Rating: 0 out of 5 stars
0 ratings
Ebook443 pages7 hours
Theories of Computational Complexity
By C. Calude
Rating: 0 out of 5 stars
()
About this ebook
This volume presents four machine-independent theories of computational complexity, which have been chosen for their intrinsic importance and practical relevance. The book includes a wealth of results - classical, recent, and others which have not been published before.
In developing the mathematics underlying the size, dynamic and structural complexity measures, various connections with mathematical logic, constructive topology, probability and programming theories are established. The facts are presented in detail. Extensive examples are provided, to help clarify notions and constructions. The lists of exercises and problems include routine exercises, interesting results, as well as some open problems.
In developing the mathematics underlying the size, dynamic and structural complexity measures, various connections with mathematical logic, constructive topology, probability and programming theories are established. The facts are presented in detail. Extensive examples are provided, to help clarify notions and constructions. The lists of exercises and problems include routine exercises, interesting results, as well as some open problems.
Related to Theories of Computational Complexity
Titles in the series (43)
Theory and Practice of Combinatorics Studies in Integer Programming Rating: 0 out of 5 stars0 ratingsAdvances in Graph Theory Rating: 0 out of 5 stars0 ratingsGraph Theory Rating: 5 out of 5 stars5/5Algorithmic Aspects of Combinatorics Rating: 0 out of 5 stars0 ratingsStudies on Graphs and Discrete Programming Rating: 0 out of 5 stars0 ratingsCombinatorics 79. Part II Rating: 0 out of 5 stars0 ratingsCombinatorial Mathematics, Optimal Designs, and Their Applications Rating: 0 out of 5 stars0 ratingsCombinatorics 79. Part I Rating: 0 out of 5 stars0 ratingsOrders: Description and Roles Rating: 0 out of 5 stars0 ratingsTopics on Steiner Systems Rating: 1 out of 5 stars1/5Linear and Combinatorial Optimization in Ordered Algebraic Structures Rating: 0 out of 5 stars0 ratingsCombinatorial and Geometric Structures and Their Applications Rating: 0 out of 5 stars0 ratingsAlgebraic and Geometric Combinatorics Rating: 0 out of 5 stars0 ratingsAlgebraic and Combinatorial Methods in Operations Research Rating: 0 out of 5 stars0 ratingsCombinatorial Mathematics Rating: 0 out of 5 stars0 ratingsCombinatorics '81: In Honour of Beniamino Segre Rating: 0 out of 5 stars0 ratingsGraph Theory and Applications Rating: 0 out of 5 stars0 ratingsConvexity and Graph Theory Rating: 0 out of 5 stars0 ratingsAlgorithms in Combinatorial Design Theory Rating: 0 out of 5 stars0 ratingsAnalysis and Design of Algorithms for Combinatorial Problems Rating: 0 out of 5 stars0 ratingsTopics in the Theory of Computation Rating: 0 out of 5 stars0 ratingsPlanar Graphs: Theory and Algorithms Rating: 4 out of 5 stars4/5Topics on Perfect Graphs Rating: 0 out of 5 stars0 ratingsRecent Results in the Theory of Graph Spectra Rating: 0 out of 5 stars0 ratingsTheories of Computational Complexity Rating: 0 out of 5 stars0 ratingsCycles in Graphs Rating: 0 out of 5 stars0 ratingsMatching Theory Rating: 0 out of 5 stars0 ratingsGraph Theory and Combinatorics 1988 Rating: 0 out of 5 stars0 ratingsCombinatorial Designs: A Tribute to Haim Hanani Rating: 0 out of 5 stars0 ratings
Related ebooks
Computability, Complexity, Logic Rating: 0 out of 5 stars0 ratingsAutomated Theorem Proving: A Logical Basis Rating: 0 out of 5 stars0 ratingsRecursive Functionals Rating: 0 out of 5 stars0 ratingsEssential Computational Modeling in Chemistry Rating: 0 out of 5 stars0 ratingsFinite Automata: Behavior and Synthesis Rating: 5 out of 5 stars5/5Introduction to the Theory of Infiniteseimals Rating: 0 out of 5 stars0 ratingsThe Great Formal Machinery Works: Theories of Deduction and Computation at the Origins of the Digital Age Rating: 0 out of 5 stars0 ratingsCombinatorial and Geometric Structures and Their Applications Rating: 0 out of 5 stars0 ratingsAdaptive, Learning, and Pattern Recognition Systems; theory and applications Rating: 0 out of 5 stars0 ratingsMathematical Methods of Statistics (PMS-9), Volume 9 Rating: 3 out of 5 stars3/5In the Wake of Chaos: Unpredictable Order in Dynamical Systems Rating: 4 out of 5 stars4/5Quo Vadis, Graph Theory?: A Source Book for Challenges and Directions Rating: 0 out of 5 stars0 