Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Edinburgh
1993
|
| Schriftenreihe: | University <Edinburgh>
645 |
| Schlagwörter: | |
| Abstract: | Abstract: "An important technique for investigating derivability in formal systems of arithmetic has been to embed such systems into semi- formal systems with the [omega]-rule. This paper exploits this notion within the domain of automated theorem-proving and discusses the implementation of such a proof environment, namely the CORE system which implements a version of the primitive recursive [omega]-rule. This involves providing an appropriate representation for infinite proofs, and a means of verifying properties of such objects. By means of the CORE system, from a finite number of instances a conjecture for a proof of the universally quantified formula is automatically derived by an inductive inference algorithm, and checked for correctness. In addition, candidates for cut formulae are generated by an explanation-based learning algorithm." |
| Umfang: | 13 S. |
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| 245 | 1 | 0 | |a A proof environment for arithmetic with the omega rule |c Siani Baker and Alan Smaill |
| 264 | 1 | |a Edinburgh |c 1993 | |
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| 490 | 1 | |a University <Edinburgh> / Department of Artificial Intelligence: DAI research paper |v 645 | |
| 520 | 3 | |a Abstract: "An important technique for investigating derivability in formal systems of arithmetic has been to embed such systems into semi- formal systems with the [omega]-rule. This paper exploits this notion within the domain of automated theorem-proving and discusses the implementation of such a proof environment, namely the CORE system which implements a version of the primitive recursive [omega]-rule. This involves providing an appropriate representation for infinite proofs, and a means of verifying properties of such objects. By means of the CORE system, from a finite number of instances a conjecture for a proof of the universally quantified formula is automatically derived by an inductive inference algorithm, and checked for correctness. In addition, candidates for cut formulae are generated by an explanation-based learning algorithm." | |
| 650 | 7 | |a Bionics and artificial intelligence |2 sigle | |
| 650 | 7 | |a Computer software |2 sigle | |
| 650 | 7 | |a Mathematics |2 sigle | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Automatic theorem proving | |
| 700 | 1 | |a Smaill, Alan |e Verfasser |4 aut | |
| 810 | 2 | |a Department of Artificial Intelligence: DAI research paper |t University <Edinburgh> |v 645 |w (DE-604)BV010450646 |9 645 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006972912 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0111 2001 B 6034-645 |
|---|---|
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| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010051599 |
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| any_adam_object | |
| author | Baker, Siani Smaill, Alan |
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| callnumber-sort | QA 276.952 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)31987508 (DE-599)BVBBV010464662 |
| format | Book |
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| id | DE-604.BV010464662 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:54:36Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006972912 |
| oclc_num | 31987508 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 13 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| record_format | marc |
| series2 | University <Edinburgh> / Department of Artificial Intelligence: DAI research paper |
| spellingShingle | Baker, Siani Smaill, Alan A proof environment for arithmetic with the omega rule Bionics and artificial intelligence sigle Computer software sigle Mathematics sigle Mathematik Automatic theorem proving |
| title | A proof environment for arithmetic with the omega rule |
| title_auth | A proof environment for arithmetic with the omega rule |
| title_exact_search | A proof environment for arithmetic with the omega rule |
| title_full | A proof environment for arithmetic with the omega rule Siani Baker and Alan Smaill |
| title_fullStr | A proof environment for arithmetic with the omega rule Siani Baker and Alan Smaill |
| title_full_unstemmed | A proof environment for arithmetic with the omega rule Siani Baker and Alan Smaill |
| title_short | A proof environment for arithmetic with the omega rule |
| title_sort | a proof environment for arithmetic with the omega rule |
| topic | Bionics and artificial intelligence sigle Computer software sigle Mathematics sigle Mathematik Automatic theorem proving |
| topic_facet | Bionics and artificial intelligence Computer software Mathematics Mathematik Automatic theorem proving |
| volume_link | (DE-604)BV010450646 |
| work_keys_str_mv | AT bakersiani aproofenvironmentforarithmeticwiththeomegarule AT smaillalan aproofenvironmentforarithmeticwiththeomegarule |
Teilbibliothek Mathematik & Informatik, Berichte
| Signatur: | 0111 2001 B 6034-645 |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |