Decision Procedures

Decision Procedures

Author: Daniel Kroening

Publisher: Springer

Published: 2016-11-22

Total Pages: 369

ISBN-13: 3662504979

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A decision procedure is an algorithm that, given a decision problem, terminates with a correct yes/no answer. Here, the authors focus on theories that are expressive enough to model real problems, but are still decidable. Specifically, the book concentrates on decision procedures for first-order theories that are commonly used in automated verification and reasoning, theorem-proving, compiler optimization and operations research. The techniques described in the book draw from fields such as graph theory and logic, and are routinely used in industry. The authors introduce the basic terminology of satisfiability modulo theories and then, in separate chapters, study decision procedures for each of the following theories: propositional logic; equalities and uninterpreted functions; linear arithmetic; bit vectors; arrays; pointer logic; and quantified formulas.


The Calculus of Computation

The Calculus of Computation

Author: Aaron R. Bradley

Publisher: Springer Science & Business Media

Published: 2007-09-18

Total Pages: 375

ISBN-13: 3540741135

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Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. The textbook also presents a logical approach to engineering correct software. Verification exercises are given to develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. The final chapter outlines courses of further study.


Fuzzy Decision Procedures with Binary Relations

Fuzzy Decision Procedures with Binary Relations

Author: Leonid Kitainik

Publisher: Springer Science & Business Media

Published: 1993-08-31

Total Pages: 288

ISBN-13: 9780792323679

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In decision theory there are basically two appr~hes to the modeling of individual choice: one is based on an absolute representation of preferences leading to a ntDnerical expression of preference intensity. This is utility theory. Another approach is based on binary relations that encode pairwise preference. While the former has mainly blossomed in the Anglo-Saxon academic world, the latter is mostly advocated in continental Europe, including Russia. The advantage of the utility theory approach is that it integrates uncertainty about the state of nature, that may affect the consequences of decision. Then, the problems of choice and ranking from the knowledge of preferences become trivial once the utility function is known. In the case of the relational approach, the model does not explicitly accounts for uncertainty, hence it looks less sophisticated. On the other hand it is more descriptive than normative in the first stand because it takes the pairwise preference pattern expressed by the decision-maker as it is and tries to make the best out of it. Especially the preference relation is not supposed to have any property. The main problem with the utility theory approach is the gap between what decision-makers are and can express, and what the theory would like them to be and to be capable of expressing. With the relational approach this gap does not exist, but the main difficulty is now to build up convincing choice rules and ranking rules that may help the decision process.


Fuzzy Decision Procedures with Binary Relations

Fuzzy Decision Procedures with Binary Relations

Author: Leonid Kitainik

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 272

ISBN-13: 9401119600

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In decision theory there are basically two appr~hes to the modeling of individual choice: one is based on an absolute representation of preferences leading to a ntDnerical expression of preference intensity. This is utility theory. Another approach is based on binary relations that encode pairwise preference. While the former has mainly blossomed in the Anglo-Saxon academic world, the latter is mostly advocated in continental Europe, including Russia. The advantage of the utility theory approach is that it integrates uncertainty about the state of nature, that may affect the consequences of decision. Then, the problems of choice and ranking from the knowledge of preferences become trivial once the utility function is known. In the case of the relational approach, the model does not explicitly accounts for uncertainty, hence it looks less sophisticated. On the other hand it is more descriptive than normative in the first stand because it takes the pairwise preference pattern expressed by the decision-maker as it is and tries to make the best out of it. Especially the preference relation is not supposed to have any property. The main problem with the utility theory approach is the gap between what decision-makers are and can express, and what the theory would like them to be and to be capable of expressing. With the relational approach this gap does not exist, but the main difficulty is now to build up convincing choice rules and ranking rules that may help the decision process.


Computer Aided Verification

Computer Aided Verification

Author: Werner Damm

Publisher: Springer

Published: 2007-08-30

Total Pages: 576

ISBN-13: 354073368X

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This book constitutes the refereed proceedings of the 19th International Conference on Computer Aided Verification. Thirty-three state-of-the-technology papers are presented, together with fourteen tool papers, three invited papers, and four invited tutorials. All the current issues in computer aided verification and model checking—from foundational and methodological issues to the evaluation of major tools and systems—are addressed.


