Holdings: Dynamic Epistemic Logic

Dynamic Epistemic Logic:

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Bibliographic Details
Main Authors:	Ditmarsch, Hans van 1959- (Author), Hoek, Wiebe van der (Author), Kooi, Barteld (Author)
Format:	Book
Language:	English
Published:	Dordrecht Springer 2007
Series:	Synthese Library 337
Subjects:	Connaissance, Théorie de la Logique Logique épistémique - Modèles mathématiques Épistémique Epistemics Logic Epistemische Logik Dynamische Logik
Online Access:	Inhaltsverzeichnis
Physical Description:	282 S.
ISBN:	9781402058387

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MARC


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Record in the Search Index

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adam_text	CONTENTS PREFACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. IX 1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 EPISTEMIC AND DOXASTIC LOGIC . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 2 1.2 DYNAMIC EPISTEMIC LOGIC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 3 1.3 INFORMATION, BELIEF, AND KNOWLEDGE . . . . . . . . . . . . . . . . . . . . . . .. 5 2 EPISTEMIC LOGIC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 11 2.1 INTRODUCTION............................................ 11 2.2 BASIC SYSTEM: 85 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 11 2.2.1 LANGUAGE......................................... 12 2.2.2 SEMANTICS........................................ 16 2.2.3 AXIOMATISATION.................................... 25 2.3 GROUP NOTIONS OF KNOWLEDGE. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 30 2.3.1 LANGUAGE 30 2.3.2 SEMANTICS........................................ 33 2.3.3 AXIOMATISATION.................................... 37 2.4 LOGICS FOR BELIEF. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 38 2.5 NOTES.................................................. 40 3 BELIEF REVISION 43 3.1 INTRODUCTION............................................ 43 3.2 THE AGM-APPROACH 44 3.2.1 EXPANSION........................................ 45 3.2.2 CONTRACTION....................................... 47 3.2.3 REVISION......................................... 50 3.2.4 CHARACTERISATION RESULTS 52 3.3 POSSIBLE WORLDS SEMANTICS FOR INFORMATION CHANGE. . . . . . . . . .. 55 3.4 PARADOXES OF INTROSPECTIVE BELIEF CHANGE . . . . . . . . . . . . . . . . . .. 58 3.5 DYNAMIC DOXASTIC LOGIC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 63 3.6 NOTES.................................................. 65 V VI CONTENTS 4 PUBLIE ANNOUNEEMENTS 67 4.1 INTRODUCTION............................................ 67 4.2 EXAMPLES............................................... 68 4.3 SYNTAX................................................. 72 4.4 SEMANTICS.............................................. 74 4.5 PRINCIPLES OF PUBLIC ANNOUNCEMENT LOGIC . . . . . . . . . . . . . . . . . .. 77 4.6 ANNOUNCEMENT AND COMMON KNOWLEDGE 81 4.7 UNSUCCESSFUL UPDATES 84 4.8 AXIOMATISATION.......................................... 88 4.8.1 PUBLIC ANNOUNCEMENT LOGIC WITHOUT COMMON KNOWLEDGE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 88 4.8.2 PUBLIC ANNOUNCEMENT LOGIC . . . . . . . . . . . . . . . . . . . . . . .. 90 4.9 KNOWLEDGE AND BELIEF 91 4.10 MUDDY CHILDREN 93 4.11 SUM AND PRODUCT 96 4.12 RUSSIAN CARDS 97 4.13 NOTES 104 5 EPISTEMIC AETIONS 109 5.1 INTRODUCTION 109 5.2 SYNTAX 112 5.3 SEMANTICS 115 5.3.1 BASIC DEFINITIONS 115 5.3.2 EXAMPLE OF EPISTEMIC ACTION SEMANTICS 118 5.3.3 SEMANTIC PROPERTIES 120 5.3.4 DETERMINISTIC AND NON-DETERMINISTIC ACTIONS 122 5.3.5 VALID PROPERTIES OF THE LOGIC 124 5.4 CARD GAME ACTIONS 126 5.4.1 DEALING AND PICKING UP CARDS 127 5.4.2 GAME ACTIONS IN HEXA 127 5.4.3 KNOWLEDGE GAMES 132 5.4.4 DIFFERENT CARDS 133 5.5 SPREADING GOSSIP 134 5.6 NOTES 137 6 ACTION MODELS 141 6.1 INTRODUCTION 141 6.1.1 SYNTAX OR SEMANTICS? 