Interactive theorem proving in symbolic incidence geometry:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Giessen
Selbstverl. des Math. Inst.
1998
|
Schriftenreihe: | Universität <Giessen> / Mathematisches Seminar: Mitteilungen aus dem Mathematischen Seminar Gießen
233 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Zugl.: Giessen, Univ., Habil.-Schr. |
Beschreibung: | XII, 214 S. graph. Darst. |
Internformat
MARC
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245 | 1 | 0 | |a Interactive theorem proving in symbolic incidence geometry |c Johannes Ueberberg |
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300 | |a XII, 214 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Universität <Giessen> / Mathematisches Seminar: Mitteilungen aus dem Mathematischen Seminar Gießen |v 233 | |
500 | |a Zugl.: Giessen, Univ., Habil.-Schr. | ||
650 | 4 | |a Automatic theorem proving | |
650 | 4 | |a Geometry, Projective | |
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Datensatz im Suchindex
_version_ | 1807323372196986880 |
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adam_text |
CONTENTS
1
FOUNDATIONS
1
1.1
PROBLEM
SOLVING
.
1
1.2
LINEAR
SPACES
.
7
1.3
THE
MAIN
CONCEPTS
.
9
2
PARTITIONS
AND
PARTITION
GRAPHS
17
2.1
SINGULAR
POINTS
AND
LINES
.
17
2.2
SPECIAL
POINTS
AND
LINES
.
18
2.3
THE
PARTITION
OF
THE
POINT
SET
.
18
2.4
THE
PARTITION
OF
THE
LINE
SET
.
21
2.5
THE
WEIGHT
OF
A
COMPONENT
.
25
2.6
THE
PARTITION
GRAPHS
.
26
2.7
THE
NUMBER
OF
COMPONENTS
.
28
2.8
ALTERNATIVE
PARTITIONS
.
29
2.9
A
GENERAL
PARTITION
CONCEPT
.
31
3
FOCUSSING
AND
RETRACTION
35
3.1
FOCUSSING
A
COMPONENT
.
35
3.2
THE
RETRACTION
OF
A
SINGULAR
COMPONENT
.
44
3.3
THE
WEIGHT
OF
A
COMPONENT
.
49
4
THE
KNOWLEDGE
BASE
51
4.1
FACTS
.
51
4.2
THE
KNOWLEDGE
BASE
AND
THE
FACTS
.
56
4.3
RULES
.
61
XII
CONTENTS
4.4
THE
KNOWLEDGE
BASE
AND
THE
RULES
.
70
5
THE
APPLICATION
OF
A
RULE
73
5.1
THE
EVALUATION
OF
AN
EXPRESSION
.
75
5.2
THE
CARDINALITY
OF
A
COMPONENT
.
81
5.3
THE
INCIDENCE
RELATION
.
88
5.4
THE
APPLICATION
OF
A
RULE
.
95
5.5
FACTS
AND
PARTITIONS
.
98
6
ADVANCED
COMBINATORIAL
TECHNIQUES
101
6.1
COMBINATORIAL
TECHNIQUES
.
102
6.2
A
CASE
STUDY
.
105
6.3
THE
EVALUATION
OF
A
SUM
OF
EXPRESSIONS
.
110
6.4
SYSTEMS
OF
LINEAR
CONSTRAINTS
.
.
.
114
6.5
FINAL
CONCLUSIONS
.
120
7
THE
ANALYSIS
OF
THE
PARAMETER
RELATIONS
125
7.1
CONTRADICTION
BETWEEN
TWO
FACTS
.
126
7.2
THE
CONJUNCTION
OF
FACTS
.
129
7.3
THE
DISJUNCTION
OF
FACTS
.
133
7.4
OPERATIONS
ON
THE
KNOWLEDGE
BASE
.
137
7.5
THE
ESTIMATES
OF
A
BOUNDED
PARAMETER
.
140
7.6
THE
ANALYSIS
OF
THE
PARAMETER
RELATIONS
.
