undecidable problem computer science definition
What is a decidable problem in computer science?
(definition) Definition: A decision problem that can be solved by an algorithm that halts on all inputs in a finite number of steps.
The associated language is called a decidable language.
Also known as totally decidable problem, algorithmically solvable, recursively solvable.Undecidable language
One classic example of an undecidable language is the Halting problem, which asks whether a given Turing machine will halt onto a given input.
Another example is the Post Correspondence Problem, which asks whether a list of pairs of strings can be arranged in a certain way.
What is an undecidable statement?
An undecidable statement might be true or might be false; we don't know which.
A self-contradictory statement can be neither true nor false.
Provably True: For example in this problem, "Zoey is a Truth-teller." Provably False: For example, "Zoey is a False-teller."
What is the difference between an unsolvable problem and an undecidable problem?
An unsolvable problem is one for which no algorithm can ever be written to find the solution.
An undecidable problem is one for which no algorithm can ever be written that will always give a correct true/false decision for every input value.
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Undecidable problems concerning densities of languages
12 août 2015 Undecidable problems concerning densities of languages. Jakub Kozik. Jagiellonian University Faculty of Mathematics and Computer Science |
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Decidability and Undecidability in Dynamical Systems
5 nov. 2009 The canonical problem that is defined for dynamical systems are reachability ... interest in mathematics and computer science and also give ... |
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How to Teach the Undecidability of Malware Detection Problem and
30 avr. 2020 other hand the undecidability of some problems is an important notion in Computer Science : an undecidable problem is a problem for which ... |
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UNDECIDABLE FLUID PARTICLE PATHS AND 3D FLUID
11 mai 2021 any problem whose solution can be verified by an algorithm polynomial in ... The Euler equations can be defined in higher dimensions [2] ... |
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The domino problem is undecidable on surface groups
17 juin 2019 A hierarchical strongly aperiodic set of tiles in the hyperbolic plane. Theoretical Computer Science 411(7):1085 – 1093 |
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Theory of Computer Science - Post Correspondence Problem
4 mai 2020 How to prove undecidability? ? statements on the computed function of a TM/an algorithm ... directly with the definition of undecidability. |
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Undecidable Problems for Probabilistic Network Programming
Cornell University Department of Computer Science |
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A Coq Library of Undecidable Problems
21 sept. 2020 Mathematical Structures in Computer Science 28 5 (2018) |
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Theory of Computer Science - Rices Theorem and Other
11 mai 2016 Theory of Computer Science ... Theorem (Undecidability of General Halting Problem) ... Definition (Halting Problem on the Empty Tape). |
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Undecidable Problems About Timed Automata
9 déc. 2007 S. tripakis showed in [Tri04] that there is no algorithm which given a timed au- ... ducing the universality problem |
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Important Undecidable Problems Menu Program Halting - InterCom
“Solving” Undecidable Problems • Undecidable means there is no program that 1 Always gives the correct answer, and 2 |
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Introduction to Undecidability
Define decidable problem ▷ Define undecidable problem ▷ Prove that a decision problem is decidable by giving an algorithm to solve it The halting problem |
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Lecture Notes On THEORY OF COMPUTATION MODULE - BPUT
one of the deepest results in computer science: the undecidability of the halting by computational means to through computational means those problems from |
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Frontier between decidability and undecidability: a survey - CORE
After recalling the definition of decidability and universality, we first give a A problem is undecidable if it is not decidable, that is if there is no algorithm for |
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What Makes Some Language Theory Problems Undecidable*
Computer Science Department, Cornell University, Ithaca, New York 14850 a well defined structuring of the undecidable problems and permits a systematic |
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Undecidable - Princeton University Computer Science
Decidable An algorithm exists to determine truth of every statement Definition A yes-no problem is undecidable if no Turing machine exists to solve it |
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Complexity Theory - Lecture 3: Undecidability - TU Dresden
17 oct 2017 · Definition 3 1: A TM M computes a partial function fM : Σ∗ → Σ∗ as fol- lows We have fM(w) A fundamental insight of computer science and mathematics is that there are How do we find concrete undecidable problems? |
