9.2.1 Processing the User's Template Definitions 191

Total Page:16

File Type:pdf, Size:1020Kb

9.2.1 Processing the User's Template Definitions 191 Durham E-Theses Financial information extraction using pre-dened and user-denable templates in the Lolita system Constantino, Marco How to cite: Constantino, Marco (1997) Financial information extraction using pre-dened and user-denable templates in the Lolita system, Durham theses, Durham University. Available at Durham E-Theses Online: http://etheses.dur.ac.uk/5030/ Use policy The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that: • a full bibliographic reference is made to the original source • a link is made to the metadata record in Durham E-Theses • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders. Please consult the full Durham E-Theses policy for further details. Academic Support Oce, Durham University, University Oce, Old Elvet, Durham DH1 3HP e-mail: [email protected] Tel: +44 0191 334 6107 http://etheses.dur.ac.uk 2 University of Durham Financial Information Extraction using pre-defined and user-definable Templates in the LOLITA System. Marco Costantino Laboratory for Natural Language Engineering, Department of Computer Science. Submitted for the degree of Doctor of Philosophy ©1997, Marco Costantino The copyright of this thesis rests with the author. No quotation from it should be published without the written consent of the author and information derived from it should be acknowledged. 2 JUL 19.98 Abstract Financial operators have today access to an extremely large amount of data, both quantitative and qualitative, real-time or historical and can use this informa• tion to support their decision-making process. Quantitative data are largely processed by automatic computer programs, often based on artificial intelligence techniques, that produce quantitative analysis, such as historical price analysis oi: technical analysis of price behaviour. Differently, little progress has been made in the processing of qualitative data, which mainly consists of financial news articles from financial newspapers or on-line news providers. As a result the financial market players are overloaded with qualitative information which is potentially extremely useful but, due to the lack of time, is often ignored. The goal of this work is to reduce the quahtative data-overload of the financial operators. The research involves the identification of the information in the source financial articles which is relevant for the financial operators' investment decision making process and to implement the associated templates in the LOLITA system. The system should process a large number of source articles and extract specific templates according to the relevant information located in the source articles. The project also involves the design and implementation in LOLITA of a user- definable template interface for allowing the users to easily design new templates using sentences in natural language. This allows user-defined information extrac• tion from source texts. This differs from most of existing information extraction systems which require the developers to code the templates directly in the system. The results of the research have shown that the system performed well in the extraction of financial templates from source articles which would allow the finan• cial operator to reduce his qualitative data-overload. The results have also shown that the user-definable template interface is a viable approach to user-defined in• formation extraction. A trade-off has been identified between the ease of use of the user-definable template interface and the loss of performance compared to hand- coded templates. Acknowledgements I would like to thank my supervisor Richard G. Morgan for his advice and support throughout the three years over which this research has been conducted. I would also like to thank Russell J. CoUingham for his help-and support .and Stephen Eckett for his invaluable advice on the financial aspects of the thesis. I am also grateful for all past and present members of the Laboratory for Natural Language Engineering who have helped provide such a pleasant research and social environment. Thank you to all those people who commented on the various drafts of this thesis, particularly Luisa Mich and Luigi Colazzo. Financial assistance for this project was received from the Opera Universitaria Society of the University of Trento. I would also like to thank the department of Economics of the University of Trento for awarding me the University of Trento studentship for postgraduate studies abroad. I would also like to thank you all my friends who supported me during the these three years