The Resource Language equations, Ernst L. Leiss

Language equations, Ernst L. Leiss

Label
Language equations
Title
Language equations
Statement of responsibility
Ernst L. Leiss
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1952-
http://library.link/vocab/creatorName
Leiss, Ernst L.
Index
index present
LC call number
QA76.9.N38
LC item number
L445 1999
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Natural language processing (Computer science)
  • Computational linguistics
  • Computational linguistics
  • Natural language processing (Computer science)
  • Formale Sprache
  • Automatentheorie
  • Theoretische Informatik
  • Natürliche Sprache
  • Linguistische Datenverarbeitung
Label
Language equations, Ernst L. Leiss
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [213]-214) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • 5
  • 79
  • 7
  • Explicit Equations over a One-Letter Alphabet
  • 86
  • 7.1
  • Properties of Languages over a One-Letter Alphabet
  • 87
  • 7.2
  • Normal Forms of Expressions Without Complementation
  • 89
  • 1.5
  • 7.3
  • Two Key Theorems
  • 91
  • 7.4
  • Solving General Equations in One Variable
  • 99
  • 7.5
  • Solving Systems of Equations
  • 101
  • 7.6
  • Invertibility of Operations
  • Uniqueness and Regularity of Solutions
  • 102
  • 7.6.1
  • Uniqueness
  • 102
  • 7.6.2
  • Regularity
  • 103
  • 7.6.3
  • CFL over {a}
  • 6
  • 104
  • 7.7
  • Explicit Equations over {a} with Complementation
  • 105
  • 8
  • Implicit Equations with Union and Left-Concatenation
  • 109
  • 8.1
  • Basic Properties of Implicit Language Equations
  • 111
  • 1.6
  • 8.1.1
  • Existence of Solutions
  • 111
  • 8.1.2
  • Nonclosure of CFL Under Implicit Language Equations
  • 112
  • 8.2
  • A Procedure for Determining That No Solution Exists
  • 114
  • 8.3
  • Implicit and Explicit Equations
  • Solving Implicit Language Equations
  • 116
  • 8.4
  • Characterizing Uniqueness in Implicit Language Equations
  • 121
  • 9
  • Regular Implicit Equations over a One-Letter Alphabet with Union, Concatenation, and Star
  • 129
  • 9.1
  • Properties of Expressions over a One-Letter Alphabet
  • 6
  • 130
  • 9.2
  • Solving One Equation in One Variable
  • 133
  • 9.3
  • Solving Systems of Equations
  • 136
  • 9.4
  • Uniqueness of Solutions
  • 140
  • 1.8
  • 10
  • Explicit Relations with Union and Left-Concatenation
  • 146
  • 10.2
  • Properties of Single Explicit Relations in One Variable
  • 149
  • 10.3
  • Solving Systems with Several Explicit Equations for One Variable
  • 151
  • 10.4
  • Assumed Background of the Reader
  • Solving Strictly Decoupled Systems
  • 159
  • 10.5
  • Solving General Decoupled Systems
  • 162
  • 11
  • Implicit Relations with Union and Left-Concatenation
  • 171
  • 11.1
  • Existence of Solutions
  • 9
  • 174
  • 11.2
  • Uniqueness of Solutions
  • 177
  • 12
  • Two-Sided Language Equations
  • 184
  • 13
  • Mixed Systems
  • 198
  • 1.1
  • 2
  • 13.1
  • Mixed Systems of Equations with Union and Left-Concatenation
  • 199
  • 13.2
  • Mixed Systems of Equations over a One-Letter Alphabet with Regular Constants and Union, Concatenation, and Star
  • 202
  • 14
  • Open Problems
  • 207
  • 14.1