145 6.1.2 ACTION MODELS AS SYNTACTIC OBJECTS 146 6.1.3 ACTION MODELS AS SEMANTIC OBJECTS 148 6.1.4 CONCLUDING 148 6.2 ACTION MODELS 149 6.3 SYNTAX OF ACTION MODEL LOGIC 149 6.4 SEMANTICS OF ACTION MODEL LOGIC 151 6.5 BISIMILARITY AND ACTION EMULATION 157 CONTENTS VII 6.6 VALIDITIES AND AXIOMATISATION 162 6.7 EPISTEMIC MODEL CHECKING 166 6.8 RELATIONAL ACTIONS AND ACTION MODELS 170 6.9 PRIVATE ANNOUNCEMENTS 173 6.10 NOTES 174 7 COMPLETENESS 177 7.1 INTRODUCTION 177 7.2 85: THE BASIC CASE 178 7.3 85C: DEALING WITH NON-COMPACTNESS 182 7.4 PA: COMPLETENESS BY TRANSLATION 186 7.5 PAC: INDUCTION ON COMPLEXITY 189 7.6 AM: TRANSLATING ACTION MODELS .. 194 7.7 AMC: GENERALISING THE PROOF FOR PAC 196 7.8 RELATIVISED COMMON KNOWLEDGE 201 7.8.1 LANGUAGE, SEMANTICS, AND COMPLETENESS 201 7.8.2 ADDING PUBLIC ANNOUNCEMENTS 205 7.9 NOTES 208 8 EXPRESSIVITY 211 8.1 INTRODUCTION 211 8.2 BASIC CONCEPTS 212 8.3 BISIMULATION 215 8.3.1 COUNTABLY MANY ATOMS 216 8.3.2 HEDGEHOGS 217 8.4 GAMES 220 8.5 85 224 8.5.1 SINGLE-AGENT 85 224 8.5.2 MULTI-AGENT 85 225 8.6 85C 227 8.7 PA 230 8.8 PAC 231 8.8.1 HAIRPINS 231 8.9 NON-DETERMINISTIC CHOICE 235 8.10 AM 237 8.11 RELATIVISED COMMON KNOWLEDGE 237 8.12 NOTES 241 ASELEETED ANSWERS TO EXERCISES 243 REFERENEES 265 INDEX 277
adam_txt	CONTENTS PREFACE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IX 1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 EPISTEMIC AND DOXASTIC LOGIC . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2 DYNAMIC EPISTEMIC LOGIC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 INFORMATION, BELIEF, AND KNOWLEDGE . . . . . . . . . . . . . . . . . . . . . . . 5 2 EPISTEMIC LOGIC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.1 INTRODUCTION. 11 2.2 BASIC SYSTEM: 85 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2.1 LANGUAGE. 12 2.2.2 SEMANTICS. 16 2.2.3 AXIOMATISATION. 25 2.3 GROUP NOTIONS OF KNOWLEDGE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.3.1 LANGUAGE 30 2.3.2 SEMANTICS. 33 2.3.3 AXIOMATISATION. 37 2.4 LOGICS FOR BELIEF. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 2.5 NOTES. 40 3 BELIEF REVISION 43 3.1 INTRODUCTION. 43 3.2 THE AGM-APPROACH 44 3.2.1 EXPANSION. 45 3.2.2 CONTRACTION. 47 3.2.3 REVISION. 50 3.2.4 CHARACTERISATION RESULTS 52 3.3 POSSIBLE WORLDS SEMANTICS FOR INFORMATION CHANGE. . . . . . . . . . 55 3.4 PARADOXES OF INTROSPECTIVE BELIEF CHANGE . . . . . . . . . . . . . . . . . . 58 3.5 DYNAMIC DOXASTIC LOGIC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 3.6 NOTES. 65 V VI CONTENTS 4 PUBLIE ANNOUNEEMENTS 67 4.1 INTRODUCTION. 67 4.2 EXAMPLES. 68 4.3 SYNTAX. 72 4.4 SEMANTICS. 74 4.5 PRINCIPLES OF PUBLIC ANNOUNCEMENT LOGIC . . . . . . . . . . . . . . . . . . 77 4.6 ANNOUNCEMENT AND COMMON KNOWLEDGE 81 4.7 UNSUCCESSFUL UPDATES 84 4.8 AXIOMATISATION. 88 4.8.1 PUBLIC ANNOUNCEMENT LOGIC WITHOUT COMMON KNOWLEDGE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 4.8.2 PUBLIC ANNOUNCEMENT LOGIC . . . . . . . . . . . . . . . . . . . . . . . 90 4.9 KNOWLEDGE AND BELIEF 91 4.10 MUDDY CHILDREN 93 4.11 SUM AND PRODUCT 96 4.12 RUSSIAN CARDS 97 4.13 NOTES 104 5 EPISTEMIC AETIONS 109 5.1 INTRODUCTION 109 5.2 SYNTAX 112 5.3 SEMANTICS 115 5.3.1 BASIC DEFINITIONS 115 5.3.2 EXAMPLE OF EPISTEMIC ACTION SEMANTICS 118 5.3.3 SEMANTIC PROPERTIES 120 5.3.4 DETERMINISTIC AND NON-DETERMINISTIC ACTIONS 122 5.3.5 VALID PROPERTIES OF THE LOGIC 124 5.4 CARD GAME ACTIONS 126 5.4.1 DEALING AND PICKING UP CARDS 127 5.4.2 GAME ACTIONS IN HEXA 127 5.4.3 KNOWLEDGE GAMES 132 5.4.4 DIFFERENT CARDS 133 5.5 SPREADING GOSSIP 134 5.6 NOTES 137 6 ACTION MODELS 141 6.1 INTRODUCTION 141 6.1.1 SYNTAX OR SEMANTICS? 