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# What is an infinite word automaton good for?

Updated: 9/18/2023

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13y ago

Infinite word automatons, invented by Buchi in the sixties, were used for reasoning about logic. Today they are used for formal verification of systems.

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13y ago

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Q: What is an infinite word automaton good for?
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### What is the definition of a buchi automaton?

A Buchi automaton is a regular automaton but reads infinite words instead of finite words. A word is defined to be in the language of the automaton iff a run of the automaton on it visits inifinitly many times in the group of final states (or receiving states).

### What is the definition of a co-buchi automaton?

A co-buchi automaton is defined similarly to a buchi one: A = .The acceptance condition of a co-Buchi automaton is: for an infinite word w, w is in L(A) (A's language) iff there is a run of A on w that stays in F. "Stays", in formal terms means that for an infinite run r=r1 r2 ... there is a number n such that for every m>n rm is in F.

### Use the word automaton in a sentence?

Robots that self operate are known as automaton robots.

### What is the difference automaton and automation?

At automaton is a machine which has automation.See the related links below for the dictionary entries for each word.

### How do you prove that the language finite number of 0s isn't in DBW?

Assume by way of contradiction that there is a deterministic automaton for the language: The word 1^omega is in the language and therefor the run on it is accepting. So there is an index i_1 that the run passes in F. Observe the word 1^i_1 0 1^omega. The word is also in the language. Observe the second index it passes in F - i_2. We observe the word 1^i_1 0 i_2 0 1^omega. Continue like this and we create a word that has infinite number of 0-s that the automaton accepts - a contradiction for it being an automaton that recognizes the language.

### What are facts about automaton toys?

the word automaton comes from Greek word automatos meaning acting of ones own will another word for automaton is robot Automatons can do any job a person can do purpose is to entertain or to do work In Islamic world inventors made water operated automatons that of which most were i the form of peacocks

### What does automata mean?

Cellular automata is the plural word for cellular automaton. A cellular automaton is a discrete model studied in different areas of math and science. It is basically used to study cells.

### When was Automaton Transfusion created?

Automaton Transfusion was created in 2008.

### What are the two plurals of automaton?

The plural of automaton is automatons or automata

### Where is automat?

The word Automata derived from a Greek word Automaton, Automatas means any machine can work on his own will.

### What is the duration of Automaton Transfusion?

The duration of Automaton Transfusion is 1.17 hours.

### What are facts about automatons?

the word automaton comes from Greek word automatos meaning acting of ones own will another word for automaton is robot Automatons can do any job a person can do purpose is to entertain or to do work In Islamic world inventors made water operated automatons that of which most were i the form of peacocks