and, particularly, Edy, Mika, Marianna, Paolo, Wendy, Janice, Giacomo, Max, Xavier and Sergio. Finally I would like to thank my Mum for her support during my time at the University. Declaration The material contained within this thesis has not previously been submitted for a degree at the University of Durham or any other university. The research reported within this thesis has been conducted by the author unless indicated otherwise. The copyright of this thesis rests with the author. No quotation from it should be published without his prior written consent and information derived from it should be acknowledged. Contents 1 Methodological Introduction 1 1.1 Introduction 1 1.2 Traditional Natural Language Processing Approaches 4 1.2.1 Cognitive Science 4 1.2.2 Artificiallntelligence 5 1.2.3 Computational Linguistics 5 1.3 Natural Language Engineering 6 1.3.1 The General Philosophy of Natural Language Engineering . 6 1.3.2 Scale . '. 7 1.3.3 Robustness 7 1.3.4 Maintainabihty 8 1.3.5 Flexibility 8 1.3.6 Integration 8 1.3.7 Feasibihty 9 1.3.8 Usability 9 1.3.9 The use of a full range of techniques 10 1.3.10 Cost-Benefit Analysis 10 1.3.11 Motivation for Adopting the NLE Approach in finance ... 10 1.4 Methodological criteria for success 11 1.5 Context of this Work: the LOLITA project 12 1.6 Logical Progression of the Thesis 12 2 Finance and Financial Tools 14 2.1 Introduction 14 CONTENTS 2.2 Quantitative tools 19 2.2.1 Statistical and probabilistic techniques 20 2.2.2 Artificial Intelligence techniques 26 2.3 Integrating conventional and intelligent systems 34 2.4 Qualitative tools 35 3 Information retrieval and information extraction 40 3.1 Introduction 40 3.2 Information Retrieval 40 3.2.1 Statistical and Probabilistic approaches to the Information Retrieval 42 3.2.2 The Linguistic approach to information retrieval 47 3.2.3 Knowledge-based approaches (weak methods) 48 3.3 The TREC competitions 50 3.3.1 Tasks 51 3.3.2 Techniques 53 3.3.3 Evaluation metrics 53 3.4 Information Extraction : 56 3.4.1 The scripts / frames systems 59 3.5 The MUG competitions 64 3.5.1 The MUG Tasks 65 3.5.2 The main techniques employed 74 3.5.3 The evaluation of the MUG results 92 3.6 Information extraction in the financial domain 95 3.6.1 Automatic extraction of templates from source texts .... 99 3.7 User-definable template interfaces 99 3.8 Gonclusions 103 4 The LOLITA System 104 4.1 Introduction 104 4.2 Architecture of the system 105 4.2.1 The Semantic Network 105 CONTENTS vi 4.2.2 Syntactic analysis 109 4.2.3 Analysis of meaning Ill 4.2.4 Inference 116 4.2.5 Generation .117 4.3 LOLITA Applications , . .' 117 4.3.1 Analysis of Text 118 4.3.2 Query 118 4.3.3 Translation 118 4.3.4 Database front-end • • •. 118 4.3.5 Chinese tutoring ; 119 4.3.6 Extraction of Objects 119 4.3.7 Dialogue ' 119 4.3.8 Information Extraction • • •. 120 5 Information extraction in the LOLITA System 121 5.1 Introduction - 121 5.2 Architecture of the information extraction apphcation 121 5.3 The LOLITA templates 123 5.3.1 Types of slots 125 5.4 Types of templates available in the system 128 5.4.1 Concept-based templates 128 5.4.2 Summary templates 130. 5.4.3 Hyper templates 131 5.4.4 The MUC-6 templates 131 5.5 Advantages and disadvantages of the implementation 133 6 Definition of the financial templates 134 6.1 Introduction 134 6.2 Designing a financial information extraction system 134 .6.2.1 The type of system: real-time / batch 135 6.2.2 The information to be extracted (Task definition) 136 6.2.3 The .user interface 140 CONTENTS vii 6.3 The LOLITA financial information extraction system 140 6.3.1 The type of system 141 6.3.2 The information to be extracted 142 7 Implementation of the financial templates 148 7.1 Introduction 148 7.2 Defining the rules for the financial templates 148 7.2.1 Prototypes 150 7.2.2 Domain-specific knowledge 150 7.2.3 Unification 151 7.3 The takeover financial template 152 7.3.1 The takeover main-event 153 7.3.2 The takeover templates slots •. .• 161 8 Design of the user-definable template interface 171 8.1 Introduction 171 8.2 The user-definable template interface 171 8.2.1 The template interface environment 179 8.2.2 The template structure 180 8.2.3 The fill rules 184 9 Implementation of the user-definable template interface 191 9.1 ' Introduction 191 9.2 The user-definable template interface .' 191 9.2.1 Processing the user's template definitions 191 9.2.2 Producing templates using the inference system 199 10 Results and Evaluation . 210 10.1 Introduction 210 10.2 Evaluation of the definition and implementation of the financial tem• plates • 212 10.2.1 Evaluation of the financial templates 212 10.2.2 Evaluation of the performance of the financial templates .