145 6.1.2 ACTION MODELS AS SYNTACTIC OBJECTS 146 6.1.3 ACTION MODELS AS SEMANTIC OBJECTS 148 6.1.4 CONCLUDING 148 6.2 ACTION MODELS 149 6.3 SYNTAX OF ACTION MODEL LOGIC 149 6.4 SEMANTICS OF ACTION MODEL LOGIC 151 6.5 BISIMILARITY AND ACTION EMULATION 157 CONTENTS VII 6.6 VALIDITIES AND AXIOMATISATION 162 6.7 EPISTEMIC MODEL CHECKING 166 6.8 RELATIONAL ACTIONS AND ACTION MODELS 170 6.9 PRIVATE ANNOUNCEMENTS 173 6.10 NOTES 174 7 COMPLETENESS 177 7.1 INTRODUCTION 177 7.2 85: THE BASIC CASE 178 7.3 85C: DEALING WITH NON-COMPACTNESS 182 7.4 PA: COMPLETENESS BY TRANSLATION 186 7.5 PAC: INDUCTION ON COMPLEXITY 189 7.6 AM: TRANSLATING ACTION MODELS . " 194 7.7 AMC: GENERALISING THE PROOF FOR PAC 196 7.8 RELATIVISED COMMON KNOWLEDGE 201 7.8.1 LANGUAGE, SEMANTICS, AND COMPLETENESS 201 7.8.2 ADDING PUBLIC ANNOUNCEMENTS 205 7.9 NOTES 208 8 EXPRESSIVITY 211 8.1 INTRODUCTION 211 8.2 BASIC CONCEPTS 212 8.3 BISIMULATION 215 8.3.1 COUNTABLY MANY ATOMS 216 8.3.2 HEDGEHOGS 217 8.4 GAMES 220 8.5 85 224 8.5.1 SINGLE-AGENT 85 224 8.5.2 MULTI-AGENT 85 225 8.6 85C 227 8.7 PA 230 8.8 PAC 231 8.8.1 HAIRPINS 231 8.9 NON-DETERMINISTIC CHOICE 235 8.10 AM 237 8.11 RELATIVISED COMMON KNOWLEDGE 237 8.12 NOTES 241 ASELEETED ANSWERS TO EXERCISES 243 REFERENEES 265 INDEX 277
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spelling	Ditmarsch, Hans van 1959- Verfasser (DE-588)133419703 aut Dynamic Epistemic Logic by Hans van Ditmarsch ; Wiebe van der Hoek ; Barteld Kooi Dordrecht Springer 2007 282 S. txt rdacontent n rdamedia nc rdacarrier Synthese Library 337 Connaissance, Théorie de la Logique Logique épistémique - Modèles mathématiques ram Épistémique Epistemics Logic Epistemische Logik (DE-588)4152538-3 gnd rswk-swf Dynamische Logik (DE-588)4637784-0 gnd rswk-swf Dynamische Logik (DE-588)4637784-0 s Epistemische Logik (DE-588)4152538-3 s DE-604 Hoek, Wiebe van der Verfasser (DE-588)123196957 aut Kooi, Barteld Verfasser aut Synthese Library 337 (DE-604)BV000005044 337 V:DE-604 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015613541&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Ditmarsch, Hans van 1959- Hoek, Wiebe van der Kooi, Barteld Dynamic Epistemic Logic Synthese Library Connaissance, Théorie de la Logique Logique épistémique - Modèles mathématiques ram Épistémique Epistemics Logic Epistemische Logik (DE-588)4152538-3 gnd Dynamische Logik (DE-588)4637784-0 gnd
subject_GND	(DE-588)4152538-3 (DE-588)4637784-0
title	Dynamic Epistemic Logic
title_auth	Dynamic Epistemic Logic
title_exact_search	Dynamic Epistemic Logic
title_exact_search_txtP	Dynamic Epistemic Logic
title_full	Dynamic Epistemic Logic by Hans van Ditmarsch ; Wiebe van der Hoek ; Barteld Kooi
title_fullStr	Dynamic Epistemic Logic by Hans van Ditmarsch ; Wiebe van der Hoek ; Barteld Kooi
title_full_unstemmed	Dynamic Epistemic Logic by Hans van Ditmarsch ; Wiebe van der Hoek ; Barteld Kooi
title_short	Dynamic Epistemic Logic
title_sort	dynamic epistemic logic
topic	Connaissance, Théorie de la Logique Logique épistémique - Modèles mathématiques ram Épistémique Epistemics Logic Epistemische Logik (DE-588)4152538-3 gnd Dynamische Logik (DE-588)4637784-0 gnd
topic_facet	Connaissance, Théorie de la Logique Logique épistémique - Modèles mathématiques Épistémique Epistemics Logic Epistemische Logik Dynamische Logik
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work_keys_str_mv	AT ditmarschhansvan dynamicepistemiclogic AT hoekwiebevander dynamicepistemiclogic AT kooibarteld dynamicepistemiclogic

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