  • Basic Definitions
  • Classification
  • 207
  • 14.2
  • The Cardinality of the Alphabet
  • 208
  • 14.3
  • The Class of Constant Languages
  • 209
  • 14.4
  • The Set of Operations Involved
  • 10
  • 209
  • 14.5
  • Two-Sided, Implicit, and Explicit Equations
  • 210
  • 14.6
  • Effectiveness of Constructions
  • 211
  • 2.1
  • The Alphabet
  • 10
  • 2.2
  • The Constant Languages
  • 11
  • 2.3
  • Arithmetic Equations
  • The Language Operations
  • 11
  • 2.4
  • The Variables
  • 13
  • 2.5
  • The Expressions
  • 13
  • 2.6
  • The Equations
  • 2
  • 15
  • 2.6.1
  • Two-Sided Equations
  • 16
  • 2.6.2
  • Explicit and Implicit Equations
  • 16
  • 2.7
  • The Relations
  • 17
  • 1.2
  • 3
  • Classical Language Equations and the Substitution Property
  • 21
  • 3.2
  • The Syntactic Solution Approach
  • 23
  • 3.3
  • The Substitution Property
  • 28
  • 3.4
  • Language Equations
  • Constructing Nondeterministic Finite Automata for the Solution Languages
  • 31
  • 3.5
  • A Note on Context-Free Grammars
  • 34
  • 4
  • Boolean Language Equations
  • 38
  • 4.1
  • Boolean Automata
  • 3
  • 39
  • 4.2
  • The & lambda;-Property and the Normal Form Theorem
  • 42
  • 4.3
  • The Uniqueness Criterion for Boolean Equations
  • 46
  • 4.4
  • Generalized Derivatives of Expressions
  • 47
  • 1.4
  • 4.5
  • Constructing a Boolean Automaton for the Solution of Boolean Equations
  • 50
  • 4.6
  • Boolean Equations with Multiple Solution
  • 60
  • 5
  • More on Generalized Derivatives
  • 64
  • 5.1
  • Nonlinear Equations
  • Derivatives and the & lambda;-Property
  • 64
  • 5.2
  • Existence and Uniqueness of Solutions
  • 69
  • 5.4
  • Techniques for Determining Whether a Word Is in a Solution
  • 75
  • 6
  • Star Equations
Dimensions
24 cm.
Extent
xvi, 216 pages
Isbn
9780387986265
Lccn
98031040
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)39732968
  • (OCoLC)ocm39732968
Label
Language equations, Ernst L. Leiss
Publication
Bibliography note
Includes bibliographical references (p. [213]-214) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • 5
  • 79
  • 7
  • Explicit Equations over a One-Letter Alphabet
  • 86
  • 7.1
  • Properties of Languages over a One-Letter Alphabet
  • 87
  • 7.2
  • Normal Forms of Expressions Without Complementation
  • 89
  • 1.5
  • 7.3
  • Two Key Theorems
  • 91
  • 7.4
  • Solving General Equations in One Variable
  • 99
  • 7.5
  • Solving Systems of Equations
  • 101
  • 7.6
  • Invertibility of Operations
  • Uniqueness and Regularity of Solutions
  • 102
  • 7.6.1
  • Uniqueness
  • 102
  • 7.6.2
  • Regularity
  • 103
  • 7.6.3
  • CFL over {a}
  • 6
  • 104
  • 7.7
  • Explicit Equations over {a} with Complementation
  • 105
  • 8
  • Implicit Equations with Union and Left-Concatenation
  • 109
  • 8.1
  • Basic Properties of Implicit Language Equations
  • 111
  • 1.6
  • 8.1.1
  • Existence of Solutions
  • 111
  • 8.1.2
  • Nonclosure of CFL Under Implicit Language Equations
  • 112
  • 8.2
  • A Procedure for Determining That No Solution Exists
  • 114
  • 8.3
  • Implicit and Explicit Equations
  • Solving Implicit Language Equations
  • 116
  • 8.4
  • Characterizing Uniqueness in Implicit Language Equations
  • 121