Recommended publications
  • Ambiguity Detection Methods for Context-Free Grammars
    Ambiguity Detection Methods for Context-Free Grammars H.J.S. Basten Master’s thesis August 17, 2007 One Year Master Software Engineering Universiteit van Amsterdam Thesis and Internship Supervisor: Prof. Dr. P. Klint Institute: Centrum voor Wiskunde en Informatica Availability: public domain Contents Abstract 5 Preface 7 1 Introduction 9 1.1 Motivation . 9 1.2 Scope . 10 1.3 Criteria for practical usability . 11 1.4 Existing ambiguity detection methods . 12 1.5 Research questions . 13 1.6 Thesis overview . 14 2 Background and context 15 2.1 Grammars and languages . 15 2.2 Ambiguity in context-free grammars . 16 2.3 Ambiguity detection for context-free grammars . 18 3 Current ambiguity detection methods 19 3.1 Gorn . 19 3.2 Cheung and Uzgalis . 20 3.3 AMBER . 20 3.4 Jampana . 21 3.5 LR(k)test...................................... 22 3.6 Brabrand, Giegerich and Møller . 23 3.7 Schmitz . 24 3.8 Summary . 26 4 Research method 29 4.1 Measurements . 29 4.1.1 Accuracy . 29 4.1.2 Performance . 31 4.1.3 Termination . 31 4.1.4 Usefulness of the output . 31 4.2 Analysis . 33 4.2.1 Scalability . 33 4.2.2 Practical usability . 33 4.3 Investigated ADM implementations . 34 5 Analysis of AMBER 35 5.1 Accuracy . 35 5.2 Performance . 36 3 5.3 Termination . 37 5.4 Usefulness of the output . 38 5.5 Analysis . 38 6 Analysis of MSTA 41 6.1 Accuracy . 41 6.2 Performance . 41 6.3 Termination . 42 6.4 Usefulness of the output . 42 6.5 Analysis .
    [Show full text]
  • Context Free Languages and Pushdown Automata
    Context Free Languages and Pushdown Automata COMP2600 — Formal Methods for Software Engineering Ranald Clouston Australian National University Semester 2, 2013 COMP 2600 — Context Free Languages and Pushdown Automata 1 Parsing The process of parsing a program is partly about confirming that a given program is well-formed – syntax. But it is also about representing the structure of the program so that it can be executed – semantics. For this purpose, the trail of sentential forms created en route to generating a given sentence is just as important as the question of whether the sentence can be generated or not. COMP 2600 — Context Free Languages and Pushdown Automata 2 The Semantics of Parses Take the code if e1 then if e2 then s1 else s2 where e1, e2 are boolean expressions and s1, s2 are subprograms. Does this mean if e1 then( if e2 then s1 else s2) or if e1 then( if e2 else s1) else s2 We’d better have an unambiguous way to tell which is right, or we cannot know what the program will do at runtime! COMP 2600 — Context Free Languages and Pushdown Automata 3 Ambiguity Recall that we can present CFG derivations as parse trees. Until now this was mere pretty presentation; now it will become important. A context-free grammar G is unambiguous iff every string can be derived by at most one parse tree. G is ambiguous iff there exists any word w 2 L(G) derivable by more than one parse tree. COMP 2600 — Context Free Languages and Pushdown Automata 4 Example: If-Then and If-Then-Else Consider the CFG S ! if bexp then S j if bexp then S else S j prog where bexp and prog stand for boolean expressions and (if-statement free) programs respectively, defined elsewhere.
