How do you prove Decidability?

How do you prove Decidability?

HomeArticles, FAQHow do you prove Decidability?

By definition, a language is decidable if there exists a Turing machine that accepts it, that is, halts on all inputs, and answers “Yes” on words in the language, “No” on words not in the language. Therefore one way of showing that a language is decidable is by describing a Turing machine that accepts it.

Q. When we say a problem is decidable?

A problem is said to be Decidable if we can always construct a corresponding algorithm that can answer the problem correctly. We can intuitively understand Decidable problems by considering a simple example. Suppose we are asked to compute all the prime numbers in the range of 1000 to 2000.

Q. How do you prove a problem is undecidable?

Your language L is indeed undecidable. This can be shown by reducing the halting problem to L: For the halting problem instance (N, y), create a new machine M for the L problem. On input x, M simulates (N, y) for length(x) steps. If the simulation halted within that number of steps, then M halts.

Q. Is halt Undecidable?

The Halting Problem is Undecidable: Proof Since there are no assumptions about the type of inputs we expect, the input D to a program P could itself be a program. Compilers and editors both take programs as inputs.

Q. How do you solve Turing machine problems?

Solution: Firstly we read the first symbol from the left and then we compare it with the first symbol from right to check whether it is the same. Again we compare the second symbol from left with the second symbol from right. We repeat this process for all the symbols.

Q. What is Turing machine with example?

The example Turing machine handles a string of 0s and 1s, with 0 represented by the blank symbol. Its task is to double any series of 1s encountered on the tape by writing a 0 between them. For example, when the head reads “111”, it will write a 0, then “111”. The output will be “1110111”.

Q. What is Turing machine and its application?

Turing machines founds applications in algorithmic information theory and complexity studies, software testing, high performance computing, machine learning, software engineering, computer networks and evolutionary computations.

Q. What are the components of Turing machine?

A Turing machine consists of (a) a finite control, (b) one tape, representing the memory, that has a left margin and is divided into an infinite number of cells, and (c) a moving read/write head. The finite control can be in any one of a finite set Q of states.

Q. Is Turing machine a computer?

A Turing machine is the original idealized model of a computer, invented by Alan Turing in 1936. Turing machines are equivalent to modern electronic computers at a certain theoretical level, but differ in many details. In the example shown, the Turing machine starts from a “blank” tape in which every cell is white.

Q. Why Turing machine is most powerful?

If you look at computational complexity, a Turing Machine is the most powerful machine – because it has unlimited memory, and no real machine has that. Any real machine cannot solve problems of arbitrary size; they cannot even read a problem, much less solve it.

Q. What is meant by Turing test?

What Is the Turing Test? The Turing Test is a deceptively simple method of determining whether a machine can demonstrate human intelligence: If a machine can engage in a conversation with a human without being detected as a machine, it has demonstrated human intelligence.

Q. Why is it called the Turing test?

The test is named after Alan Turing, who pioneered machine learning during the 1940s and 1950s. Turing introduced the test in his 1950 paper called “Computing Machinery and Intelligence” while at the University of Manchester.

Q. What does the Chinese room experiment prove?

The Chinese room argument holds that a digital computer executing a program cannot be shown to have a “mind”, “understanding” or “consciousness”, regardless of how intelligently or human-like the program may make the computer behave. The centerpiece of the argument is a thought experiment known as the Chinese room.

Q. Can Siri pass the Turing test?

Can Siri pass the Turing Test? Probably not. Siri would have to be able to convincingly carry out a conversation with a subject and be able to generate its own thoughts. According to Peter Nowak of Maclean’s, “In such regards, Siri is more of a programmed robot than a thinking entity.

Q. Can a Turing machine think?

Without understanding, they could not be described as “thinking” in the same sense people are. Therefore, Searle concludes, the Turing test cannot prove that a machine can think.

Q. Has any machine passed Turing test?

The Turing test is the first step in determining whether a machine can detect human intelligence. Organisers at Reading University said no computer had previously passed the Turing test, which involves persuading 30 human interrogators to make a series of five-minute keyboard conversations.

Q. Who designed the Turing test?

Alan M. Turing

Q. How can you tell if an AI is sentient?

Every moment of your waking life and whenever you dream, you have the distinct inner feeling of being “you.” When you see the warm hues of a sunrise, smell the aroma of morning coffee or mull over a new idea, you are having conscious experience.

Q. Is Siri self aware?

personality known as Apple’s “Siri” became self-aware this morning at Apple’s Project Dolphin data center. “The quality of Siri’s patter has definitely improved,” said Dr. Hugh Jackson, head of Apple engineering. “Today, for the first time, Siri initiated contact with me, rather than waiting for me to ask it something.

Q. Can you ever know for sure that a robot is conscious or not?

We must state that the brain is the real cause of Consciousness and since Robots has no brain, there is no way they can respond to Conscious moments but it must be noted that the only way a Robot can respond to Consciousness is if they are able to perform a certain task it has been instructed to do.

Q. Can AI feel emotions?

AI and neuroscience researchers agree that current forms of AI cannot have their own emotions, but they can mimic emotion, such as empathy. Functionalism argues that if we simulate emotional intelligence then, by definition, AI is emotionally intelligent.

Q. Does strong AI exist?

Understanding Strong AI Strong AI does not currently exist. Some experts predict it may be developed by 2030 or 2045. With Strong AI, a single system could theoretically handle all the same problems that a single human could.

Q. Is the Turing test still used today?

Nevertheless, the Turing test does make an impact on our society today; albeit more in the spheres of arts and philosophy than in AI development. In philosophy, the test is often part of the conversation around the ability of AI to become self-aware.

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