Dynamic logic (digital electronics) - Revision history

165.82.201.157: Wrong two used.

2014-11-26T00:45:05Z

Wrong two used.

← Older revision		Revision as of 02:45, 26 November 2014
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	~~In [[computer science]]~~ and [[mathematical logic]], an '''alphabet''' is a non-empty set of ''[[symbol (programming)\|symbols]]'' or ''letters'', e.g. characters or digits.<ref>{{Citation \|last1=Ebbinghaus \|first1=H.-D. \|last2=Flum \|first2=J. \|last3=Thomas \|first3=W. \|doi= \|title=Mathematical Logic \|url=http://~~www.springer~~.com/~~mathematics~~/~~book/978~~-0-~~387~~-~~94258~~-~~2 \|publisher=[[Springer Science+Business Media\|Springer]] \|location=[[New York City\|New York]] \|edition=2nd \|isbn=0~~-~~387~~-~~94258-0 \|year=1994\|page=11\|quote=By an ''alphabet'' <math>\mathcal{A}<~~/~~math> we mean a nonempty set of ''symbols~~''.~~}} </ref> For example a common alphabet~~ is ~~{0,1}, the '''binary alphabet''~~'. ~~A finite [[String (computer science)\|string~~]~~] is a finite sequence of letters from an alphabet; for instance a binary string is a string drawn from the alphabet {0,1}~~. ~~An infinite [[Infinite sequence#Infinite sequences in theoretical computer science\|sequence]] of letters may be constructed from elements of~~ an ~~alphabet as well~~.		The individual who wrote the post is known as Jayson Hirano and he completely digs that title. For [http://myfusionprofits.com/groups/find-out-about-self-improvement-tips-here/ psychic readers] many years he's been living in Alaska and he doesn't plan on altering it. What me and my family members adore is to climb but I'm thinking [http://www.taehyuna.net/xe/?document_srl=78721 telephone psychic] on starting some thing new. Since he was eighteen he's been working as an information officer but he ideas on altering it.<br><br>Here is my web site - psychic phone readings, [http://www.familysurvivalgroup.com/easy-methods-planting-looking-backyard/ recommended site],

	~~Given an alphabet~~ <~~math~~>~~\Sigma~~<~~/math~~>~~, we write <math>\Sigma^</math> to denote the set of all finite strings over the alphabet <math>\Sigma</math>.~~ Here, ~~the <math>{}^</math> denotes the~~ [~~[Kleene star]] operator, so <math>\Sigma^*<~~/~~math> is also called the Kleene closure of <math>\Sigma<~~/~~math>~~. ~~We write <math>\Sigma^\infty</math> (or occasionally, <math>\Sigma^\N</math> or <math>\Sigma^\omega<~~/~~math>) to denote the set of all infinite sequences over the alphabet <math>\Sigma</math>.~~

	~~For example, if we use the binary alphabet {0,1}, the strings (ε, 0, 1, 00, 01, 10, 11, 000, etc.) would all be in the Kleene closure of the alphabet (where ε represents the [[empty string]]).~~

	Alphabets are important in the use of [[formal languages]], [[Automata theory\|automata]] and [[semiautomaton\|semiautomata]]. In most cases, for defining instances of automata, such as [[deterministic finite automaton\|deterministic finite automata]] (DFAs), it is required to specify an alphabet from which the input strings for the automaton are built.

	~~==See also==~~
	*[[Combinatorics on words]]

	~~==References==~~
	~~{{Reflist}}~~

	~~==Literature==~~
	* John E. Hopcroft and Jeffrey D. Ullman, ''[[Introduction to Automata Theory, Languages, and Computation]]'', Addison-~~Wesley Publishing, Reading Massachusetts, 1979. ISBN 0~~-~~201~~-~~02988~~-X.