    [Show full text]
  • Topics in Context-Free Grammar CFG's
    Topics in Context-Free Grammar CFG’s HUSSEIN S. AL-SHEAKH 1 Outline Context-Free Grammar Ambiguous Grammars LL(1) Grammars Eliminating Useless Variables Removing Epsilon Nullable Symbols 2 Context-Free Grammar (CFG) Context-free grammars are powerful enough to describe the syntax of most programming languages; in fact, the syntax of most programming languages is specified using context-free grammars. In linguistics and computer science, a context-free grammar (CFG) is a formal grammar in which every production rule is of the form V → w Where V is a “non-terminal symbol” and w is a “string” consisting of terminals and/or non-terminals. The term "context-free" expresses the fact that the non-terminal V can always be replaced by w, regardless of the context in which it occurs. 3 Definition: Context-Free Grammars Definition 3.1.1 (A. Sudkamp book – Language and Machine 2ed Ed.) A context-free grammar is a quadruple (V, Z, P, S) where: V is a finite set of variables. E (the alphabet) is a finite set of terminal symbols. P is a finite set of rules (Ax). Where x is string of variables and terminals S is a distinguished element of V called the start symbol. The sets V and E are assumed to be disjoint. 4 Definition: Context-Free Languages A language L is context-free IF AND ONLY IF there is a grammar G with L=L(G) . 5 Example A context-free grammar G : S aSb S A derivation: S aSb aaSbb aabb L(G) {anbn : n 0} (((( )))) 6 Derivation Order 1.
    [Show full text]
  • Context Free Languages
    Context Free Languages COMP2600 — Formal Methods for Software Engineering Katya Lebedeva Australian National University Semester 2, 2016 Slides by Katya Lebedeva and Ranald Clouston. COMP 2600 — Context Free Languages 1 Ambiguity The definition of CF grammars allow for the possibility of having more than one structure for a given sentence. This ambiguity may make the meaning of a sentence unclear. A context-free grammar G is unambiguous iff every string can be derived by at most one parse tree. G is ambiguous iff there exists any word w 2 L(G) derivable by more than one parse trees. COMP 2600 — Context Free Languages 2 Dangling else Take the code if e1 then if e2 then s1 else s2 where e1, e2 are boolean expressions and s1, s2 are subprograms. Does this mean if e1 then( if e2 then s1 else s2) or if e1 then( if e2 then s1) else s2 The dangling else is a problem in computer programming in which an optional else clause in an “ifthen(else)” statement results in nested conditionals being ambiguous. COMP 2600 — Context Free Languages 3 This is a problem that often comes up in compiler construction, especially parsing. COMP 2600 — Context Free Languages 4 Inherently Ambiguous Languages Not all context-free languages can be given unambiguous grammars – some are inherently ambiguous. Consider the language L = faib jck j i = j or j = kg How do we know that this is context-free? First, notice that L = faibickg [ faib jc jg We then combine CFGs for each side of this union (a standard trick): S ! T j W T ! UV W ! XY U ! aUb j e X ! aX j e V ! cV j e Y ! bYc j e COMP 2600 — Context Free Languages 5 The problem with L is that its sub-languages faibickg and faib jc jg have a non-empty intersection.
    [Show full text]
  • Ambiguity Detection for Context-Free Grammars in Eli
    Fakultät für Elektrotechnik, Informatik und Mathematik Bachelor’s Thesis Ambiguity Detection for Context-Free Grammars in Eli Michael Kruse Student Id: 6284674 E-Mail: [email protected] Paderborn, 7th May, 2008 presented to Dr. Peter Pfahler Dr. Matthias Fischer Statement on Plagiarism and Academic Integrity I declare that all material in this is my own work except where there is clear acknowledgement or reference to the work of others. All material taken from other sources have been declared as such. This thesis as it is or in similar form has not been presented to any examination authority yet. Paderborn, 7th May, 2008 Michael Kruse iii iv Acknowledgement I especially whish to thank the following people for their support during the writing of this thesis: • Peter Pfahler for his work as advisor • Sylvain Schmitz for finding some major errors • Anders Møller for some interesting conversations • Ulf Schwekendiek for his help to understand Eli • Peter Kling and Tobias Müller for proofreading v vi Contents 1. Introduction1 2. Parsing Techniques5 2.1. Context-Free Grammars.........................5 2.2. LR(k)-Parsing...............................7 2.3. Generalised LR-Parsing......................... 11 3. Ambiguity Detection 15 3.1. Ambiguous Context-Free Grammars.................. 15 3.1.1. Ambiguity Approximation.................... 16 3.2. Ambiguity Checking with Language Approximations......... 16 3.2.1. Horizontal and Vertical Ambiguity............... 17 3.2.2. Approximation of Horizontal and Vertical Ambiguity..... 22 3.2.3. Approximation Using Regular Grammars........... 24 3.2.4. Regular Supersets........................ 26 3.3. Detection Schemes Based on Position Automata........... 26 3.3.1. Regular Unambiguity...................... 31 3.3.2.
