canonical solution of the iteration equation for properties of iteration are captured equationally.
Iteration Theories by Stephen L. Bloom,available at Book Depository with free delivery worldwide. A philosophical theory is a theory that explains or accounts for a general philosophy or specific branch of philosophy.
While any sort of thesis or opinion may be termed a theory, in analytic philosophy it is thought best to reserve the word "theory" for systematic, comprehensive attempts to solve problems. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This monograph contains the results of our joint research over the last ten years on the logic of the fixed point operation.
The intended audience consists of graduate students and research scientists interested in mathematical treatments of semantics. We assume the reader has a good mathematical background, although. The Dictionary of Theories is the first multi-disciplinary reference book to bring together theories, laws, hypotheses, principles, rules, theorems, 'ologies, and 'isms from all subject areas.
With more than 5, entries, the Dictionary of Theories is a unique and handy reference for the inquiring reader who wants to know more about the many theories cited daily in newspapers and magazines Cited by: Find many great new & used options and get the best deals for Monographs in Theoretical Computer Science.
an EATCS: Iteration Theories: The Equational Logic of Iterative Processes by Stephen L. Bloom and Zoltán Ésik (, Paperback) at the best online.
Iteration is the repetition of a process in order to generate a (possibly unbounded) sequence of outcomes. The sequence will approach some end point or end value. Each repetition of the process is a single iteration, and the outcome of each iteration is then the starting point of the next iteration.
Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges.
*ARDO: The Ghost of Jesus is the first iteration of a larger project focused on the evidence of divinity, in this first iteration I analyze the message of Jesus based on the research of other religions and the latest scientific theories without dogmatism, fanaticism or religious bias, you can find my work available on amazon on the link below.*Followers: Iterative Methods for Linear and Nonlinear Equations C.
Kelley North Carolina State University Society for Industrial and Applied Mathematics Philadelphia vi Teacher Professional Learning and Development Best Evidence Synthesis Iteration Acknowledgments It would not have been possible to complete this synthesis without the support of many people.
To acknowledge some runs the risk of omitting others. Our apologies in advance to those we have left out. Motivated by the iteration theories for the Morse type index theories estab-lished by R.
Bott in and by I. Ekeland in s, in recent years the author extended the index theory mentioned above, introduced an index function theory for symplectic matrix paths, and established the iteration theory for the index theory of symplectic paths.
This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems.
It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary. Strain theory, in sociology, proposal that pressure derived from social factors, such as lack of income or lack of quality education, drives individuals to commit crime.
The ideas underlying strain theory were first advanced in the s by American sociologist Robert K. Merton, whose work on the.This paper is a sequel to a previous paper (S.
L. Bloom, C. C. Elgot and J. B. Wright, Solutions of the iteration equation and extensions of the scalar iteration operations, SIAM J. Comput., 9 ( Cited by: For surreal numbers, you don't need to read anything other than "On Numbers and Games" by Conway, and "Winning Ways" by Berkelcamp, Conway, Guy.
I don't know why this is recursion theory it's not very recursion theory heavy. For pure computati.