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[PDF] Regular Expressions

Regular Expressions: Examples If Σ = {0,1} (ϵ + 1)(01) ∗ (ϵ + 0) is the set of strings that alternate 0's and 1's Another expression for the same language is (01 )



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The expression +0+1 describes the strings with length zero or one, and Problem 2 We want to show that the family of regular languages is closed under sym-



[PDF] Regular Expressions - UCSB Computer Science

(1+ϵ)(01)∗ denotes the set of strings consisting of alternating 0s and 1s that end in 1 (1 + ϵ)(01)∗(0 + ϵ) denotes the desired language Regular expression operator precedence: ∗ > concatenation > + Use parentheses to override these operator precedences



[PDF] languages & regular expressions notes

(ϵ + 1)(01)∗(ϵ + 0) — the set of all strings of alternating 0s and 1s, or equivalently, the set of all binary strings that do not contain the substrings 00 or 11 • ((ϵ + 0 



[PDF] Give regular expressions for each of the following languages over

Solution (clever): ϵ + 0 + 00 + 1 + 01 + 001 + 000(1 + 0) (1 + 0)∗ □ Solution: Equivalently, strings that alternate between 0s and 1s: (01+10)∗(ϵ+0+1) □



[PDF] NFAs and regular expressions - MIT OpenCourseWare

Regular expressions denote FA-recognizable languages • Reading: Sipser several alternative computations on the same input string • Ordinary c NFA Example 2 b c 0,1 d 0 1 e f g 1 0 a ε ε 0 1 ε a {a} {a} {b,c} b {c} ∅ ∅ ∅ {d} ∅ d



Exercises

A context-sensitive grammar (CSG) or type 1 grammar is a type 0 grammar that Recall that regular expressions over {a, b} may use 1:, ~, a, b, and operators + 



[PDF] Alternating finite automata and star-free languages - CORE

For a given extended regular expression e we construct an equational 1 Introduction Alternating finite automata (AFA), or Boolean automata, are a We denote by the symbol B the two-element Boolean algebra B=({0; 1}; ∨; ∧; ¬; 0; 1)

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