141
8
ABSTRACT
CONCLUSIONS
143
8.1
THE
SHIFTING
PRINCIPLE
.
146
8.2
THE
PROOF
TREE
AND
PROOFS
BY
CONTRADICTION
.
153
8.3
THE
USER
-
SYSTEM
DIALOG
.
158
9
CASE
STUDIES
169
9.1
MORE
ABOUT
LINEAR
SPACES
.
169
9.2
THE
THEOREM
OF
DEMBOWSKI
.
173
9.3
THE
THEOREM
OF
DE
BRUIJN
AND
ERDOS
.
197
REFERENCES
209 |
any_adam_object | 1 |
author | Ueberberg, Johannes |
author_GND | (DE-588)1029858349 |
author_facet | Ueberberg, Johannes |
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author_sort | Ueberberg, Johannes |
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building | Verbundindex |
bvnumber | BV011984128 |
classification_rvk | SI 345 |
ctrlnum | (OCoLC)39482966 (DE-599)BVBBV011984128 |
discipline | Mathematik |
format | Book |
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genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
genre_facet | Hochschulschrift |
id | DE-604.BV011984128 |
illustrated | Illustrated |
indexdate | 2024-08-14T01:11:20Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008109475 |
oclc_num | 39482966 |
open_access_boolean | |
owner | DE-703 DE-29T DE-12 DE-384 |
owner_facet | DE-703 DE-29T DE-12 DE-384 |
physical | XII, 214 S. graph. Darst. |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Selbstverl. des Math. Inst. |
record_format | marc |
series2 | Universität <Giessen> / Mathematisches Seminar: Mitteilungen aus dem Mathematischen Seminar Gießen |
spelling | Ueberberg, Johannes Verfasser (DE-588)1029858349 aut Interactive theorem proving in symbolic incidence geometry Johannes Ueberberg Giessen Selbstverl. des Math. Inst. 1998 XII, 214 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universität <Giessen> / Mathematisches Seminar: Mitteilungen aus dem Mathematischen Seminar Gießen 233 Zugl.: Giessen, Univ., Habil.-Schr. Automatic theorem proving Geometry, Projective Automatisches Beweisverfahren (DE-588)4069034-9 gnd rswk-swf Inzidenzgeometrie (DE-588)4162265-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Automatisches Beweisverfahren (DE-588)4069034-9 s Inzidenzgeometrie (DE-588)4162265-0 s DE-604 Mathematisches Seminar: Mitteilungen aus dem Mathematischen Seminar Gießen Universität <Giessen> 233 (DE-604)BV000000812 233 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008109475&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Ueberberg, Johannes Interactive theorem proving in symbolic incidence geometry Automatic theorem proving Geometry, Projective Automatisches Beweisverfahren (DE-588)4069034-9 gnd Inzidenzgeometrie (DE-588)4162265-0 gnd |
subject_GND | (DE-588)4069034-9 (DE-588)4162265-0 (DE-588)4113937-9 |
title | Interactive theorem proving in symbolic incidence geometry |
title_auth | Interactive theorem proving in symbolic incidence geometry |
title_exact_search | Interactive theorem proving in symbolic incidence geometry |
title_full | Interactive theorem proving in symbolic incidence geometry Johannes Ueberberg |
title_fullStr | Interactive theorem proving in symbolic incidence geometry Johannes Ueberberg |
title_full_unstemmed | Interactive theorem proving in symbolic incidence geometry Johannes Ueberberg |
title_short | Interactive theorem proving in symbolic incidence geometry |
title_sort | interactive theorem proving in symbolic incidence geometry |
topic | Automatic theorem proving Geometry, Projective Automatisches Beweisverfahren (DE-588)4069034-9 gnd Inzidenzgeometrie (DE-588)4162265-0 gnd |
topic_facet | Automatic theorem proving Geometry, Projective Automatisches Beweisverfahren Inzidenzgeometrie Hochschulschrift |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008109475&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000000812 |
work_keys_str_mv | AT ueberbergjohannes interactivetheoremprovinginsymbolicincidencegeometry |