The document discusses finite state automata (FSA) and regular expressions. It provides examples of deterministic and non-deterministic FSA that recognize strings containing combinations of words. Non-deterministic FSA can have multiple possible state transitions for a given input, requiring strategies like backing up, look-ahead, or parallel processing to determine if a string is accepted. FSA and regular expressions can define regular languages by generating all matching strings.
This slides covers introduction about machine translation, some technique using in MT such as example based MT and statistical MT, main challenge facing us in machine translation, and some examples of application using in MT
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This slides covers introduction about machine translation, some technique using in MT such as example based MT and statistical MT, main challenge facing us in machine translation, and some examples of application using in MT
This lectures provides students with an introduction to natural language processing, with a specific focus on the basics of two applications: vector semantics and text classification.
(Lecture at the QUARTZ PhD Winter School (http://www.quartz-itn.eu/training/winter-school/ in Padua, Italy on February 12, 2018)
This is the presentation on Syntactic Analysis in NLP.It includes topics like Introduction to parsing, Basic parsing strategies, Top-down parsing, Bottom-up
parsing, Dynamic programming – CYK parser, Issues in basic parsing methods, Earley algorithm, Parsing
using Probabilistic Context Free Grammars.
Lection is one of the course "Discrete Mathematics." More detailed information about the programs of the Economic Cybernetics Department SumDU you could find here: https://ek.biem.sumdu.edu.ua/courses
Notation, Regular Expressions in Lexical Specification, Error Handling, Finite Automata State Graphs, Epsilon Moves, Deterministic and Non-Deterministic Automata, Table Implementation of a DFA
Date: March 2, 2016
Course: UiS DAT911 - Foundations of Computer Science (fall 2016)
Please cite, link to or credit this presentation when using it or part of it in your work.
At the end of this lecture students should be able to;
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Apply taught concepts for writing programs.
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Compare fixed length and variable length string.
Apply strings for functions.
Define string handling functions.
Apply taught concepts for writing programs.
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Define, initialize and access to the C stuctuers.
Develop programs using structures in arrays and functions.
Use structures within structures and structures as pointers.
Define, initialize and access to the C unions.
Compare and contrast C structures and unions.
Define memory allocation and de-allocation methods in C.
Develop programs using memory allocation functions.
Apply taught concepts for writing programs.
At the end of this lecture students should be able to;
Define the C standard functions for managing input output.
Apply taught concepts for writing programs.
At the end of this lecture students should be able to;
Define the C pointers and its usage in computer programming.
Describe pointer declaration and initialization.
Apply C pointers for expressions.
Experiment on pointer operations.
Identify NULL pointer concept.
Experiment on pointer to pointer, pointer arrays, arrays with pointers and functions with pointers.
Apply taught concepts for writing programs.
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Describe the C arrays.
Practice the declaration, initialization and access linear arrays.
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Apply taught concepts for writing programs.
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Apply taught concepts for writing programs.
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Define the terms operators, operands, operator precedence and associativity.
Describe operators in C programming language.
Practice the effect of different operators in C programming language.
Justify evaluation of expressions in programming.
Apply taught concepts for writing programs.
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Define type cast and type promotion in C programming language.
Define command line arguments in C Programming language.
Declare constants according to the C programming.
Apply math.h header file for problem solving.
Apply taught concepts for writing programs.
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Define Keywords / Reserve Words in C programming language.
Define Identifiers, Variable, Data Types, Constants and statements in C Programming language.
Justify the internal process with respect to the variable declaration and initialization.
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Explore the innovative world of trenchless pipe repair with our comprehensive guide, "The Benefits and Techniques of Trenchless Pipe Repair." This document delves into the modern methods of repairing underground pipes without the need for extensive excavation, highlighting the numerous advantages and the latest techniques used in the industry.
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When the automobile is sold to the customer, stock will be reduced automatically. When a new purchase is made, stock will be increased automatically. While selecting automobiles for sale, the proposed software will automatically check for total number of available stock of that particular item, if the total stock of that particular item is less than 5, software will notify the user to purchase the particular item.
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Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
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2. Introduction
• The regular expression is more than just a
convenient meta-language for text searching.
• Symmetrically, any finite-state automaton can be
described with a regular expression.
• Second, a regular expression is one way of
characterizing a particular kind of formal
language called a regular language.
• Both regular expressions and finite-state
automata can be used to described regular
languages.
3. Introduction (Cont…)
• we defined the sheep language as any string
from the following (infinite) set:
/baa+!/
4. Introduction (Cont…)
• We represent the automaton as a directed graph: a finite set of
vertices (also called nodes), together with a set of directed links
between pairs of vertices called arcs.
• We’ll represent vertices with circles and arcs with arrows.
• The automaton has five states, which are represented by nodes in
the graph.
• State 0 is the start state which we represent by the incoming arrow.
• State 4 is the final state or accepting state, which we represent by
the double circle.
• It also has four transitions, which we represent by arcs in the graph.
5. Introduction (Cont…)
• The FSA can be used for recognizing (we also say accepting) strings
in the following way.
• The machine starts in the start state (q0), and iterates the following
process:
– Check the next letter of the input.
