The decision problem for combined modal logics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Aachen
Shaker
2000
|
| Series: | Berichte aus der Informatik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Leipzig, Univ., Habil.-Schr., 2000 |
| Physical Description: | 247 S. 21 cm |
| ISBN: | 3826580435 |
Staff View
MARC
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| 100 | 1 | |a Wolter, Frank |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The decision problem for combined modal logics |c Frank Wolter |
| 264 | 1 | |a Aachen |b Shaker |c 2000 | |
| 300 | |a 247 S. |b 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Berichte aus der Informatik | |
| 500 | |a Zugl.: Leipzig, Univ., Habil.-Schr., 2000 | ||
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009152264 | |
Record in the Search Index
| _version_ | 1807229317447417856 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
5
1.1
FUSIONS
OF
MODAL
LOGICS
.
7
1.2
BIMODAL
PROVABILITY
LOGICS
.
9
1.3
ADDING
THE
CONVERSE
OPERATOR
.
10
1.4
PRODUCTS
OF
MODAL
LOGICS
.
12
1.5
MODAL
DESCRIPTION
LOGICS
.
14
1.6
FRAGMENTS
OF
FIRST-ORDER
MODAL
LOGICS
.
17
1.7
FRAGMENTS
OF
FIRST-ORDER
TEMPORAL
LOGICS
.
20
2
FUSIONS
OF
MODAL
LOGICS
REVISITED
23
2.1
SYNTAX
.
24
2.2
SEMANTICS
.
26
2.3
BASIC
RESULTS
.
28
2.4
DECIDABILITY
OF
THE
CONSEQUENCE
RELATION
.
29
2.5
DECIDABILITY
OF
NORMAL
LOGICS
.
33
2.6
CONCLUSION
.
39
3
BIMODAL
PROVABILITY
LOGICS
41
3.1
PRELIMINARIES
.
42
3.2
THE
RESULTS
.
43
3.3
CANONICAL
FORMULAS
.
48
3.4
COMPLETENESS
.
51
4
ADDING
THE
CONVERSE
OPERATOR
59
4.1
FINITE
WIDTH
AND
FINITE
DEPTH
.
62
4.2
COFINAL
SUBFRAME
LOGICS
.
66
4.3
REPLACEMENT
FUNCTIONS
.
68
4.4
CANONICAL
REPLACEMENT
FUNCTIONS
.
75
4.5
COMPLETENESS
.
80
4.6
DECIDABILITY
.
83
4.7
THE
FINITE
MODEL
PROPERTY
.
87
4.8
A
COUNTEREXAMPLE
.
94
2
CONTENTS
5
PRODUCTS
OF
MODAL
LOGICS
99
5.1
SYNTAX
AND
SEMANTICS
OF
CPDL
X
K
M
.
100
'
5.2
TREES
.
102
5.3
QUASIMODELS
.
104
5.4
DECIDABILITY
.
109
5.5
RELATED
LOGICS
.
117
5.6
DISCUSSION
.
121
6
MODAL
DESCRIPTION
LOGICS
123
6.1
THE
MODAL
DESCRIPTION
LANGUAGES
ACC
.
123
6.2
OBSERVATIONS
.
127
6.3
CONCEPT-SATISFIABILITY
.
132
6.4
GENERAL
FORMULA-SATISFIABILITY
.
140
6.4.1
QUASIMODELS
.
140
6.4.2
CONSTRUCTING
MOSAICS
.
145
6.4.3
DECIDABILITY
.
149
6.5
RESTRICTED
FORMULA-SATISFIABILITY
.
150
6.6
NEGATIVE
RESULTS
.
151
6.7
DISCUSSION
.
156
7
FRAGMENTS
OF
MODAL
PREDICATE
LOGICS
159
7.1
FIRST-ORDER
MODAL
LOGIC
.
159
7.2
OBSERVATIONS
.
161
7.3
QUASIMODELS
.
166
7.4
SATISFIABILITY
CRITERION
.
170
7.5
DECIDABLE
FRAGMENTS
.
173
7.6
DISCUSSION
.
178
8
FRAGMENTS
OF
TEMPORAL
PREDICATE
LOGICS
179
8.1
FIRST-ORDER
TEMPORAL
LOGIC
.
180
8.2
UNDECIDABILITY
OF
FRAGMENTS
OF
TC
.
181
8.3
CODIFYING
MODELS
.
183
8.4
EMBEDDING
INTO
SECOND-ORDER
MONADIC
THEORIES
.
186
8.5
SATISFIABILITY
IN
(N,
):
ARBITRARY
MODELS
.
188
8.6
SATISFIABILITY
IN
(N,
):
FINITE
DOMAINS
.
191
8.7
TWO-SORTED
TEMPORAL
LOGIC
.
196
8.8
APPLICATIONS
.
199
8.9
OPEN
QUESTIONS
.
201
A
BASIC
MODAL
LOGIC
203
A.L
SYNTAX
.
203
A.
2
ALGEBRAS
AND
FRAMES
.
204
A.3
SEMANTICS
.
207
CONTENTS
3
B
IMPORTANT
MODAL
SYSTEMS
211
B.L
EPISTEMIC
LOGIC
.
211
B.2
TEMPORAL
LOGIC
.
215
B.3
PROPOSITIONAL
DYNAMIC
LOGIC
.
220
B.4
DESCRIPTION
LOGIC
.
224 |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV013411606 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-13T00:16:21Z |
| institution | BVB |
| isbn | 3826580435 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009152264 |
| oclc_num | 50207007 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T |
| owner_facet | DE-355 DE-BY-UBR DE-29T |
| physical | 247 S. 21 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Informatik |
| spelling | Wolter, Frank Verfasser aut The decision problem for combined modal logics Frank Wolter Aachen Shaker 2000 247 S. 21 cm txt rdacontent n rdamedia nc rdacarrier Berichte aus der Informatik Zugl.: Leipzig, Univ., Habil.-Schr., 2000 Entscheidungsproblem (DE-588)4253928-6 gnd rswk-swf Modallogik (DE-588)4074914-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Modallogik (DE-588)4074914-9 s Entscheidungsproblem (DE-588)4253928-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009152264&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wolter, Frank The decision problem for combined modal logics Entscheidungsproblem (DE-588)4253928-6 gnd Modallogik (DE-588)4074914-9 gnd |
| subject_GND | (DE-588)4253928-6 (DE-588)4074914-9 (DE-588)4113937-9 |
| title | The decision problem for combined modal logics |
| title_auth | The decision problem for combined modal logics |
| title_exact_search | The decision problem for combined modal logics |
| title_full | The decision problem for combined modal logics Frank Wolter |
| title_fullStr | The decision problem for combined modal logics Frank Wolter |
| title_full_unstemmed | The decision problem for combined modal logics Frank Wolter |
| title_short | The decision problem for combined modal logics |
| title_sort | the decision problem for combined modal logics |
| topic | Entscheidungsproblem (DE-588)4253928-6 gnd Modallogik (DE-588)4074914-9 gnd |
| topic_facet | Entscheidungsproblem Modallogik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009152264&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT wolterfrank thedecisionproblemforcombinedmodallogics |