  • 9
  • Regular Implicit Equations over a One-Letter Alphabet with Union, Concatenation, and Star
  • 129
  • 9.1
  • Properties of Expressions over a One-Letter Alphabet
  • 6
  • 130
  • 9.2
  • Solving One Equation in One Variable
  • 133
  • 9.3
  • Solving Systems of Equations
  • 136
  • 9.4
  • Uniqueness of Solutions
  • 140
  • 1.8
  • 10
  • Explicit Relations with Union and Left-Concatenation
  • 146
  • 10.2
  • Properties of Single Explicit Relations in One Variable
  • 149
  • 10.3
  • Solving Systems with Several Explicit Equations for One Variable
  • 151
  • 10.4
  • Assumed Background of the Reader
  • Solving Strictly Decoupled Systems
  • 159
  • 10.5
  • Solving General Decoupled Systems
  • 162
  • 11
  • Implicit Relations with Union and Left-Concatenation
  • 171
  • 11.1
  • Existence of Solutions
  • 9
  • 174
  • 11.2
  • Uniqueness of Solutions
  • 177
  • 12
  • Two-Sided Language Equations
  • 184
  • 13
  • Mixed Systems
  • 198
  • 1.1
  • 2
  • 13.1
  • Mixed Systems of Equations with Union and Left-Concatenation
  • 199
  • 13.2
  • Mixed Systems of Equations over a One-Letter Alphabet with Regular Constants and Union, Concatenation, and Star
  • 202
  • 14
  • Open Problems
  • 207
  • 14.1
  • Basic Definitions
  • Classification
  • 207
  • 14.2
  • The Cardinality of the Alphabet
  • 208
  • 14.3
  • The Class of Constant Languages
  • 209
  • 14.4
  • The Set of Operations Involved
  • 10
  • 209
  • 14.5
  • Two-Sided, Implicit, and Explicit Equations
  • 210
  • 14.6
  • Effectiveness of Constructions
  • 211
  • 2.1
  • The Alphabet
  • 10
  • 2.2
  • The Constant Languages
  • 11
  • 2.3
  • Arithmetic Equations
  • The Language Operations
  • 11
  • 2.4
  • The Variables
  • 13
  • 2.5
  • The Expressions
  • 13
  • 2.6
  • The Equations
  • 2
  • 15
  • 2.6.1
  • Two-Sided Equations
  • 16
  • 2.6.2
  • Explicit and Implicit Equations
  • 16
  • 2.7
  • The Relations
  • 17
  • 1.2
  • 3
  • Classical Language Equations and the Substitution Property
  • 21
  • 3.2
  • The Syntactic Solution Approach
  • 23
  • 3.3
  • The Substitution Property
  • 28
  • 3.4
  • Language Equations
  • Constructing Nondeterministic Finite Automata for the Solution Languages
  • 31
  • 3.5
  • A Note on Context-Free Grammars
  • 34
  • 4
  • Boolean Language Equations
  • 38
  • 4.1
  • Boolean Automata
  • 3
  • 39
  • 4.2
  • The & lambda;-Property and the Normal Form Theorem
  • 42
  • 4.3
  • The Uniqueness Criterion for Boolean Equations
  • 46
  • 4.4
  • Generalized Derivatives of Expressions
  • 47
  • 1.4
  • 4.5
  • Constructing a Boolean Automaton for the Solution of Boolean Equations
  • 50
  • 4.6
  • Boolean Equations with Multiple Solution
  • 60
  • 5
  • More on Generalized Derivatives
  • 64
  • 5.1
  • Nonlinear Equations
  • Derivatives and the & lambda;-Property
  • 64
  • 5.2
  • Existence and Uniqueness of Solutions
  • 69
  • 5.4
  • Techniques for Determining Whether a Word Is in a Solution
  • 75
  • 6
  • Star Equations
Dimensions
24 cm.
Extent
xvi, 216 pages
Isbn
9780387986265
Lccn
98031040
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
  • (OCoLC)39732968
  • (OCoLC)ocm39732968

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