(**Undecidable Undecidable In computability theory, an undecidable problem is A computational question that requires a yes/no answer, but no computer program can always give the correct answer; that is, any possible program will sometimes give the wrong answer or run forever without giving any answer. https://en.wikipedia.org › Wiki › List_of_undecidable_problems**

## List of undetermined problems – Wikipedia

Just means not computable in the context of a decision problem whose answer (or output) is either « true » or « false »). A non-computable problem is one where there is no algorithm available to solve it.

## What is a non-computable problem?

In computability theory, undecidable problems are **Types of computational questions that require a yes/no answer**but no computer program can always give the correct answer; that is, any possible program will sometimes give the wrong answer or run forever without giving any answer.

## What is an uncomputable number?

The Chaitin constant is an example (actually a series of examples) of an uncomputable number.it **represents the probability that a randomly generated program (in some model) will stop**. It can be calculated approximately, but (provably) no algorithm can calculate it with arbitrary precision.

## Which problem is computable?

**a math problem** It is computable if in principle it can be solved by a computing device. Some common synonyms for « computable » are « solvable », « decidable » and « recursive ». Hilbert believed that all mathematical problems were solvable, but in the 1930s Gödel, Turing and Church showed that this was not the case.

## Is the empty set computable?

The empty set is **computable**. The entire set of natural numbers is computable. Every natural number (as defined in standard set theory) is computable; that is, the set of natural numbers less than a given natural number is computable.

## About uncomputable numbers

**29 related questions found**

## Is 0 the empty set?

One of the most important sets in mathematics is the empty set 0.This **Collection contains no elements**. When a collection is defined by a feature attribute, there may not be an element with that attribute.

## Does the empty set belong to the empty set?

The empty set can be confusing because it’s a degenerate case. In fact, it is defined as an exception: every collection is inhabited, except the empty collection. **nothing belongs to the empty set**but the empty set itself is something.

## Can the unsolvable problem be solved?

Definition: Decision problems are questions that require a yes or no answer. Definition: Decision problems that do not accept any algorithmic solution are called undecidable problems. **No computer or computer program of any kind can solve any unsolvable problem**…which means we can never find an algorithm to solve the problem.

## Are all decision problems computable?

If this decision problem is decidable, then the function that produces the answer to the function problem is computable.Every decision problem can be **be converted** Enter the functional problem of computing the eigenfunction of the set relevant to the decision problem.

## How do you prove that a problem is undecidable?

To get a correct proof requires a convincing argument that the TM ultimately always accepts or rejects any input. How do you prove that a language is undecidable?To prove that a language is undecidable, one needs to **show that no Turing machine can decide** language. This is hard: one needs to reason about all possible TMs.

## What is the highest number that can be calculated?

Ralph Loader’s program, which won first place in the Bignum Bakeoff competition, whose goal is to write a C program (in **512 characters** or less) to produce the largest possible output on a theoretical machine with infinite memory. It is one of the largest computable numbers ever recorded.

## Are there uncomputable numbers?

**Not only are there incalculable numbers**, but they are actually much richer than computable numbers. Many, many real numbers are just infinite sequences of seemingly random numbers, with no patterns or special properties. …as an example of this, consider a number with 0 parts before the decimal point.

## Are Rayo’s numbers the biggest?

Rayo’s number is **Naming of large numbers** Claimed to be the largest (named) number after Mexican Associate Professor Agustín Rayo (b. 1973).

## What is an example of an undecidable problem?

Examples – these are some important undecidable problems: **Does CFG generate all strings**? Since CFG generates infinite strings, we can never reach the last string, so it is undecidable. …since we cannot determine all strings for any CFG, we can predict whether two CFGs are equal.

## What is an undecidable problem?

There are some problems that a computer will never be able to solve, even the most powerful infinite-time computer in the world: undecidable problems.An undecidable question is one that should be given a « yes » or « no » answer, but **There is no algorithm that can answer all inputs correctly**.

## Which problems are decidable?

definition: **Decision problems that can be solved by an algorithm that stops all inputs in finite steps**. The associated language is called a decidable language. Also known as completely decidable problems, algorithmically solvable, recursively solvable.

## What is an example decision problem?

An example of a decision problem is **Check if a given natural number is prime**. Another question is « Given two numbers x and y, does x divide y? ». The answer is « yes » or « no » depending on the values of x and y. …A decision problem that can be solved by an algorithm is called a decidable problem.

## What are the two types of decision problems?

Strategy-oriented decision questions typically address « how » to implement the planned change and focus on making the decision. What are the basic characteristics of these two types of decision problems? **Origins, decision problems, research questions, uses, goals and their subgroups and logistics**.

## What is the solution to the decision problem?

Decision problems only make sense when the concept of an efficient computational process is properly formalized, as in algorithm theory.Positive solutions to decision problems include **give an algorithm to solve it, the problem** Then it is said to be decidable or solvable.

## What makes a problem unsolvable?

An unsolvable problem is **An algorithm for which no algorithm can be written to find a solution**. An undecidable problem is one where no algorithm can ever be written to always give the correct true/false decision for each input value.

## Can humans solve the downtime problem?

**Humans can’t solve downtime** Even with the limitations of what computers can do, imagine trying to analyze a Turing machine larger than you’ve ever read in your lifetime. …in each case, a computer can solve the downtime problem that a human can also solve, but it may take longer.

## Can all problems be solved with algorithms?

Well, an algorithm is a series of steps to solve a problem. With this definition (actually most definitions of an algorithm), any computer program is also an algorithm.Every Euler problem can be solved with a computer program, so the answer is **Yes**.

## What is an example of an empty set?

Any set that does not contain any elements is called the empty set or empty set. The notation used to denote the empty set is – {} or φ. example: **Let A = {x : 9 will be an empty set because there are no natural numbers between the numbers 9 and 10.**

## Which collection is not empty?

Any grouping of elements that satisfies the collection properties and has at least one element is an example of a non-empty collection, so there are many different examples.This **just set S={1}** An element is an example of a non-empty set.

## How many subsets does an empty set have?

empty set just **1 subset**: 1. A set with one element has 1 subset with no element and 1 subset with one element: 1 1.