Implementing number theory: an experiment with Nuprl
We describe the results of an experiment in which the Nuprl proof development system was used in conjunction with a collection of simple proof-assisting programs to constructively prove a substantial theorem of number theory. We believe that these results indicate the promise of an approach to reaso...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Ithaca, New York
1986
|
| Schriftenreihe: | Cornell University <Ithaca, NY> / Department of Computer Science: Technical report
752 |
| Schlagworte: | |
| Zusammenfassung: | We describe the results of an experiment in which the Nuprl proof development system was used in conjunction with a collection of simple proof-assisting programs to constructively prove a substantial theorem of number theory. We believe that these results indicate the promise of an approach to reasoning about computationally meaningful mathematics by which both proof construction and the results of formal reasoning are mathematically comprehensible. |
| Beschreibung: | 17 S. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010594530 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 960201s1986 |||| 00||| engod | ||
| 035 | |a (OCoLC)15729221 | ||
| 035 | |a (DE-599)BVBBV010594530 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G | ||
| 100 | 1 | |a Howe, Douglas J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Implementing number theory |b an experiment with Nuprl |
| 264 | 1 | |a Ithaca, New York |c 1986 | |
| 300 | |a 17 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cornell University <Ithaca, NY> / Department of Computer Science: Technical report |v 752 | |
| 520 | 3 | |a We describe the results of an experiment in which the Nuprl proof development system was used in conjunction with a collection of simple proof-assisting programs to constructively prove a substantial theorem of number theory. We believe that these results indicate the promise of an approach to reasoning about computationally meaningful mathematics by which both proof construction and the results of formal reasoning are mathematically comprehensible. | |
| 650 | 4 | |a Automatic theorem proving | |
| 650 | 4 | |a Proof theory | |
| 810 | 2 | |a Department of Computer Science: Technical report |t Cornell University <Ithaca, NY> |v 752 |w (DE-604)BV006185504 |9 752 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007065135 | ||
Datensatz im Suchindex
| _version_ | 1804125065791406080 |
|---|---|
| any_adam_object | |
| author | Howe, Douglas J. |
| author_facet | Howe, Douglas J. |
| author_role | aut |
| author_sort | Howe, Douglas J. |
| author_variant | d j h dj djh |
| building | Verbundindex |
| bvnumber | BV010594530 |
| ctrlnum | (OCoLC)15729221 (DE-599)BVBBV010594530 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01412nam a2200301 cb4500</leader><controlfield tag="001">BV010594530</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">960201s1986 |||| 00||| engod</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)15729221</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010594530</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-91G</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Howe, Douglas J.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Implementing number theory</subfield><subfield code="b">an experiment with Nuprl</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Ithaca, New York</subfield><subfield code="c">1986</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">17 S.</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">Cornell University <Ithaca, NY> / Department of Computer Science: Technical report</subfield><subfield code="v">752</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">We describe the results of an experiment in which the Nuprl proof development system was used in conjunction with a collection of simple proof-assisting programs to constructively prove a substantial theorem of number theory. We believe that these results indicate the promise of an approach to reasoning about computationally meaningful mathematics by which both proof construction and the results of formal reasoning are mathematically comprehensible.</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">Proof theory</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Department of Computer Science: Technical report</subfield><subfield code="t">Cornell University <Ithaca, NY></subfield><subfield code="v">752</subfield><subfield code="w">(DE-604)BV006185504</subfield><subfield code="9">752</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007065135</subfield></datafield></record></collection> |
| id | DE-604.BV010594530 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:55:38Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007065135 |
| oclc_num | 15729221 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 17 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| record_format | marc |
| series2 | Cornell University <Ithaca, NY> / Department of Computer Science: Technical report |
| spelling | Howe, Douglas J. Verfasser aut Implementing number theory an experiment with Nuprl Ithaca, New York 1986 17 S. txt rdacontent n rdamedia nc rdacarrier Cornell University <Ithaca, NY> / Department of Computer Science: Technical report 752 We describe the results of an experiment in which the Nuprl proof development system was used in conjunction with a collection of simple proof-assisting programs to constructively prove a substantial theorem of number theory. We believe that these results indicate the promise of an approach to reasoning about computationally meaningful mathematics by which both proof construction and the results of formal reasoning are mathematically comprehensible. Automatic theorem proving Proof theory Department of Computer Science: Technical report Cornell University <Ithaca, NY> 752 (DE-604)BV006185504 752 |
| spellingShingle | Howe, Douglas J. Implementing number theory an experiment with Nuprl Automatic theorem proving Proof theory |
| title | Implementing number theory an experiment with Nuprl |
| title_auth | Implementing number theory an experiment with Nuprl |
| title_exact_search | Implementing number theory an experiment with Nuprl |
| title_full | Implementing number theory an experiment with Nuprl |
| title_fullStr | Implementing number theory an experiment with Nuprl |
| title_full_unstemmed | Implementing number theory an experiment with Nuprl |
| title_short | Implementing number theory |
| title_sort | implementing number theory an experiment with nuprl |
| title_sub | an experiment with Nuprl |
| topic | Automatic theorem proving Proof theory |
| topic_facet | Automatic theorem proving Proof theory |
| volume_link | (DE-604)BV006185504 |
| work_keys_str_mv | AT howedouglasj implementingnumbertheoryanexperimentwithnuprl |