Automata and Formal Language (chapter 3) ppt
Automata and Formal Language (chapter 3) ppt
... of the form:
A → xB
A → x
A, B ∈ V and x ∈ T
*
Theorem 3.4
L is a regular language iff there exists a
regular grammar
G such that L = L(G).
Regular Language and
Regular Grammar
Example 3.3
r ... Recalled
•
Formal grammar:
G = (V, T, S, P)
V: finite set of variables
T: finite set of terminal symbols
S∈V: start variable
P: finite set of productions
Equivalent Regular Expression
r
1...
Automata and Formal Language (chapter 6) ppt
... (cont’d)
Proof:
•
Draw the variable dependency graph for G
1
and find all
variables that cannot be reached from S.
•
Remove those variables and the productions involving them.
•
Eliminate any terminal ... V
1
.
•
Reduce the length of the right sides of the productions:
1. Put all productions A → a and A → BC into P^.
2. Repeat until no more productions are added to P^:
For each...
Automata and Formal Language (chapter 1) pot
... ngôn ngữ hình thức.
Hồ Văn Quân
•
An introduction to formal languages and automata.
Peter Linz
•
Introduction to automata theory, languages, and computation.
John Hopcroft & Jeffrey Ullman
Automaton ... Language (cont’d)
•
Language: a subset L of Σ*
•
Sentence: a string in L
•
Example 1.3: In Example 1.2, L is a language on Σ, w is a
string of Σ but not a sentence in L
Fo...
Automata and Formal Language (chapter 4) pdf
... F and y ∈ L
2
q
1
q
2
b
b
Questions about RL
2. Is there an algorithm to determine whether or not a regular language is
empty, finite, or infinite?.
Yes.
Right Quotient
Let L
1
and L
2
be languages ... L
1
and
y ∈ L
2
}
Homomorphism (cont’d)
If L is a language on Σ, then its homomorphic image is defined as:
h(L) = {h(w): w ∈ L}
Questions about RL
3. Given two regular languages L...
Automata and Formal Language (chapter 7) pot
... erase A and move to q
k
if receiving a and
at q
j
erase BC and move to q
k
At q
i
erase A and move to q
k
if receiving a and
at q
j
erase B and move to q
m
and
at q
m
erase C and move ... A and move to q
k
if receiving a and
at q
j
erase B and move to q
m
and
at q
m
erase C and move to q
k
(q
i
Aq
k
) → a(q
j
Bq
m
)(q
m
Cq
k
)
2
Pushdown Automata
•
There a...
PURCHASE AND ASSUMPTION TRANSACTIONS CHAPTER 3 ppt
... administers, and collects shared
loss assets consistent with usual and prudent business and banking practices and in a manner
consistent with its own internal practices, procedures, and written ... against former directors and officers, claims under bankers blanket bonds and director
and officer insurance policies, prepaid assessments, and tax receivables. Subsidiaries and...
Automata and Formal Language
... ngôn ngữ hình thức.
Hồ Văn Quân
•
An introduction to formal languages and automata.
Peter Linz
•
Introduction to automata theory, languages, and computation.
John Hopcroft & Jeffrey Ullman
Storage
A ... configuration
Generated Language
G = (V, T, S, P)
L(G) = {w∈T* | S ⇒* w}
•
Example 1.8:
Take into consideration the grammar given in
Example 1.6:
L(G) = {a
n
b
n
| n ≥ 0}...
Automata and Formal language docx
... Ab
A → aAb
A → λ
3
Formal Languages & Automata
A formal language:
Is an abstraction of the general characteristics of programming languages.
Consists of a set of symbols and some formation ... trên.
15
Languages
Language concatenation:
L1L2 = {xy | x∈L1, y∈L2}
L
n
= L L L (n times)
L
0
= {λ}
13
Languages
Language: a subset L of Σ
*
Word or Sentence: a string in L...
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