Introduction to Property Testing

This book can be used both as a reference book and a textbook, and includes numerous exercises.

Introduction to Property Testing

An extensive and authoritative introduction to property testing, the study of super-fast algorithms for the structural analysis of large quantities of data in order to determine global properties. This book can be used both as a reference book and a textbook, and includes numerous exercises.

Computational Complexity and Property Testing

Ben-Sasson, E., Harsha, P., Raskhodnikova, S.: Some 3CNF properties are hard
to test. SIAM J. ... Blais, E., Brody, J., Matulef, K.: Property testing lower bounds
via communication complexity. ... Goldreich, O.: Introduction to Property Testing.

Computational Complexity and Property Testing

This volume contains a collection of studies in the areas of complexity theory and property testing. The 21 pieces of scientific work included were conducted at different times, mostly during the last decade. Although most of these works have been cited in the literature, none of them was formally published before. Within complexity theory the topics include constant-depth Boolean circuits, explicit construction of expander graphs, interactive proof systems, monotone formulae for majority, probabilistically checkable proofs (PCPs), pseudorandomness, worst-case to average-case reductions, and zero-knowledge proofs. Within property testing the topics include distribution testing, linearity testing, lower bounds on the query complexity (of property testing), testing graph properties, and tolerant testing. A common theme in this collection is the interplay between randomness and computation.

Property Testing

Introduction. to. Testing. Graph. Properties. Oded Goldreich Department of
Computer Science and Applied ... The aim of this article is to introduce the reader
to the study of testing graph properties, while focusing on the main models and
issues ...

Property Testing

Property Testing is the study of super-fast (randomized) algorithms for approximate decision making. These algorithms are given direct access to items of a huge data set, and determine, whether this data set has some predetermined (global) property or is far from having this property. Remarkably, this approximate decision is made by accessing a small portion of the data set. This state-of-the-art survey presents a collection of extended abstracts and surveys of leading researchers in property testing and related areas; it reflects the program of a mini-workshop on property testing that took place in January 2010 at the Institute for Computer Science (ITCS), Tsinghua University, Beijing, China. The volume contains two editor's introductions, 10 survey papers and 18 extended abstracts.

Algorithmic and Analysis Techniques in Property Testing

Among the techniques surveyed are the following: a) The self-correcting approach, which was mainly applied in the study of property testing of algebraic properties; b) The enforce and test approach, which was applied quite extensively in ...

Algorithmic and Analysis Techniques in Property Testing

Property testing algorithms are ultra"-efficient algorithms that decide whether a given object (e.g., a graph) has a certain property (e.g., bipartiteness), or is significantly different from any object that has the property. To this end property testing algorithms are given the ability to perform (local) queries to the input, though the decisions they need to make usually concern properties with a global nature. In the last two decades, property testing algorithms have been designed for many types of objects and properties, amongst them, graph properties, algebraic properties, geometric properties, and more. In this article we survey results in property testing, where our emphasis is on common analysis and algorithmic techniques. Among the techniques surveyed are the following: a) The self-correcting approach, which was mainly applied in the study of property testing of algebraic properties; b) The enforce and test approach, which was applied quite extensively in the analysis of algorithms for testing graph properties (in the dense-graphs model), as well as in other contexts; c) Szemeredi's Regularity Lemma, which plays a very important role in the analysis of algorithms for testing graph properties (in the dense-graphs model); d) The approach of Testing by implicit learning, which implies efficient testability of membership in many functions classes. e) Algorithmic techniques for testing properties of sparse graphs, which include local search and random walks.

LATIN 2008 Theoretical Informatics

Quantum Property Testing of Group Solvability Yoshifumi Inui1,2 and Fran ̧cois
Le Gall2 1 Department of Computer ... the number of queries used by our
algorithm is polylogarithmic in the size of the set Γ. 1 Introduction In property
testing, the ...

