Nonmonotonic logics: basic concepts, results, and techniques
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1997
|
| Series: | Lecture notes in computer science
1187 : Lecture notes in artificial intelligence |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 243 S. graph. Darst. |
| ISBN: | 3540624821 |
Staff View
MARC
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| 100 | 1 | |a Schlechta, Karl |d 1948- |e Verfasser |0 (DE-588)134172809 |4 aut | |
| 245 | 1 | 0 | |a Nonmonotonic logics |b basic concepts, results, and techniques |c Karl Schlechta |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1997 | |
| 300 | |a IX, 243 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in computer science |v 1187 : Lecture notes in artificial intelligence | |
| 650 | 7 | |a Inteligencia artificial |2 larpcal | |
| 650 | 4 | |a Intelligence artificielle | |
| 650 | 7 | |a Intelligence artificielle |2 ram | |
| 650 | 7 | |a Logica |2 gtt | |
| 650 | 4 | |a Logique | |
| 650 | 7 | |a Logique |2 ram | |
| 650 | 7 | |a Monotonie (wiskunde) |2 gtt | |
| 650 | 4 | |a Raisonnement non-monotone | |
| 650 | 4 | |a Raisonnement par défaut | |
| 650 | 7 | |a Raisonnement |2 ram | |
| 650 | 7 | |a logique non monotone |2 inriac | |
| 650 | 7 | |a raisonnement non monotone |2 inriac | |
| 650 | 4 | |a Künstliche Intelligenz | |
| 650 | 4 | |a Logik | |
| 650 | 4 | |a Default reasoning | |
| 650 | 4 | |a Logic | |
| 650 | 4 | |a Artificial intelligence | |
| 650 | 4 | |a Nonmonotonic reasoning | |
| 650 | 0 | 7 | |a Nichtmonotone Logik |0 (DE-588)4278597-2 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
PRELIMINARIES
.
1
1.2
OUR
PHILOSOPHICAL
POSITION
.
2
1.2.1
LOGIC
AS
A
TOOL
.
2
1.2.2
BASIC
SEMANTICAL
NOTIONS
.
4
1.2.3
ABSTRACT
SEMANTICS
.
6
1.2.4
RESTRICTED
MONOTONY
AND
IRRELEVANCE
.
6
1.2.5
LOGIC
AND
STRUCTURAL
INFORMATION
.
7
1.2.6
SUMMARY
AND
PROGRAM
.
8
1.3
INTRODUCTION
TO
NONMONOTONIC
LOGICS
AND
ITS
PROBLEMS
.
8
1.3.1
HISTORY
AND
AN
EXAMPLE
.
8
1.3.2
SOME
BASIC
DIFFERENCES
.
9
1.3.3
A
(SIMPLIFIED)
INTRODUCTION
TO
REITER
'
S
THEORY
OF
DEFAULTS
.
10
1.3.4
STATIC
AND
DYNAMIC
ASPECTS
OF
DEFAULTS
.
10
1.3.5
INTRODUCTION
TO
PREFERENTIAL
STRUCTURES
.
12
1.3.6
INTRODUCTION
TO
DEFAULTS
AS
GENERALIZED
QUANTIFIERS
.
18
1.3.7
A
TWO-STAGE
APPROACH
.
21
1.3.8
INTRODUCTION
TO
LOGIC
AND
ANALYSIS
.
22
1.3.9
INTRODUCTION
TO
THEORY
REVISION
.
23
1.3.10
INTRODUCTION
TO
STRUCTURED
REASONING
IN
DIAGRAMS
.
25
1.3.11
THE
PROBLEM
OF
IRRELEVANT
INFORMATION
.
31
1.4
BASIC
DEFINITIONS
AND
NOTATION
.
36
1.4.1
NOTATION
.
36
1.4.2
SET
THEORY
.
36
1.4.3
TOPOLOGY
.
37
1.4.4
THEORY
OF
MEASURE
AND
INTEGRATION
.
38
1.4.5
LOGIC
.
39
2
PREFERENTIAL
STRUCTURES
AND
RELATED
LOGICS
43
2.1
PREFERENTIAL
STRUCTURES
.
43
2.1.1
INTRODUCTION
AND
BASIC
DIFFERENCES
.
43
2.1.2
ORDERINGS
ON
AND
COMPLETENESS
RESULTS
.
46
2.1.3
DEFAULTS
AND
PREFERENTIAL
MODELS
.
