Logical Tools for Modelling Legal Argument
A Study of Defeasible Reasoning in Law
By: H. Prakken
Hardcover | 31 October 1997
At a Glance
332 Pages
Revised
23.39 x 15.6 x 1.91
Hardcover
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Industry Reviews
Ronald P. Loui, Artificial Intelligence and Law, 3 (1995)
`... Prakken has written the best current text with which the interested logician can quickly study the main surviving applicable ideas of non-monotonic reasoning and can glimpse the themes that are shaping current research in defeasible reasoning.'
The Journal of Symbolic Logic, 64:4 (1999)
Preface | p. xi |
Introduction | p. 1 |
AI, Logic and Legal Reasoning: Some General Remarks | p. 1 |
An Overview | p. 1 |
Artificial Intelligence | p. 2 |
Computable Aspects of Legal Reasoning | p. 5 |
The Role of Logic | p. 6 |
The Focus of Research | p. 7 |
Logic and AI | p. 8 |
The Declarative vs. Procedural Debate | p. 8 |
Logics and Programming Systems | p. 9 |
Logic and Reasoning | p. 11 |
Points of Departure | p. 12 |
The Structure of this Book | p. 13 |
The Role of Logic in Legal Reasoning | p. 15 |
Three Misunderstandings about Logic | p. 16 |
'To Formalize is to Define Completely' | p. 16 |
'Formalization Leaves No Room for Interpretation' | p. 17 |
'Logic Excludes Nondeductive Modes of Reasoning' | p. 18 |
The 'Deductivist Fallacy' | p. 18 |
'Naive Deductivism' | p. 19 |
The Criticism | p. 20 |
The Misunderstanding | p. 23 |
The Merits of the Criticism | p. 25 |
Noninferential Reasoning with Logical Tools | p. 26 |
Rule-based and Case-based Reasoning | p. 30 |
Summary | p. 31 |
The Need for New Logical Tools | p. 33 |
The Separation of Rules and Exceptions in Legislation | p. 34 |
Terminology | p. 35 |
Examples | p. 36 |
Formalizations in Standard Logic | p. 37 |
Nonstandard Methods | p. 41 |
Defeasibility of Legal Rules | p. 47 |
Open Texture | p. 49 |
Classification Problems | p. 50 |
Defeasibility of Legal Concepts | p. 52 |
Vagueness | p. 54 |
Which Nonstandard Techniques are Needed? | p. 55 |
Reasoning with Inconsistent Information | p. 55 |
Nonmonotonic Reasoning | p. 56 |
AI-and-law Programs with Nonstandard Features | p. 61 |
The Law as Logic Programs | p. 61 |
Taxman II | p. 61 |
Gardner's Program | p. 62 |
Cabaret | p. 63 |
Logics for Nonmonotonic Reasoning | p. 67 |
Nonmonotonic Logics | p. 68 |
Consistency-based Approaches | p. 68 |
Autoepistemic Logic | p. 73 |
Minimization | p. 76 |
Conditional Approaches | p. 87 |
Inconsistency Handling | p. 89 |
General Issues | p. 93 |
Preferential Entailment | p. 93 |
Properties of Consequence Notions | p. 94 |
Connections | p. 96 |
Truth Maintenance Systems | p. 97 |
Objections to Nonmonotonic Logics | p. 97 |
'Logic is Monotonic' | p. 97 |
Intractability | p. 99 |
Representing Explicit Exceptions | p. 101 |
Introduction | p. 102 |
Methods of Representing Rules and Exceptions | p. 102 |
Kinds of Exceptions | p. 102 |
Requirements for Representing Rules and Exceptions | p. 103 |
Default Logic | p. 105 |
Specific Exception Clauses | p. 106 |
General Exception Clauses | p. 107 |
Evaluation | p. 111 |
Circumscription | p. 112 |
Poole's Framework for Default Reasoning | p. 117 |
Logic-programming's Negation as Failure | p. 120 |
Specific Exception Clauses | p. 121 |
General Exception Clauses | p. 122 |
Logic Programs with Classical Negation | p. 125 |
Summary | p. 129 |
Evaluation | p. 129 |
A Formalization Methodology | p. 130 |
Directionality of Defaults | p. 134 |
Contrapositive Inferences | p. 135 |
Assessment of the Exception Clause Approach | p. 136 |
