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Parsing Techniques:A Practical Guide

Parsing Techniques:A Practical Guide 英文版<br>(PDF文件)<br>解析(语法分析)是计算机科学应用最广泛的分支之一,解析器在编译,数据库接口,自述数据,人工智能等方面有极广阔的应用,还有语言学(文本分析,主题分析,机器翻译),文档处理,生物、化学公式排版等也需要用到解析技术,但目前这方面的书籍还不多,也许是解析技术确实有点难吧。
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PARSING
TECHNIQUES
A Practical Guide
DICK GRUNE
CERIEL JACOBS
both of Department of Mathematics and Computer Science
Vrije Universiteit, Amsterdam, The Netherlands
Printout by the Authors
Vrije Universiteit, Amsterdam, The Netherlands

First published in 1990 by
ELLIS HORWOOD LIMITED
Market Cross House, Cooper Street
Chichester, West Sussex, PO19 1EB, England
ISBN 0-13-651431-6
© 1990-1994 Ellis Horwood Limited
© 1995- Dick Grune & Ceriel J. Jacobs
Minor corrections, September 1997, September 1998

Table of contents
Preface ........................................................ 11
1 Introduction
.............................................. 13
1.1 Parsing as a craft
......................................... 14
1.2 The approach used
........................................ 14
1.3 Outline of the contents
..................................... 15
1.4 The annotated bibliography
................................. 15
2 Grammars as a generating device
.............................. 16
2.1 Languages as infinite sets
................................... 16
2.1.1 Language
............................................ 16
2.1.2 Grammars
........................................... 17
2.1.3 Problems
............................................ 18
2.1.4 Describing a language through a finite recipe
................. 22
2.2 Formal grammars
........................................ 24
2.2.1 Generating sentences from a formal grammar
................. 25
2.2.2 The expressive power of formal grammars
................... 27
2.3 The Chomsky hierarchy of grammars and languages
............... 28
2.3.1 Type 1 grammars
...................................... 28
2.3.2 Type 2 grammars
...................................... 32
2.3.3 Type 3 grammars
...................................... 37
2.3.4 Type 4 grammars
...................................... 40
2.4 VW grammars
........................................... 41
2.4.1 The human inadequacy of CS and PS grammars
............... 41
2.4.2 VW grammars
........................................
42
2.4.3 Infinite symbol sets
.................................... 45
2.4.4 BNF notation for VW grammars
........................... 45
2.4.5 Affix grammars
.......................................
46
2.5 Actually generating sentences from a grammar
................... 47
2.5.1 The general case
...................................... 47
2.5.2 The CF case
.......................................... 49
2.6 To shrink or not to shrink
................................... 51

2.7 A characterization of the limitations of CF and FS grammars ........ 54
2.7.1 The uvwxy theorem
.................................... 54
2.7.2 The uvw theorem
...................................... 56
2.8 Hygiene in grammars
...................................... 56
2.8.1 Undefined non-terminals
................................ 56
2.8.2 Unused non-terminals
.................................. 57
2.8.3 Non-productive non-terminals
............................ 57
2.8.4 Loops
.............................................. 57
2.9 The semantic connection
................................... 57
2.9.1 Attribute grammars
.................................... 58
2.9.2 Transduction grammars
................................. 59
2.10 A metaphorical comparison of grammar types
................... 60
3 Introduction to parsing
...................................... 62
3.1 Various kinds of ambiguity
................................. 62
3.2 Linearization of the parse tree
............................... 64
3.3 Two ways to parse a sentence
................................ 64
3.3.1 Top-down parsing
..................................... 65
3.3.2 Bottom-up parsing
..................................... 66
3.3.3 Applicability
......................................... 67
3.4 Non-deterministic automata
.................................
68
3.4.1 Constructing the NDA
.................................. 69
3.4.2 Constructing the control mechanism
........................ 69
3.5 Recognition and parsing for Type 0 to Type 4 grammars
............ 70
3.5.1 Time requirements
..................................... 70
3.5.2 Type 0 and Type 1 grammars
............................. 70
3.5.3 Type 2 grammars
...................................... 72
3.5.4 Type 3 grammars
...................................... 73
3.5.5 Type 4 grammars
...................................... 74
3.6 An overview of parsing methods
............................. 74
3.6.1 Directionality
......................................... 74
3.6.2 Search techniques
..................................... 75
3.6.3 General directional methods
.............................. 76
3.6.4 Linear methods
....................................... 76
3.6.5 Linear top-down and bottom-up methods
.................... 78
3.6.6 Almost deterministic methods
............................ 79
3.6.7 Left-corner parsing
.................................... 79
3.6.8 Conclusion
........................................... 79
4 General non-directional methods
..............................
81
4.1 Unger’s parsing method
.................................... 82
4.1.1 Unger’s method without ε-rules or loops
..................... 82
4.1.2 Unger’s method with ε-rules
..............................
85
4.2 The CYK parsing method
.................................. 88
4.2.1 CYK recognition with general CF grammars
.................. 89
4.2.2 CYK recognition with a grammar in Chomsky Normal Form
...... 92
4.2.3 Transforming a CF grammar into Chomsky Normal Form
........ 94

4.2.4 The example revisited .................................. 99
4.2.5 CYK parsing with Chomsky Normal Form
................... 99
4.2.6 Undoing the effect of the CNF transformation
................ 101
4.2.7 A short retrospective of CYK
............................ 104
4.2.8 Chart parsing
........................................ 105
5 Regular grammars and finite-state automata
.................... 106
5.1 Applications of regular grammars
............................ 106
5.1.1 CF parsing
.......................................... 106
5.1.2 Systems with finite memory
............................. 107
5.1.3 Pattern searching
..................................... 108
5.2 Producing from a regular grammar
........................... 109
5.3 Parsing with a regular grammar
............................. 110
5.3.1 Replacing sets by states
................................ 111
5.3.2 Non-standard notation
................................. 113
5.3.3 DFA’s from regular expressions
.......................... 114
5.3.4 Fast text search using finite-state automata
.................. 116
6 General directional top-down methods
......................... 119
6.1 Imitating left-most productions
............................. 119
6.2 The pushdown automaton
................................. 121
6.3 Breadth-first top-down parsing
.............................. 125
6.3.1 An example
......................................... 125
6.3.2 A counterexample: left-recursion
......................... 127
6.4 Eliminating left-recursion
................................. 128
6.5 Depth-first (backtracking) parsers
........................... 130
6.6 Recursive descent
....................................... 131
6.6.1 A naive approach
..................................... 133
6.6.2 Exhaustive backtracking recursive descent
.................. 136
6.7 Definite Clause grammars
................................. 139
7 General bottom-up parsing
.................................. 144
7.1 Parsing by searching
..................................... 146
7.1.1 Depth-first (backtracking) parsing
........................ 146
7.1.2 Breadth-first (on-line) parsing
........................... 147
7.1.3 A combined representation
.............................. 148
7.1.4 A slightly more realistic example
......................... 148
7.2 Top-down restricted breadth-first bottom-up parsing
.............. 149
7.2.1 The Earley parser without look-ahead
......................
149
7.2.2 The relation between the Earley and CYK algorithms
..........
155
7.2.3 Ambiguous sentences
.................................. 156
7.2.4 Handling ε-rules
..................................... 157
7.2.5 Prediction look-ahead
..................................
159
7.2.6 Reduction look-ahead
.................................. 161
8 Deterministic top-down methods
............................. 164
8.1 Replacing search by table look-up
........................... 165
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