60
2.1.4
SUPRACLASSICALITY
+
CUMULATIVITY
+
DISTRIBUTIVITY
DOES
NOT
ENTAIL
CLASSICAL
REPRESENTABILITY
.
74
VIII
CONTENTS
2.1.5
A
REPRESENTATION
THEOREM
FOR
PREFERENTIAL
MODELS
.
75
2.1.6
GENERAL
SMOOTHNESS
.
78
2.1.7
LIMIT
PREFERENTIAL
MODELS
.
84
2.2
LOCAL
AND
GLOBAL
METRICS
FOR
THE
SEMANTICS
OF
COUNTERFACTUAL
CONDITIONALS
.
90
2.2.1
INTRODUCTION
.
90
2.2.2
BASIC
DEFINITIONS
.
94
2.2.3
RESULTS
.
94
2.2.4
OUTLINE
OF
THE
CONSTRUCTION
FOR
THEOREM
2.120
.
96
2.2.5
DETAILED
PROOF
OF
THEOREM
2.120
.
97
2.3
EXTENSION
BY
FINITE
APPROXIMATION
FROM
BELOW
.
99
2.3.1
INTRODUCTION
.
99
2.3.2
CAUTIOUS
MONOTONY
DOES
NOT
EXTEND
.
100
2.3.3
WEAK
DISTRIBUTIVITY
ENTAILS
PARTIAL
DISTRIBUTIVITY
.
101
2.3.4
ON
DIFFERENT
INFINITE
EXTENSIONS
OF
.
102
2.3.5
EXTENSION
BY
UNBOUNDED
SUBSETS
.
103
2.3.6
A
FINAL
EXAMPLE
.
104
3
DEFAULTS
AS
GENERALIZED
QUANTIFIERS
105
3.1
INTRODUCTION
.
105
3.2
DEFAULTS
AS
GENERALIZED
QUANTIFIERS
.
108
3.2.1
SEMANTICS
AND
PROOF
THEORY
.
109
3.2.2
STRENGTHENING
THE
AXIOMS
.
116
3.3
SCEPTICAL
REVISION
OF
PARTIALLY
ORDERED
DEFAULTS
.
118
3.3.1
INTRODUCTION
.
119
3.3.2
BASIC
DEFINITIONS
AND
APPROACHES
.
119
4
LOGIC
AND
ANALYSIS
125
4.1
OVERVIEW,
MOTIVATION,
AND
BASIC
DEFINITIONS
.
125
4.1.1
OVERVIEW
.
125
4.1.2
MOTIVATION
TO
CONSIDER
CONTINUOUS
LOGICS
AND
THE
INTUITION
BEHIND
OUR
DEFINITION
OF
THE
TOPOLOGY
.
.
126
4.1.3
FURTHER
APPLICATIONS
OF
TOPOLOGY
AND
OF
OUR
CONSTRUCTION
IN
LOGICS
.
129
4.1.4
AVERAGE
DIFFERENCE
BETWEEN
TWO
LOGICS
.
130
4.1.5
MORE
APPLICATIONS
OF
THE
DISTANCE
BETWEEN
THEORIES
.
131
4.1.6
RELATION
BETWEEN
THE
MOTIVATIONAL
AND
THE
TECHNICAL
PART
.
133
4.2
TECHNICAL
DEVELOPMENT
.
133
4.2.1
OUTLINE
OF
THE
TECHNICAL
PART
.
133
4.2.2
THE
TOPOLOGICAL
CONSTRUCTION
.
135
4.2.3
A
MEASURE
ON
THE,
INTEGRATION
OF
THE
DIFFERENCE
BETWEEN
TWO
LOGICS
.
143
4.2.4
A
TOY
APPLICATION
.
144
CONTENTS
IX
5
THEORY
REVISION
AND
PROBABILITY
147
5.1
INTRODUCTION
.
147
5.2
EPISTEMIC
PREFERENCE
RELATIONS
.
151
5.3
MEASURING
THEORIES,
AND
AN
OUTLOOK
FOR
A
DIFFERENT
TREATMENT
OF
THEORY
REVISION
.
155
6
STRUCTURED
REASONING
159
6.1
INHERITANCE
DIAGRAMS
.
159
6.1.1
INTRODUCTION
.
159
6.1.2
A
DETAILED
SURVEY
OF
INHERITANCE
THEORY
A
LA
THOMASON
(ET
AL.)
.
160
6.1.3
REVIEW
OF
OTHER
APPROACHES
AND
PROBLEMS
.
