Titlebook: Logic and Complexity; Richard Lassaigne,Michel Rougemont Book 2004 Springer-Verlag London 2004 Computer.SQL.algorithm.algorithms.complexit

B-cell

Recursion and decidabilityrst considered and we prove that it coincides with the class of functions computable by a Turing machine. Other characterizations are given: . and functions represented by a term of the .. What is fundamental is that all these different definitions are equivalent, as they characterize the same class

垫子

事与愿违

Complexity: time and space difficult than another one and to understand why certain problems are inherently difficult. Two classical measures are introduced: ., which measures the number of elementary steps necessary in an algorithm and ., which measures the size of the memory used. These two measures are asymptotic function

Collected

First-order definabilityheory which can be used to decide if a given property is defined by a first-order formula. The aim of this chapter is to show . is a useful framework for expressing .. Classical structures are infinite, but we can also consider classes of finite structures such as graphs or relational structures. In

创新

ineffectual

Models of parallel computationspter, a polynomial number of transitions are followed per unit of time. We consider two models: boolean circuits and the . (Parallel Random Access Machine), although there are many other possible models. Both circuits and PRAM assume synchronized elements which realize concurrent operations. Other m

Vo2-Max

Definability of optimization and counting problemsn problem associated with them is of the form: Given a threshold value ., decide if there is a solution of size greater than . in the case of a maximization problem and smaller than . in the case of a minimization problem.

Priapism

Richard Lassaigne,Michel RougemontIncludes exercises at end of each chapter.Authors website will be maintained for corrections, exercises, remarks and updates.Describes a logical approach to complexity theory, for computer scientists.

法律

Gobble

978-1-4471-1052-1Springer-Verlag London 2004