ratingsModel Theory Rating: 0 out of 5 stars0 ratingsSparse Matrix Computations Rating: 0 out of 5 stars0 ratingsAlgorithms in Combinatorial Design Theory Rating: 0 out of 5 stars0 ratingsFormal Language Theory: Perspectives and Open Problems Rating: 3 out of 5 stars3/5Theoretical Studies in Computer Science Rating: 0 out of 5 stars0 ratingsComputers and Languages: Theory and Practice Rating: 0 out of 5 stars0 ratingsComputability, Complexity, and Languages: Fundamentals of Theoretical Computer Science Rating: 4 out of 5 stars4/5Analytic Computational Complexity Rating: 0 out of 5 stars0 ratingsThe Algebraic Theory of Switching Circuits Rating: 0 out of 5 stars0 ratingsSpectral Radius of Graphs Rating: 0 out of 5 stars0 ratingsA Mathematical Kaleidoscope: Applications in Industry, Business and Science Rating: 0 out of 5 stars0 ratingsLogic, Automata, and Algorithms Rating: 0 out of 5 stars0 ratingsHandbook of Neural Computing Applications Rating: 5 out of 5 stars5/5The Origins of Infinitesimal Calculus Rating: 5 out of 5 stars5/5Algorithms and Complexity Rating: 5 out of 5 stars5/5Algorithms, Graphs, and Computers Rating: 0 out of 5 stars0 ratings
Mathematics For You
Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Calculus For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Geometry For Dummies Rating: 5 out of 5 stars5/5Basic Math Notes Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Elements of Euclid for the Use of Schools and Colleges (Illustrated) Rating: 0 out of 5 stars0 ratingsThe Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsRelativity: The special and the general theory Rating: 5 out of 5 stars5/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5GED® Math Test Tutor, 2nd Edition Rating: 0 out of 5 stars0 ratingsAlgebra I For Dummies Rating: 4 out of 5 stars4/5
Related podcast episodes
#54 Gary Marcus and Luis Lamb - Neurosymbolic models 0% found this document usefulDynamical Sampling: Modellansatz 173 0% found this document usefulDynamical Sampling 0% found this document usefulQuantum Counterculture 0% found this document usefulThe Structure of Scientific Revolutions - Thomas Kuhn 0% found this document useful1. Improvisation 2. Innovation 3. Imitation 0% found this document usefulMeasuring quantum states with light | fAQ podcast - season 2 ep. 6 0% found this document useful108 - Nadja Oertelt on Humanizing The Stories of Science 0% found this document useful
Related articles
Visionary Mathematician Vladimir Voevodsky Dies at 51 QuantaArticle
Visionary Mathematician Vladimir Voevodsky Dies at 51
Oct 11, 2017
3 min readChaos Makes the Multiverse Unnecessary NautilusArticle
Chaos Makes the Multiverse Unnecessary
Nov 29, 2018
Scientists look around the universe and see amazing structure. There are objects and processes of fantastic complexity. Every action in our universe follows exact laws of nature that are perfectly expressed in a mathematical language. These laws of n
17 min readGraced With Knowledge, Mathematicians Seek to Understand QuantaArticle
Graced With Knowledge, Mathematicians Seek to Understand
Apr 8, 2020
5 min readAre Neural Networks About to Reinvent Physics? NautilusArticle
Are Neural Networks About to Reinvent Physics?
Nov 21, 2019
Can AI teach itself the laws of physics? Will classical computers soon be replaced by deep neural networks? Sure looks like it, if you’ve been following the news, which lately has been filled with headlines like, “A neural net solves the three-body p
9 min readAn Ancient Geometry Problem Falls to New Mathematical Techniques NautilusArticle
An Ancient Geometry Problem Falls to New Mathematical Techniques
Feb 9, 2022
4 min readBooks BBC Sky at NightArticle
Books
Jan 20, 2022
Dr Sten Odenwald Arcturus £14.99 • HB Discovering the Universe is designed to be a book for beginners, providing an introduction to different aspects of the Universe via eight chapters that include ‘How to build a Universe’, ‘Stellar evolution’ and ‘
4 min readThe Math That Takes Newton Into the Quantum World NautilusArticle
The Math That Takes Newton Into the Quantum World
Feb 28, 2019
In my 50s, too old to become a real expert, I have finally fallen in love with algebraic geometry. As the name suggests, this is the study of geometry using algebra. Around 1637, René Descartes laid the groundwork for this subject by taking a plane,
9 min readThe Twin Prime Hero: Rags, riches, and fame in mathematics. NautilusArticle
The Twin Prime Hero: Rags, riches, and fame in mathematics.