    [Show full text]
  • Lecture 7-8 — Context-Free Grammars and Bottom-Up Parsing
    Lecture 7-8 | Context-free grammars and bottom-up parsing • Grammars and languages • Ambiguity and expression grammars • Parser generators • Bottom-up (shift/reduce) parsing • ocamlyacc example • Handling ambiguity in ocamlyacc CS 421 | Class 7{8, 2/7/12-2/9/12 | 1 Grammar for (almost) MiniJava Program -> ClassDeclList ClassDecl -> class id { VarDeclList MethodDeclList } VarDecl -> Type id ; MethodDecl -> Type id ( FormalList ) { VarDeclList StmtList return Exp ; } Formal -> Type id Type -> int [ ] | boolean | int | id Stmt -> { StmtList } | if ( Exp ) Stmt else Stmt | while ( Exp ) Stmt | System.out.println ( Exp ) ; | id = Exp ; | id [ Exp ] = Exp ; Exp -> Exp Op Exp | Exp [ Exp ] | Exp . length | Exp . id ( ExpList ) | integer | true | false | id | this | new int [ Exp ] | new id ( ) | ! Exp | ( Exp ) Op -> && | < | + | - | * ExpList -> Exp ExpRest | ExpRest -> , Exp ExpRest | FormalList -> Type id FormalRest | FormalRest -> , Type id FormalRest | ClassDeclList = ClassDeclList VarDecl | MethodDeclList = MethodDeclList MethodDecl | VarDeclList = VarDeclList VarDecl | StmtList = StmtList Stmt | CS 421 | Class 7{8, 2/7/12-2/9/12 | 2 Grammars and languages • E.g. program class C {int f () { return 0; }} has this parse tree: • Parser converts source file to parse tree. AST is easily calcu- lated from parse tree, or constructed while parsing (without explicitly constructing parse tree). CS 421 | Class 7{8, 2/7/12-2/9/12 | 3 Context-free grammar (cfg) notation • CFG is a set of productions A ! X1X2 :::Xn (n ≥ 0). If n = 0, we may write either
    [Show full text]
  • Principles of Programming Languages Lexics Vs. Syntax Vs. Semantics
    Software II: Principles of Programming Languages Lecture 3 – Formal Descriptions of a Programming Language Lexics vs. Syntax Vs. Semantics • Lexics refers to issues regarding the assembly of words that comprise a statement. • Syntax refers to issues regarding the grammar of a statement. • Semantics refers to issues regarding the meaning of a statement. Lexical Structure of Programming Languages • It was believed in the early days of programming language development that it was sufficient to be able specify the syntax of a programming language. We now know that this is not enough. • This led to the development of context-free grammars and Backus-Naur Form. Programming Language Syntax • Syntax is defined as “the arrangement of words as elements in a sentence to show their relationship.” • Syntax provides a great deal of information that we need to understand a program and to guide its translation. • Example 2 + 3 ´ 4 = 14 (not 20 – multiplication takes precedence) Programming Language Semantics • Semantics is defined as “the meaning of a symbol or set of symbols.” • This is equally important in translating a programming correctly and may be more difficult to express unambiguously. Tokens • The lexical structure of program consists of sequence of characters that are assembled into character strings called lexemes which have directly related to tokens, the element of a languages grammar to which they correspond. • Tokens fall into several distinct categories: – reserved words – literals or constants – special symbols such as < = + – identifiers, such as x24, average, balance Reserved Words and Standard Identifiers • Reserved words serve a special purpose within the syntax of a language; for this reason, they are generally not allowed to be used as user-defined identifiers.