	~~{{DEFAULTSORT:Alphabet (Computer Science)}}~~
	~~[[Category:Formal languages~~]]
	~~[[Category:Combinatorics on words]]~~

	~~{{Comp-sci-theory-stub}}~~

en>FreeRangeFrog: correct target

2013-11-02T22:14:48Z

correct target

← Older revision		Revision as of 00:14, 3 November 2013
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	~~Golda is what~~'~~s created on my beginning certificate even though it~~ is ~~not the title on my beginning certification. Office supervising is what she does for~~ a ~~residing. For many years phone psychic readings~~ (~~[http://checkmates~~.co.~~za/index~~.~~php?do~~=~~/profile~~-~~56347/info/ please click for source]) she's been residing in Kentucky but her husband psychic readers ([~~http://~~Www~~.~~familysurvivalgroup~~.com/~~easy~~-~~methods~~-~~planting~~-~~looking~~-~~backyard~~/ ~~Www~~.~~familysurvivalgroup~~.~~com~~]~~) wants them to move. The favorite hobby~~ for ~~him and his kids~~ is to ~~perform lacross and he would never give it up~~.<br><br>~~Stop by my webpage: phone psychic~~ [[~~http:~~//~~medialab~~.~~zendesk.com~~/~~entries~~/~~54181460~~-~~Will~~-~~You~~-~~Often~~-~~End~~-Up-~~Bored~~-~~Try-One-Of-These-Hobby-Ideas- medialab.zendesk.com]]~~		In [[computer science]] and [[mathematical logic]], an '''alphabet''' is a non-empty set of ''[[symbol (programming)\|symbols]]'' or ''letters'', e.g. characters or digits.<ref>{{Citation \|last1=Ebbinghaus \|first1=H.-D. \|last2=Flum \|first2=J. \|last3=Thomas \|first3=W. \|doi= \|title=Mathematical Logic \|url=http://www.springer.com/mathematics/book/978-0-387-94258-2 \|publisher=[[Springer Science+Business Media\|Springer]] \|location=[[New York City\|New York]] \|edition=2nd \|isbn=0-387-94258-0 \|year=1994\|page=11\|quote=By an ''alphabet'' <math>\mathcal{A}</math> we mean a nonempty set of ''symbols''.}} </ref> For example a common alphabet is {0,1}, the '''binary alphabet'''. A finite [[String (computer science)\|string]] is a finite sequence of letters from an alphabet; for instance a binary string is a string drawn from the alphabet {0,1}. An infinite [[Infinite sequence#Infinite sequences in theoretical computer science\|sequence]] of letters may be constructed from elements of an alphabet as well.

			Given an alphabet <math>\Sigma</math>, we write <math>\Sigma^</math> to denote the set of all finite strings over the alphabet <math>\Sigma</math>. Here, the <math>{}^</math> denotes the [[Kleene star]] operator, so <math>\Sigma^*</math> is also called the Kleene closure of <math>\Sigma</math>. We write <math>\Sigma^\infty</math> (or occasionally, <math>\Sigma^\N</math> or <math>\Sigma^\omega</math>) to denote the set of all infinite sequences over the alphabet <math>\Sigma</math>.

			For example, if we use the binary alphabet {0,1}, the strings (ε, 0, 1, 00, 01, 10, 11, 000, etc.) would all be in the Kleene closure of the alphabet (where ε represents the [[empty string]]).

			Alphabets are important in the use of [[formal languages]], [[Automata theory\|automata]] and [[semiautomaton\|semiautomata]]. In most cases, for defining instances of automata, such as [[deterministic finite automaton\|deterministic finite automata]] (DFAs), it is required to specify an alphabet from which the input strings for the automaton are built.

			==See also==
			*[[Combinatorics on words]]

			==References==
			{{Reflist}}

			==Literature==
			* John E. Hopcroft and Jeffrey D. Ullman, ''[[Introduction to Automata Theory, Languages, and Computation]]'', Addison-Wesley Publishing, Reading Massachusetts, 1979. ISBN 0-201-02988-X.

			{{DEFAULTSORT:Alphabet (Computer Science)}}
			[[Category:Formal languages]]
			[[Category:Combinatorics on words]]

			{{Comp-sci-theory-stub}}

en>Helpful Pixie Bot: ISBNs (Build KE)

2012-05-09T14:20:27Z

ISBNs (Build KE)

New page

Golda is what's created on my beginning certificate even though it is not the title on my beginning certification. Office supervising is what she does for a residing. For many years phone psychic readings ([http://checkmates.co.za/index.php?do=/profile-56347/info/ please click for source]) she's been residing in Kentucky but her husband psychic readers ([http://Www.familysurvivalgroup.com/easy-methods-planting-looking-backyard/ Www.familysurvivalgroup.com]) wants them to move. The favorite hobby for him and his kids is to perform lacross and he would never give it up.<br><br>Stop by my webpage: phone psychic [[http://medialab.zendesk.com/entries/54181460-Will-You-Often-End-Up-Bored-Try-One-Of-These-Hobby-Ideas- medialab.zendesk.com]]