Set Theory for Computing

Set Theory for Computing

Author: Domenico Cantone

Publisher: Springer Science & Business Media

Published: 2001-06-26

Total Pages: 440

ISBN-13: 9780387951973

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"Set Theory for Computing" provides a comprehensive account of set-oriented symbolic manipulation methods suitable for automated reasoning. Its main objective is twofold: 1) to provide a flexible formalization for a variety of set languages, and 2) to clarify the semantics of set constructs firmly established in modern specification languages and in the programming practice. Topics include: semantic unification, decision algorithms, modal logics, declarative programming, tableau-based proof techniques, and theory-based theorem proving. The style of presentation is self-contained, rigorous and accurate. Some familiarity with symbolic logic is helpful but not a requirement. This book is a useful resource for all advanced students, professionals, and researchers in computing sciences, artificial intelligence, automated reasoning, logic, and computational mathematics. It will serve to complement their intuitive understanding of set concepts with the ability to master them by symbolic and logically based algorithmic methods and deductive techniques.


Discrimination and Privacy in the Information Society

Discrimination and Privacy in the Information Society

Author: Bart Custers

Publisher: Springer Science & Business Media

Published: 2012-08-11

Total Pages: 370

ISBN-13: 3642304877

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Vast amounts of data are nowadays collected, stored and processed, in an effort to assist in making a variety of administrative and governmental decisions. These innovative steps considerably improve the speed, effectiveness and quality of decisions. Analyses are increasingly performed by data mining and profiling technologies that statistically and automatically determine patterns and trends. However, when such practices lead to unwanted or unjustified selections, they may result in unacceptable forms of discrimination. Processing vast amounts of data may lead to situations in which data controllers know many of the characteristics, behaviors and whereabouts of people. In some cases, analysts might know more about individuals than these individuals know about themselves. Judging people by their digital identities sheds a different light on our views of privacy and data protection. This book discusses discrimination and privacy issues related to data mining and profiling practices. It provides technological and regulatory solutions, to problems which arise in these innovative contexts. The book explains that common measures for mitigating privacy and discrimination, such as access controls and anonymity, fail to properly resolve privacy and discrimination concerns. Therefore, new solutions, focusing on technology design, transparency and accountability are called for and set forth.


Realistic Decision Theory

Realistic Decision Theory

Author: Paul Weirich

Publisher: Oxford University Press

Published: 2004-09-16

Total Pages: 278

ISBN-13: 0190291117

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Within traditional decision theory, common decision principles -- e.g. the principle to maximize utility -- generally invoke idealization; they govern ideal agents in ideal circumstances. In Realistic Decision Theory, Paul Weirch adds practicality to decision theory by formulating principles applying to nonideal agents in nonideal circumstances, such as real people coping with complex decisions. Bridging the gap between normative demands and psychological resources, Realistic Decision Theory is essential reading for theorists seeking precise normative decision principles that acknowledge the limits and difficulties of human decision-making.


Decision Making in Aesthetic Practice

Decision Making in Aesthetic Practice

Author: Vincent Wong

Publisher: CRC Press

Published: 2021-08-30

Total Pages: 176

ISBN-13: 1000416704

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Decision Making in Aesthetic PracticeThe Right Procedures for the Right Patients Edited by Vincent Wong, BSc, MBChB, Vindoc Aesthetics, London, UK Healthcare professionals in Aesthetic Practice are often faced with a presenting complaint that may seem straightforward to treat but lends itself to more than one treatment option. To achieve and deliver the best natural-looking results, certain basic points about the face must be respected; there must be a good understanding of the specific root cause of each patient’s complaint; and that knowledge must be communicated effectively with the patient. The aim of this book is to help guide a healthcare professional in selecting the best and most appropriate options for any patient. Contents: The Cosmetic Consultation * The Skin * The Forehead * The Periorbital Region * The Nose * The Cheeks* The Perioral Region * The Chin * The Jawline and Neck* The Scalp * Balancing Non-Surgical and Surgical Clinical Approaches