LATIN 2008  Theoretical Informatics

This book constitutes the refereed proceedings of the 8th International Latin American Symposium on Theoretical Informatics, LATIN 2008, held in Búzios, Brazil, in April 2008. The 66 revised full papers presented together with the extended abstract of 1 invited paper were carefully reviewed and selected from 242 submissions. The papers address a veriety of topics in theoretical computer science with a certain focus on algorithms, automata theory and formal languages, coding theory and data compression, algorithmic graph theory and combinatorics, complexity theory, computational algebra, computational biology, computational geometry, computational number theory, cryptography, theoretical aspects of databases and information retrieval, data structures, networks, logic in computer science, machine learning, mathematical programming, parallel and distributed computing, pattern matching, quantum computing and random structures.

Property Testing

algorithm for a class of functions F then we can use it as a subroutine to test the
property: “does the function belong to F” (see ... from those typically studied in the
mathematical statistics literature, the work on testing properties 4 Introduction III.

Property Testing

This survey focuses on results for testing properties of functions that are of interest to the learning theory community.

Automata Languages and Programming

Testing Forest-Isomorphism in the Adjacency List Model Mitsuru Kusumoto1,σ
and Yuichi Yoshida1,2,σσ 1 Preferred ... 1 Introduction In property testing, we
want to design an efficient algorithm that distinguishes the case in which the ...

Automata  Languages  and Programming

This two-volume set of LNCS 8572 and LNCS 8573 constitutes the refereed proceedings of the 41st International Colloquium on Automata, Languages and Programming, ICALP 2014, held in Copenhagen, Denmark, in July 2014. The total of 136 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 484 submissions. The papers are organized in three tracks focussing on Algorithms, Complexity, and Games, Logic, Semantics, Automata, and Theory of Programming, Foundations of Networked Computation.

Approximation Randomization and Combinatorial Optimization Algorithms and Techniques

This is done by providing a new analysis to previously known connectivity testers
(from “standard”, uniform distribution property-testing) and by introducing some
new testers. 1 Introduction The classical notion of decision problems requires an
 ...

Approximation  Randomization and Combinatorial Optimization  Algorithms and Techniques

This book constitutes the joint refereed proceedings of the 7th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2004 and the 8th International Workshop on Randomization and Computation, RANDOM 2004, held in Cambridge, MA, USA in August 2004. The 37 revised full papers presented were carefully reviewed and selected from 87 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, approximation classes, online problems, graph algorithms, cuts, geometric computations, network design and routing, packing and covering, scheduling, game theory, design and analysis of randomised algorithms, randomized complexity theory, pseudorandomness, derandomization, probabilistic proof systems, error-correcting codes, and other applications of approximation and randomness.

Introduction to Engineering Materials

16 Non-Destructive Testing and Inspection When engineering components are
designed, it is assumed that the material possesses a certain set of mechanical
properties. But, in actual practice, when the component is used in structure or ...

Introduction to Engineering Materials

A basic text meeting requirements of core courses in this area. Apart from covering all necessary topics, the book gives procedures, standards and specifications for materials and their testing, as per conditions and practices prevalent in the country. Trade names, compositions, properties and applications of engineering materials commonly used in industry have been given in the form of tables. A large number of schematic diagrams, engineering curves, tables and microstructures have been included to make the approach of the subject more illustrative, informative and demonstrative.

Automata Languages and Programming

Monotonicity testing is one of the central problems studied in the field of property
testing. ... 1 Introduction The classical notion of decision problems requires an
algorithm to distinguish objects having some property P from those objects which
 ...

Automata  Languages and Programming

This book constitutes the refereed proceedings of the 31st International Colloquium on Automata, Languages and Programming, ICALP 2004, held in Turku, Finland, in July 2004. The 97 revised full papers presented together with abstracts of 6 invited talks were carefully reviewed and selected from 379 submissions. The papers address all current issues in theoretical computer science including algorithms, automata, complexity, cryptography, database logics, program semantics, and programming theory.