Preferring the Most Specific Argument | p. 141 |
Introduction | p. 141 |
Poole: Preferring the Most Specific Explanation | p. 143 |
Problems | p. 148 |
Some Possible Facts are Irrelevant | p. 148 |
Multiple Conflicts Ignored | p. 149 |
Defaults Cannot be Represented in Standard Logic | p. 150 |
A System for Constructing and Comparing Arguments | p. 151 |
General Remarks | p. 151 |
The Underlying Logical Language | p. 152 |
Arguments | p. 154 |
Conflicts Between Arguments | p. 156 |
Comparing Arguments | p. 158 |
Informal Summary | p. 163 |
The Assessment of Arguments | p. 163 |
The General Idea | p. 163 |
The Dialogue Game Defined | p. 166 |
Illustrations | p. 170 |
Combining Priorities and Exception Clauses | p. 172 |
Extending the System | p. 172 |
Illustrations | p. 175 |
Evaluation | p. 177 |
Reasoning with Inconsistent Information | p. 179 |
Introduction | p. 179 |
Existing Formalizations of Inconsistency Tolerant Reasoning | p. 180 |
Alchourron and Makinson (1981) | p. 181 |
Belief Revision Approaches | p. 183 |
Brewka's Preferred-subtheories Approach | p. 187 |
Diagnosis | p. 188 |
Hierarchical Defeat | p. 191 |
General Features of the System | p. 193 |
Properties of the Consequence Notion | p. 193 |
Sceptical and Credulous Reasoning | p. 195 |
Floating Conclusions | p. 196 |
Accrual of Agreements | p. 198 |
Conclusion | p. 200 |
Reasoning About Priority Relations | p. 203 |
Introduction | p. 203 |
Legal Issues | p. 204 |
Legal Collision Rules | p. 204 |
Requirements for a Formal Analysis | p. 205 |
Extending the Definitions | p. 206 |
A Formalization Methodology | p. 210 |
Examples | p. 212 |
An Alternative Method | p. 217 |
Systems for Defeasible Argumentation | p. 219 |
Argumentation Systems | p. 219 |
Some Argumentation Systems | p. 221 |
The Bondarenko-Dung-Kowalski-Toni Approach | p. 221 |
Pollock | p. 226 |
Lin and Shoham | p. 229 |
Vreeswijk's Abstract Argumentation Systems | p. 230 |
Nute's Defeasible Logic | p. 232 |
Simari and Loui | p. 235 |
Geffner and Pearl's Conditional Entailment | p. 235 |
General Comparison | p. 237 |
Other Relevant Research | p. 238 |
Brewka's Later Work | p. 238 |
Reason-based Logic | p. 240 |
Using the Argumentation System | p. 249 |
A Comparison of the Methods for Representing Exceptions | p. 249 |
Implementational Concerns | p. 253 |
Applications | p. 255 |
Toulmin on the Structure of Arguments | p. 255 |
The System as a Tool in Reasoning | p. 256 |
A Logical Analysis of Some Implemented Systems | p. 258 |
Gardner's Program | p. 258 |
Cabaret | p. 261 |
Applications of Logic Metaprogramming | p. 262 |
Freeman and Farley's Dart System | p. 263 |
The Pleadings Game | p. 264 |
Four Layers in Legal Argumentation | p. 270 |
Conclusion | p. 275 |
Summary | p. 275 |
Main Results | p. 276 |
Implications for Other Issues | p. 281 |
Suggestions for Further Research | p. 284 |
Notations, Orderings and Glossary | p. 287 |
General Symbols and Notations | p. 287 |
Ordering Relations | p. 288 |
Notions of the Argumentation System of Chapters 6-8 | p. 289 |
Glossary | p. 289 |
References | p. 293 |
Index | p. 303 |
Table of Contents provided by Syndetics. All Rights Reserved. |
ISBN: 9780792347767
ISBN-10: 0792347765
Series: Law and Philosophy Library
Published: 31st October 1997
Format: Hardcover
Language: English
Number of Pages: 332
Audience: General Adult
Publisher: Springer Nature B.V.
Country of Publication: NL
Edition Type: Revised
Dimensions (cm): 23.39 x 15.6 x 1.91
Weight (kg): 0.64
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