Dec 29, 2016
Yitang “Tom” Zhang spent the seven years following the completion of his Ph.D. in mathematics floating between Kentucky and Queens, working for a chain of Subway restaurants, and doing odd accounting work. Now he is on a lecture tour that includes st
8 min readThe Puzzle Of Quantum Reality NPRArticle
The Puzzle Of Quantum Reality
Mar 20, 2018
5 min readAn Overdose of Copernicus? Our Universe Might Yet Be Special NautilusArticle
An Overdose of Copernicus? Our Universe Might Yet Be Special
May 23, 2013
4 min readOh, What A Tangled Cosmos YouTube Weaves PC Pro MagazineArticle
Oh, What A Tangled Cosmos YouTube Weaves
Apr 4, 2024
3 min readWhy Physics Is Not a Discipline: Physics is not just what happens in the Department of Physics. NautilusArticle
Why Physics Is Not a Discipline: Physics is not just what happens in the Department of Physics.
Apr 21, 2016
Have you heard the one about the biologist, the physicist, and the mathematician? They’re all sitting in a cafe watching people come and go from a house across the street. Two people enter, and then some time later, three emerge. The physicist says,
12 min readImaginary Numbers May Be Essential for Describing Reality QuantaArticle
Imaginary Numbers May Be Essential for Describing Reality
Mar 3, 2021
4 min readHow to Build a Search Engine for Mathematics: The Surprising Power of Neil Sloane’s Encyclopedia of Integer Sequences.: The surprising power of Neil Sloane’s Encyclopedia of Integer Sequences. NautilusArticle
How to Build a Search Engine for Mathematics: The Surprising Power of Neil Sloane’s Encyclopedia of Integer Sequences.: The surprising power of Neil Sloane’s Encyclopedia of Integer Sequences.
Oct 22, 2015
On the average summer Saturday, the mathematician Neil Sloane woke up to a crisis. “There are always crises,” he said— albeit crises of the teapot tempest variety. One Saturday over breakfast, he faced an inbox message titled “edits from outer space.
10 min readThe Universe Began With a Big Melt, Not a Big Bang NautilusArticle
The Universe Began With a Big Melt, Not a Big Bang
Oct 5, 2017
There are two tantalizing mysteries about our universe, one dealing with its final fate and the other with its beginning, that have intrigued cosmologists for decades. The community has always believed these to be independent problems—but what if the
10 min readComputer Science Proof Unveils Unexpected Form of Entanglement NautilusArticle
Computer Science Proof Unveils Unexpected Form of Entanglement
Aug 3, 2022
5 min readThe End of Reductionism Could Be Nigh. Or Not. NautilusArticle
The End of Reductionism Could Be Nigh. Or Not.
Jun 18, 2021
5 min readWhen Beauty Gets In The Way Of Science NautilusArticle
When Beauty Gets In The Way Of Science
Apr 18, 2019
The biggest news in particle physics is no news. In March, one of the most important conferences in the field, Rencontres de Moriond, took place. It is an annual meeting at which experimental collaborations present preliminary results. But the recent
7 min readWhy Physics Can’t Tell Us What Life Is NautilusArticle
Why Physics Can’t Tell Us What Life Is
Oct 21, 2020
There is just something obviously reasonable about the following notion: If all life is built from atoms that obey precise equations we know—which seems to be true—then the existence of life might just be some downstream consequence of these laws tha
11 min readQuantum Mechanics 101 All About SpaceArticle
Quantum Mechanics 101
Dec 5, 2019
7 min readSmaller Is Better: Why Finite Number Systems Pack More Punch QuantaArticle
Smaller Is Better: Why Finite Number Systems Pack More Punch
Feb 11, 2019
4 min readHeavyweight Particle Cosmos MagazineArticle
Heavyweight Particle
Jun 12, 2022
13 min readThe Psychological Benefits of Commuting to Work The AtlanticArticle
The Psychological Benefits of Commuting to Work
Jun 9, 2021
7 min readNobel Prize Winner James Peebles “Why I Reinvented Space And Time” All About SpaceArticle
Nobel Prize Winner James Peebles “Why I Reinvented Space And Time”
Oct 8, 2020
7 min readBook Reviews Horoscope GuideArticle
Book Reviews
Jan 2, 2020
3 min readJohn Conway Solved Mathematical Problems With His Bare Hands QuantaArticle
John Conway Solved Mathematical Problems With His Bare Hands
Apr 20, 2020
5 min readThe Quest for Unity Is Not Something Physics Is Cut Out to Do NautilusArticle
The Quest for Unity Is Not Something Physics Is Cut Out to Do
Apr 2, 2017
5 min readBooks BBC Sky at NightArticle
Books
Oct 19, 2023
Shohini Ghose MIT Press £27 • HB How many women scientists can you name? A 2017 US study showed that less than one per cent of people surveyed could name a living woman scientist. Have you sat in a lecture and been greeted with ‘good morning, gentlem
5 min readHow Aristotle Created the Computer The AtlanticArticle
How Aristotle Created the Computer
Mar 20, 2017
14 min readHow Randomness Can Make Math Easier QuantaArticle
How Randomness Can Make Math Easier
Jul 9, 2019
2 min read
Reviews for Theories of Computational Complexity
Rating: 0 out of 5 stars
0 ratings
0 ratings0 reviews
Book preview
Theories of Computational Complexity - C. Calude
Enjoying the preview?
Page 1 of 1