– If it matches the symbol on an arc leaving the current state, then cross
that arc, move to the next state, and also advance one symbol in the
input. I
– If we are in the accepting state (q4) when we run out of input, the
machine has successfully recognized an instance of sheeptalk.
• If the machine never gets to the final state, either because
– it runs out of input, or
– it gets some input that doesn’t match an arc, or
– if it just happens to get stuck in some non-final state, we say the
machine rejects or fails to accept an input.
6. Introduction (Cont…)
• We can also represent an automaton with a state-
transition table.
• We’ve marked state 4 with a colon to indicate that it’s a
final state (you can have as many final states as you want),
and the /0 indicates an illegal or missing transition.
7. Introduction (Cont…)
• More formally, a finite automaton is defined by
the following 5 parameters:
– Q: a finite set of N states q0,q1,….,qN
– Σ: a finite input alphabet of symbols
– q0: the start state
– F: the set of final states, F subset of Q
– d(q,i): The transition function or transition matrix
between states.
– Given a state qϵQ and an input symbol iϵΣ, δ(q,i)
returns a new state q’ϵQ.
– δ is thus a relation from Q ×Σ to Q;
9. Fail State
• The state machine will fail whenever there is no legal
transition for a given combination of state and input.
• The input abc will fail to be recognized since there is no
legal transition out of state q0 on the input a.
• Even if the automaton had allowed an initial a it would
have certainly failed on c, since c isn’t even in the
alphabet!
• We can think of these ‘empty’ elements in the table as
if they all pointed at one ‘empty’ state, which we might
call the fail state or sink state.
10. Fail State (Cont…)
• In a sense then, we could view any machine with
empty transitions as if we had augmented it with
a fail state, and drawn in all the extra arcs, so we
always had somewhere to go from any state on
any possible input.
• Just for completeness, the following is the
previous FSA with the fail state qF.
11. Formal Languages
• Let’s say for now that we don’t care how the machine makes this
decision; maybe it flips a coin.
• For now, we don’t care which exact string of above example we
generate, as long as it’s a string captured by the regular expression
for discussed previously.
• A formal language is a set of strings, each string composed of
symbols from a finite symbol-set called an alphabet (the same
alphabet used above for defining an automaton!).
• The alphabet for the above example is the set Σ ={a, b, !}.
• Given a model m (such as a particular FSA), we can use L(m) to
mean “the formal language characterized by m”.
• So the formal language defined by previous automaton m in is the
infinite set: L(m)={baa!, baaa!, baaaa!, baaaaa!, baaaaaa!,…..}
12. Formal Languages (Cont…)
• The usefulness of an automaton for defining a language is that it
can express an infinite set (such as this one above) in a closed form.
• Formal languages are not the same as natural languages, which are
the kind of languages that real people speak.
• In fact a formal language may bear no resemblance at all to a real
language.
• But we often use a formal language to model part of a natural
language, such as parts of the phonology, morphology, or syntax.
• The term generative grammar is sometimes used in linguistics to
mean a grammar of a formal language; the origin of the term is this
use of an automaton to define a language by generating all possible
strings.
13. FSA with Word Combination
• Suppose we wanted to build an FSA that modeled the
subpart of English dealing with amounts of money.
• Such a formal language would model the subset of
English consisting of phrases like ten cents, three
dollars, one dollar thirty-five cents and so on.
14. FSA with Word Combination (Cont…)
• We could now add cents and dollars to our
automaton.
15. Nondeterministic FSAs
• When we get to state 2, if we see an a we don’t know whether to
remain in state 2 or go on to state 3.
• Automata with decision points like this are called Non-deterministic
FSAs (or NFSAs).
• Recall by contrast that previous example specified a deterministic
automaton, i.e. one whose behavior during recognition is fully
determined by the state it is in and the symbol it is looking at.
• A deterministic automaton can be referred to as a DFSA.
16. Nondeterministic FSAs (Cont…)
• There is another common type of non-
determinism, which can be caused by arcs that
have no symbols on them (called ε-transitions).
• The automaton ε in following diagram defines the
exact same language as the last one, or our first
one, but it does it with an ε-transition.
17. Nondeterministic FSAs (Cont…)
• We interpret this new arc as follows:
• If we are in state 3, we are allowed to move to state 2
without looking at the input, or advancing our input
pointer.
• So this introduces another kind of non-determinism –
we might not know whether to follow the ε transition
or the ! arc.
18. Using an NFSA to Accept Strings
• If we want to know whether a string is an
instance of a particular corpus or not, and if we
use a non-deterministic machine to recognize it,
we might follow the wrong arc and reject it when
we should have accepted it.
• That is, since there is more than one choice at
some point, we might take the wrong choice.
• This problem of choice in non-deterministic
models will come up again and again as we build
computational models, particularly for parsing.
19. Using an NFSA to Accept Strings
(Cont…)
• There are three standard solutions to this
problem:
– Backup:
• Whenever we come to a choice point, we could put a marker
to mark where we were in the input, and what state the
automaton was in. Then if it turns out that we took the
wrong choice, we could back up and try another path.
– Look-ahead:
• We could look ahead in the input to help us decide which
path to take.
– Parallelism:
• Whenever we come to a choice point, we could look at every
alternative path in parallel.