    [Show full text]
  • Arxiv:1911.05672V2 [Cs.FL] 4 Feb 2020 Tax of a Language Must Be Defined [2,10,15,29,32]
    Resolvable Ambiguity? Viktor Palmkvist1, Elias Castegren1, Philipp Haller1, and David Broman1 KTH Royal Institute of Technology, 100 44 Stockholm, Sweden fvipa,eliasca,dbro,[email protected] Abstract. A common standpoint when designing the syntax of pro- gramming languages is that the grammar definition has to be unambigu- ous. However, requiring up front unambiguous grammars can force lan- guage designers to make more or less arbitrary choices to disambiguate the language. In this paper, we depart from the traditional view of un- ambiguous grammar design, and enable the detection of ambiguities to be delayed until parse time, allowing the user of the language to perform the disambiguation. A natural decision problem follows: given a language definition, can a user always disambiguate an ambiguous program? We introduce and formalize this fundamental problem|called the resolvable ambiguity problem|and divide it into separate static and dynamic re- solvability problems. We provide solutions to the static problem for a restricted language class and sketch proofs of soundness and complete- ness. We also provide a sound and complete solution to the dynamic problem for a much less restricted class of languages. The approach is evaluated through two separate case studies, covering both a large ex- isting programming language, and the composability of domain-specific languages. Keywords: Syntax · Ambiguity · Grammars · Parsing · Domain-specific languages 1 Introduction Ever since the early 60s, it has been known that determining whether a context- free grammar is ambiguous is undecidable [7]. As a consequence, a large number of restricted grammars have been developed to guarantee that language defi- nitions are unambiguous.
    [Show full text]
  • Recursive-Descent Parsing and Code Generation
    Top Down Parsing 1 Where We Are Source code if (b == 0) a = b; (character stream) Lexical Analysis Token if ( b == 0 ) a = b ; stream Syntax Analysis (Parsing) if Abstract Syntax == = Tree (AST) b 0 a b Semantic Analysis CS 412/413 Spring 2008 Introduction to Compilers 2 Outline • Inference rules for computing grammar properties • Top-down parsing • SLL(1) grammars • Recursive-descent parsing • Generating parsing tables for SLL(1) grammars Concepts you should know • Distinction between language and grammar – Language: set of strings over some alphabet – Grammar: a set of rules for generating the strings in a language – G: grammar, L(G): language generated by grammar • Recognition vs. parsing, given grammar G and word w – Recognition is decision problem - is w in L(G)? – Parsing: if w in L(G), show a derivation (proof) • Context-free grammar: 4-tuple – S: Start symbol – T: Terminals aka tokens (also written as Σ by some authors) – N: Non-terminals (also written as V) – P: Productions • Sentential forms and sentences – Sentential form: string that can be obtained by starting with S and using productions as rewrite rules to rewrite nonterminals – Sentence: sentential form without nonterminals (word in language) 4 Concepts you should know • Derivation of string using grammar – Start from S and repeatedly rewrite a nonterminal using the productions of the grammar until there are no nonterminals left – Leftmost/rightmost-derivation: rewrite only the leftmost/rightmost nonterminal at each step • Ambiguous grammar – Grammar in which there are
    [Show full text]
  • Analyzing Ambiguity of Context-Free Grammars
    Analyzing Ambiguity of Context-Free Grammars Claus Brabrand1, Robert Giegerich2, and Anders Møller1 1 Department of Computer Science, University of Aarhus, Denmark {brabrand,amoeller}@brics.dk 2 Practical Computer Science, Faculty of Technology, Bielefeld University, Germany [email protected] Abstract. It has been known since 1962 that the ambiguity problem for context-free grammars is undecidable. Ambiguity in context-free gram- mars is a recurring problem in language design and parser generation, as well as in applications where grammars are used as models of real-world physical structures. We observe that there is a simple linguistic characterization of the gram- mar ambiguity problem, and we show how to exploit this to conserva- tively approximate the problem based on local regular approximations and grammar unfoldings. As an application, we consider grammars that occur in RNA analysis in bioinformatics, and we demonstrate that our static analysis of context-free grammars is sufficiently precise and effi- cient to be practically useful. 1 Introduction When using context-free grammars to describe formal languages, one has to be aware of potential ambiguity in the grammars, that is, the situation where a string may be parsed in multiple ways, leading to different parse trees. We pro- pose a technique for detecting ambiguities in a given grammar. As the problem is in general undecidable [11] we resort to conservative approximation. This is much like, for example, building an LR(k) parse table for the given grammar and checking for conflicts. The analysis we propose has two significant advantages: 1. The LR(k) condition has since its discovery by Knuth in 1965 been known as a powerful test for unambiguity [13].
