Interactive theorem proving in symbolic incidence geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Giessen
Selbstverl. des Math. Inst.
1998
|
| Series: | Universität <Giessen> / Mathematisches Seminar: Mitteilungen aus dem Mathematischen Seminar Gießen
233 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Giessen, Univ., Habil.-Schr. |
| Physical Description: | XII, 214 S. graph. Darst. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV011984128 | ||
| 003 | DE-604 | ||
| 005 | 19980630 | ||
| 007 | t | ||
| 008 | 980602s1998 d||| m||| 00||| eng d | ||
| 016 | 7 | |a 953571335 |2 DE-101 | |
| 035 | |a (OCoLC)39482966 | ||
| 035 | |a (DE-599)BVBBV011984128 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-29T |a DE-12 |a DE-384 | ||
| 084 | |a SI 345 |0 (DE-625)143126: |2 rvk | ||
| 100 | 1 | |a Ueberberg, Johannes |e Verfasser |0 (DE-588)1029858349 |4 aut | |
| 245 | 1 | 0 | |a Interactive theorem proving in symbolic incidence geometry |c Johannes Ueberberg |
| 264 | 1 | |a Giessen |b Selbstverl. des Math. Inst. |c 1998 | |
| 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 | |
| 650 | 0 | 7 | |a Automatisches Beweisverfahren |0 (DE-588)4069034-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inzidenzgeometrie |0 (DE-588)4162265-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Automatisches Beweisverfahren |0 (DE-588)4069034-9 |D s |
| 689 | 0 | 1 | |a Inzidenzgeometrie |0 (DE-588)4162265-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 810 | 2 | |a Mathematisches Seminar: Mitteilungen aus dem Mathematischen Seminar Gießen |t Universität <Giessen> |v 233 |w (DE-604)BV000000812 |9 233 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008109475 | |
Record in the Search Index
| _version_ | 1807323372196986880 |
|---|---|
| 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 |
| author_role | aut |
| author_sort | Ueberberg, Johannes |
| author_variant | j u ju |
| building | Verbundindex |
| bvnumber | BV011984128 |
| classification_rvk | SI 345 |
| ctrlnum | (OCoLC)39482966 (DE-599)BVBBV011984128 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV011984128</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19980630</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">980602s1998 d||| m||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">953571335</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)39482966</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011984128</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 345</subfield><subfield code="0">(DE-625)143126:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ueberberg, Johannes</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1029858349</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Interactive theorem proving in symbolic incidence geometry</subfield><subfield code="c">Johannes Ueberberg</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Giessen</subfield><subfield code="b">Selbstverl. des Math. Inst.</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 214 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Universität <Giessen> / Mathematisches Seminar: Mitteilungen aus dem Mathematischen Seminar Gießen</subfield><subfield code="v">233</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Zugl.: Giessen, Univ., Habil.-Schr.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Automatic theorem proving</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Projective</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Automatisches Beweisverfahren</subfield><subfield code="0">(DE-588)4069034-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inzidenzgeometrie</subfield><subfield code="0">(DE-588)4162265-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Automatisches Beweisverfahren</subfield><subfield code="0">(DE-588)4069034-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Inzidenzgeometrie</subfield><subfield code="0">(DE-588)4162265-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Mathematisches Seminar: Mitteilungen aus dem Mathematischen Seminar Gießen</subfield><subfield code="t">Universität <Giessen></subfield><subfield code="v">233</subfield><subfield code="w">(DE-604)BV000000812</subfield><subfield code="9">233</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008109475</subfield></datafield></record></collection> |
| 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 |