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Limits to Computation - Coggle Diagram
Limits to Computation
Reductions (17.1):
Discusses the concept of reductions in computational theory.
Reductions are transformations that convert one problem into another.
Hard Problems (17.2):
Explores the notion of hard problems in computation.
Identifies problems that are difficult to solve efficiently.
The Theory of NP-Completeness (17.2.1):
Introduces NP-completeness as a class of problems with certain properties.
Highlights the significance of NP-complete problems in computational theory.
NP-Completeness Proofs (17.2.2):
Describes the process of proving a problem's NP-completeness.
Shows how reductions can be employed to establish the NP-completeness of a problem.
Coping with NP-Complete Problems (17.2.3):
Explores strategies for dealing with NP-complete problems.
Discusses approximation algorithms and heuristics as practical approaches.
Impossible Problems (17.3):
Examines problems that are theoretically impossible to solve algorithmically.
Uncountability (17.3.1):
Discusses the concept of uncountability in the context of problems beyond the scope of computation.
The Halting Problem Is Unsolvable (17.3.2):
Presents the famous result that the Halting Problem is undecidable.
Highlights the limits of what can be algorithmically determined in computation.