178
6.1.4
A
PARALLEL
DEFINITION
FOR
THE
SCEPTICAL
AND
EXTENSION-BASED
APPROACH
.
194
6.1.5
DIRECTLY
SCEPTICAL
INHERITANCE
CANNOT
CAPTURE
THE
INTERSECTION
OF
EXTENSIONS
.
198
6.1.6
A
SEMANTICS
FOR
DEFEASIBLE
INHERITANCE
.
210
6.2
NETWORKS
OF
INFERENCE
-
J.
PEARL
'
S
BOOK
.
214
6.2.1
INTRODUCTION
.
214
6.2.2
INDEPENDENCE
RELATIONS
.
217
6.2.3
DISTRIBUTED
COMPUTING
IN
DAGS
.
224
BIBLIOGRAPHY
233 |
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| author | Schlechta, Karl 1948- |
| author_GND | (DE-588)134172809 |
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| dewey-search | 006.3 21 006.3 |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
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| indexdate | 2025-01-10T15:06:18Z |
| institution | BVB |
| isbn | 3540624821 |
| language | English |
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| physical | IX, 243 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| publisher | Springer |
| record_format | marc |
| series | Lecture notes in computer science |
| series2 | Lecture notes in computer science |
| spelling | Schlechta, Karl 1948- Verfasser (DE-588)134172809 aut Nonmonotonic logics basic concepts, results, and techniques Karl Schlechta Berlin u.a. Springer 1997 IX, 243 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in computer science 1187 : Lecture notes in artificial intelligence Inteligencia artificial larpcal Intelligence artificielle Intelligence artificielle ram Logica gtt Logique Logique ram Monotonie (wiskunde) gtt Raisonnement non-monotone Raisonnement par défaut Raisonnement ram logique non monotone inriac raisonnement non monotone inriac Künstliche Intelligenz Logik Default reasoning Logic Artificial intelligence Nonmonotonic reasoning Nichtmonotone Logik (DE-588)4278597-2 gnd rswk-swf Nichtmonotone Logik (DE-588)4278597-2 s DE-604 Lecture notes in computer science 1187 : Lecture notes in artificial intelligence (DE-604)BV000000607 1187 : Lecture DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007458448&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schlechta, Karl 1948- Nonmonotonic logics basic concepts, results, and techniques Lecture notes in computer science Inteligencia artificial larpcal Intelligence artificielle Intelligence artificielle ram Logica gtt Logique Logique ram Monotonie (wiskunde) gtt Raisonnement non-monotone Raisonnement par défaut Raisonnement ram logique non monotone inriac raisonnement non monotone inriac Künstliche Intelligenz Logik Default reasoning Logic Artificial intelligence Nonmonotonic reasoning Nichtmonotone Logik (DE-588)4278597-2 gnd |
| subject_GND | (DE-588)4278597-2 |
| title | Nonmonotonic logics basic concepts, results, and techniques |
| title_auth | Nonmonotonic logics basic concepts, results, and techniques |
| title_exact_search | Nonmonotonic logics basic concepts, results, and techniques |
| title_full | Nonmonotonic logics basic concepts, results, and techniques Karl Schlechta |
| title_fullStr | Nonmonotonic logics basic concepts, results, and techniques Karl Schlechta |
| title_full_unstemmed | Nonmonotonic logics basic concepts, results, and techniques Karl Schlechta |
| title_short | Nonmonotonic logics |
| title_sort | nonmonotonic logics basic concepts results and techniques |
| title_sub | basic concepts, results, and techniques |
| topic | Inteligencia artificial larpcal Intelligence artificielle Intelligence artificielle ram Logica gtt Logique Logique ram Monotonie (wiskunde) gtt Raisonnement non-monotone Raisonnement par défaut Raisonnement ram logique non monotone inriac raisonnement non monotone inriac Künstliche Intelligenz Logik Default reasoning Logic Artificial intelligence Nonmonotonic reasoning Nichtmonotone Logik (DE-588)4278597-2 gnd |
| topic_facet | Inteligencia artificial Intelligence artificielle Logica Logique Monotonie (wiskunde) Raisonnement non-monotone Raisonnement par défaut Raisonnement logique non monotone raisonnement non monotone Künstliche Intelligenz Logik Default reasoning Logic Artificial intelligence Nonmonotonic reasoning Nichtmonotone Logik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007458448&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000607 |
| work_keys_str_mv | AT schlechtakarl nonmonotoniclogicsbasicconceptsresultsandtechniques |