    [Show full text]
  • Analyzing Ambiguity of Context-Free Grammars
    BRICS RS-07-10 Brabrand et al.: Analyzing Ambiguity of Context-Free Grammars BRICS Basic Research in Computer Science Analyzing Ambiguity of Context-Free Grammars Claus Brabrand Robert Giegerich Anders Møller BRICS Report Series RS-07-10 ISSN 0909-0878 May 2007 Copyright c 2007, Claus Brabrand & Robert Giegerich & Anders Møller. BRICS, Department of Computer Science University of Aarhus. All rights reserved. Reproduction of all or part of this work is permitted for educational or research use on condition that this copyright notice is included in any copy. See back inner page for a list of recent BRICS Report Series publications. Copies may be obtained by contacting: BRICS Department of Computer Science University of Aarhus IT-parken, Aabogade 34 DK–8200 Aarhus N Denmark Telephone: +45 8942 9300 Telefax: +45 8942 5601 Internet: [email protected] BRICS publications are in general accessible through the World Wide Web and anonymous FTP through these URLs: http://www.brics.dk ftp://ftp.brics.dk This document in subdirectory RS/07/10/ Analyzing Ambiguity of Context-Free Grammars Claus Brabrand1, Robert Giegerich2, and Anders Møller1 1 Department of Computer Science, University of Aarhus, Denmark brabrand,amoeller @brics.dk 2 Practical Computer Science,{ Faculty of Technology,} Bielefeld University, Germany [email protected] Abstract. It has been known since 1962 that the ambiguity problem for context-free grammars is undecidable. Ambiguity in context-free gram- mars is a recurring problem in language design and parser generation, as well as in applications where grammars are used as models of real-world physical structures. We observe that there is a simple linguistic characterization of the gram- mar ambiguity problem, and we show how to exploit this to conserva- tively approximate the problem based on local regular approximations and grammar unfoldings.
    [Show full text]
  • Parsing Grammars
    Grammars Parsing A.k.a. Syntax Analysis Recognize sentences in a language. Discover the structure of a document/program. Construct (implicitly or explicitly) a tree (called as a parse tree) to represent the structure. The parse tree is used to guide translation. Compilers Parsing CSE 304/504 1 / 36 Grammars Grammars The syntactic structure of a language is defined using grammars. Grammars (like regular expressions) specify a set of strings over an alphabet. Efficient recognizers (automata) can be constructed to determine whether a string is in the language. Language heirarchy: Finite Languages (FL) Enumeration Regular Languages (RL ⊃ FL) Regular Expressions Context-Free Languages (CFL ⊃ RL) Context-Free Grammars Compilers Parsing CSE 304/504 2 / 36 Grammars Regular Languages Languages represented by Languages recognized ≡ regular expressions by finite automata Examples: p fa; b; cg p f, a; b; aa; ab; ba; bb;:::g p f(ab)n j n ≥ 0g ×f anbn j n ≥ 0g Compilers Parsing CSE 304/504 3 / 36 Grammars Context-Free Grammars Terminal Symbols: Tokens Nonterminal Symbols: set of strings made up of tokens Productions: Rules for constructing the set of strings associated with nonterminal symbols. Example: Stmt −! while Expr do Stmt Start symbol: a nonterminal symbol that represents the set of all strings in the language. Compilers Parsing CSE 304/504 4 / 36 Grammars Grammars Notation where recursion is explicit. Examples: f, a; b; aa; ab; ba; bb;:::g = L( (a j b)∗): E −! a Notational shorthand: E −! b E −! a j b S −! S −! j ES S −! ES fanbn j n ≥ 0g : S −! S −! aSb fw j no.
    [Show full text]