Bounded complexity theory

  • Computational complexity theory books

    Complexity measures
    A decision problem A can be solved in time f(n) if there exists a Turing machine operating in time f(n) that solves the problem.
    Since complexity theory is interested in classifying problems based on their difficulty, one defines sets of problems based on some criteria..

  • Computational complexity theory books

    The relationship between BPP and NP is unknown: it is not known whether BPP is a subset of NP, NP is a subset of BPP or neither.
    If NP is contained in BPP, which is considered unlikely since it would imply practical solutions for NP-complete problems, then NP = RP and PH ⊆ BPP..

  • Why is BPP not in NP?

    The relationship between BPP and NP is unknown: it is not known whether BPP is a subset of NP, NP is a subset of BPP or neither.
    If NP is contained in BPP, which is considered unlikely since it would imply practical solutions for NP-complete problems, then NP = RP and PH ⊆ BPP..

Analyzing a particular algorithm falls under the field of analysis of algorithms. To show an upper bound T(n) on the time complexity of a problem, one needs to  Machine models and Complexity classesImportant open problems
Many important complexity classes can be defined by bounding the time or space used by the algorithm.Machine models and Complexity classesImportant open problems
This book presents an up-to-date, unified treatment of research in bounded arith- metic and complexity of propositional logic with emphasis on independence 
In computer science, a linear bounded automaton is a restricted form of Turing machine.

Categories

Complexity theory lower bound algorithm
Complexity theory companion
Complexity theory components
Complexity theory combinatorics
Complexity theory constraints
Complexity theory complication
Complexity theory computer science definition
Complexity theory cognitive psychology
What does complexity theory do
How complexity theory
Local complexity theory
Low complexity theory definition
Logspace complexity theory
Morin complexity theory
Mooc complexity theory
Mobility complexity theory
Complexity theory and nonlinear dynamic systems
Complexity theory and the notion of resilience in public policy
Complexity theory positive deviance
Complexity theory polynomial