'Regular languages' diaporamas de présentation

Single Final State for NFA

Single Final State for NFA. Any NFA can be converted to an equivalent NFA with a single final state. Example. NFA. Equivalent NFA. In General. NFA. Equivalent NFA. Single final state. Add a final state Without transitions. Extreme Case. NFA without final state.

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Another NFA Example

Another NFA Example. Language accepted. (redundant state). Remarks:. The symbol never appears on the input tape . Simple automata:. NFAs are interesting because we can express languages easier than DFAs. NFA. DFA. Formal Definition of NFAs. Set of states, i.e.

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Another NFA Example

Another NFA Example. Language accepted. (redundant state). Remarks:. The symbol never appears on the input tape . Simple automata:. NFAs are interesting because we can express languages easier than DFAs. NFA. DFA. Formal Definition of NFAs. Set of states, i.e.

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Single Final State for NFAs and DFAs

Single Final State for NFAs and DFAs . Observation. Any Finite Automaton (NFA or DFA) can be converted to an equivalent NFA with a single final state. Equivalent NFA. Example. NFA. Equivalent NFA. Single final state. In General. NFA. Add a final state Without transitions.

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Languages, grammars, and regular expressions

Languages, grammars, and regular expressions. LING 570 Fei Xia Week 2: 10/03/07. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A. Today. Hw1 is due: 1% penalty per hour after 3pm. Probability Theory (from last time)

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Regular Languages

Regular Languages. ????????. Outline. Regular expression s Regular languages Equivalence between language s accepted by FA and regular languages Closure Properties. Regular Expressions. Regular expression over alphabet ? ? is a regular expression. ? is a regular expression.

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More Applications of the Pumping Lemma

More Applications of the Pumping Lemma. The Pumping Lemma:. Given a infinite regular language . there exists an integer (critical length). for any string with length . we can write. with and. such that:. Non-regular languages.

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More Applications of the Pumping Lemma

More Applications of the Pumping Lemma. The Pumping Lemma:. Given a infinite regular language . there exists an integer . for any string with length . we can write. with and. such that:. Non-regular languages. Regular languages.

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Language Recognition (11.4) Longin Jan Latecki Temple University

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Properties of Regular Languages

Properties of Regular Languages. Reading: 4.1 & 4.2. Closure Questions. Is the class of regular languages closed under union ? That is, given 2 regular languages L1 & L2, is L1 U L2 also regular?. Closure by definition. Regular Languages are closed under Union L(r1) or L(r2)

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Nonregularity Proofs

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The Golden Chain

The Golden Chain. ? NFA ? NFA ? DFA ?REGEX. Regular Expressions . Computations in a semi-ring. Given a weighted graph, find the shortest path connecting any two vertices Given a graph, find its transitive closure Given a finite automaton, find the REGEX describing its language.

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CHAPTER 1 Regular Languages

CHAPTER 1 Regular Languages. Contents. Finite Automata (FA or DFA) definitions, examples, designing, regular operations Non-deterministic Finite Automata (NFA) definitions, equivalence of NFAs and DFAs, closure under regular operations Regular expressions

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Martin Kay Stanford University

Algorithms and Programming. for. Natural Language Processing. Martin Kay Stanford University. Classical nonstatistical methods in computational linguistics and natural language processing. Paticipation Homeworks Project. Requirements. Idealy: A logic programmer An OO programmer

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The Chomsky Hierarchy: Four Computers

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1.3 Properties of Regular Languages

1.3 Properties of Regular Languages. Pumping Lemma Closure properties Decision properties Minimization of DFAs. Limits on the Power of FA. Is every language describable by a sufficiently complex regular expression?

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Chomsky Hierarchy Language Operations and Properties

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Chomsky Hierarchy Language Operations and Properties

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CHAPTER 1 Regular Languages

CHAPTER 1 Regular Languages. Contents. Finite Automata (FA or DFA) definitions, examples, designing, regular operations Non-deterministic Finite Automata (NFA) definitions, equivalence of NFAs and DFAs, closure under regular operations Regular expressions

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