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Computability and Logic
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by
George Boolos
This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book has become a classic because of its accessibility to students without a ...
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Computability and Logic
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Richard C Jeffrey, George S Boolos
A text for a second course in logic for graduate and advanced undergraduate students. This third edition has been corrected and contains thoroughly revised versions of the chapters on Ramsey and provability, with new exercises provided for three other chapters. There are also two new chapters dealing with undecidable sentences and on the non ...
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Computability & unsolvability.
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by
Martin Davis
Classic graduate-level introduction to theory of computability. Discusses general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, more.
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Recursive Methods in Economic Dynamics
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Nancy L Stokey, Edward C Prescott, Robert E Lucas, Jr.
Develops the basic methods of recursive analysis, covers stochastic dynamic programming, and presents two fundamental theorems of welfare economics.
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An Introduction to the General Theory of Algorithms
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Michael Machtey
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A Recursive Introduction to the Theory of Computation
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by
Carl Smith
The aim of this textbook is to present an account of the theory of computation. After introducing the concept of a model of computation and presenting various examples, the author explores the limitations of effective computation via basic recursion theory. Self-reference and other methods are introduced as fundamental and basic tools for ...
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Degrees of Unsolvability
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Gerald Sacks
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Theory of recursive functions and effective computability
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by
Hartley Rogers
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The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions
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by
Martin Davis (Editor)
An anthology of fundamental papers on undecidability and unsolvability, this classic reference opens with Godel's landmark 1931 paper demonstrating that systems of logic cannot admit proofs of all true assertions of arithmetic. Subsequent papers by Godel, Church, Turing, and Post single out the class of recursive functions as computable by finite ...
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Super-Recursive Algorithms
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Mark Burgin
New discoveries about algorithms are leading scientists beyond the Church-Turing Thesis, which governs the 'algorithmic universe' and asserts the conventionality of recursive algorithms. A new paradigm for computation, the super-recursive algorithm, offers promising prospects for algorithms of much greater computing power and efficiency. "Super ...
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Pipelined Lattice and Wave Digital Recursive Filters
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Jin-Gyun Chung, Chung Jin-Gyun Chung, Keshab K Parhi
"Pipelined Lattice and Wave Digital Recursive Filters" uses look-ahead transformation and constrained filter design approaches. It is also shown that pipelining often reduces the roundoff noise in a digital filter. The pipelined recursive lattice and wave digital filters presented are well suited where increasing speed and reducing area or power ...
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Theory of formal systems.
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by
Raymond M. Smullyan
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Adaptive Iir Filtering in Signal Processing and Control
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by
Phillip A Regalia, Regalia Regalia
Integrates rational approximation with adaptive filtering, providing viable, numerically reliable procedures for creating adaptive infinite impulse response (IIR) filters. The choice of filter structure to adapt, algorithm design and the approximation properties for each type of algorithm are also addressed. This work recasts the theory of ...
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Games and Full Abstraction for a Functional Metalanguage with Recursive Types
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by
Guy McCusker
This work develops a theory of game semantics, a setting for modelling and reasoning about sequential programming languages, suitable for interpreting higher-order functional languages with a rich type structure. It applies it to construct a fully abstract model of the metalanguage FPC.
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Theory of Computation
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by
Walter S Brainerd
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Calculi of Lambda Conversion
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by
Alonzo Church
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Solutions Manual for "Recursive Methods in Economic Dynamics"
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by
Claudio Irigoyen, Esteban Rossi-Hansberg, Mark L J Wright
This solutions manual is a valuable companion volume to the classic textbook "Recursive Methods in Economic Dynamics" by Nancy L. Stokey and Robert E. Lucas. The exercises in the Stokey and Lucas book are integral to the text, and thus, a reader cannot fully appreciate the text without understanding the results developed in the exercises. This ...
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Reflexive Structures: An Introduction to Computability Theory
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by
Luis E Sanchis
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Synthesis of Digital Designs from Recursive Equations
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by
Steven D Johnson
This book develops a new approach to digital circuit design that is founded on the tenets of applicative programming style and which sheds light on functional programming disciplines by exploring their use in a novel realm of implementation.
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Recursive Function Theory and Logic
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by
Ann Yasuhara
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Stochastic Approximation and Recursive Algorithms and Applications
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by
George G Yin, Harold J Kushner
The book presents a thorough development of the modern theory of stochastic approximation or recursive stochastic algorithms for both constrained and unconstrained problems. There is a complete development of both probability one and weak convergence methods for very general noise processes. The proofs of convergence use the ODE method, the most ...
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Introduction to the Theory of Computation
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Erwin Engeler
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Recursion Theory, Its Generalisations and Applications
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by
F R Drake, S S Wainer (Editor), N J Hitchin (Editor)
Recursion theory - now a well-established branch of pure mathematics, having grown rapidly over the last 35 years - deals with the general (abstract) theory of those operations which we conceive as being 'computable' by idealized machines. The theory grew out of, and is usually still regarded, as a branch of mathematical logic. This book is a ...
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Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Godels Theorems
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by
Roman Murawski
"Recursive Functions and Metamathematics" deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Godel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. This ...
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Recursive functions in computer theory
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by
Rózsa Péter
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