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Itec 420 Final
Killl meh
32
Other
Undergraduate 3
12/14/2010

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Term
Language
Definition
A set of strings
Term
Regular Language
Definition
a language that is accepted by a DFA
Term
ԑ / epsilon
Definition
The empty string
Term
Definition
The empty set
Term
What does it mean to say that the regular languages are closed under the regular operation concatenation?
Definition
Concatenation of two regular languages is itself a regular language.
Term
T/F: ԑ is a member of some, but not all, power sets
Definition
False: Power sets have sets of elements
Term
T/F: ԑ is a member of every power set
Definition
False: ԑ is not a set and so it is not in any power set
Term
T/F: ԑ is a member of some, but not all languages
Definition
True: some languages contain the empty string, some do not
Term
T/F: ԑ is a member of every language
Definition
False: some languages contain the empty string, some do not
Term
T/F: ԑ is a member of some, but not all alphabets
Definition
False: ԑ is never a member of an alphabet
Term
T/F: ԑ is a member of every alphabet
Definition
False: ԑ is never a member of an alphabet
Term
T/F: ԑ is a language
Definition
False: ԑ is not a set and so it is not a language
Term
T/F: {ԑ} is a language
Definition
True: it is a language containing only the empty string
Term
T/F: ∅ is a language
Definition
True: the empty set is a subset of all sets, and so it is in every power set
Term
T/F: ∅ is a member of some, but not all, power sets
Definition
False: The empty set is a subset of all sets, and so is every power set
Term
T/F: {∅} is a member of every power set
Definition
True: The empty set is a subset of all sets, and so is every power set
Term
T/F: {∅} is a language
Definition
False: it is not a language because {∅} is not a string
Term
Which defines a broader set of languages: DFA, NFA, Neither, or It depends.
Definition
Neither: DFA and NFA have equivalent power because for every DFA we can define an equivalent NFA and vice versa
Term
Turing Recognizable
Definition
if some turing machine recognizes it
Term
Turing Decidable
Definition
if some turing machine decides it
Term
Church-Turing Thesis
Definition
A language is computable if a Turing Machine computes it
Term
Rec or Dec: A-DFA
Definition
Decidable
Term
Rec or Dec: A-NFA
Definition
Decidable
Term
Rec or Dec: A-REX
Definition
Decidable
Term
Rec or Dec: E-DFA
Definition
Decidable
Term
Rec or Dec: EQ-DFA
Definition
Decidable
Term
Rec or Dec: A-CFG
Definition
Decidable
Term
Rec or Dec: E-CFG
Definition
Decidable
Term
Rec or Dec: EQ-CFG
Definition
Decidable
Term
Rec or Dec: ANY CFL
Definition
Decidable
Term
Rec or Dec: A-TM
Definition
Recognizable
Term
Rec or Dec: A-TM^c (ie A-TM bar)
Definition
Decidable*
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