Distributive logic:
Abstract: "Equational logics are very good at handling algebraictheories. However, in programming languages which have branch instructions this sort of logic is ultimately inadequate. A branch instruction is a map to a coproduct and the problem with equational logics is that they cannot handle...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Knoxville
1989
|
| Series: | University of Tennessee <Knoxville, Tenn.> / Computer Science Department: CS
1989,1 |
| Subjects: | |
| Summary: | Abstract: "Equational logics are very good at handling algebraictheories. However, in programming languages which have branch instructions this sort of logic is ultimately inadequate. A branch instruction is a map to a coproduct and the problem with equational logics is that they cannot handle coproduct types. This paper introduces an equational style logic which incorporates the coproduct as a fundamental component. It is proven that the logic corresponds to distributive categories, that is categories with a final object, finite products, and coproducts, in which the product distributes over the coproduct." |
| Physical Description: | 16 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV008949800 | ||
| 003 | DE-604 | ||
| 005 | 20010129 | ||
| 007 | t | ||
| 008 | 940206s1989 |||| 00||| eng d | ||
| 035 | |a (OCoLC)20573758 | ||
| 035 | |a (DE-599)BVBBV008949800 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-29T | ||
| 050 | 0 | |a QA8.7 | |
| 100 | 1 | |a Cockett, J. R. B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Distributive logic |c J. R. B. Cockett |
| 264 | 1 | |a Knoxville |c 1989 | |
| 300 | |a 16 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a University of Tennessee <Knoxville, Tenn.> / Computer Science Department: CS |v 1989,1 | |
| 520 | 3 | |a Abstract: "Equational logics are very good at handling algebraictheories. However, in programming languages which have branch instructions this sort of logic is ultimately inadequate. A branch instruction is a map to a coproduct and the problem with equational logics is that they cannot handle coproduct types. This paper introduces an equational style logic which incorporates the coproduct as a fundamental component. It is proven that the logic corresponds to distributive categories, that is categories with a final object, finite products, and coproducts, in which the product distributes over the coproduct." | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Logic | |
| 810 | 2 | |a Computer Science Department: CS |t University of Tennessee <Knoxville, Tenn.> |v 1989,1 |w (DE-604)BV008903301 |9 1989,1 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-005905433 | ||
Record in the Search Index
| _version_ | 1804123282996199424 |
|---|---|
| any_adam_object | |
| author | Cockett, J. R. B. |
| author_facet | Cockett, J. R. B. |
| author_role | aut |
| author_sort | Cockett, J. R. B. |
| author_variant | j r b c jrb jrbc |
| building | Verbundindex |
| bvnumber | BV008949800 |
| callnumber-first | Q - Science |
| callnumber-label | QA8 |
| callnumber-raw | QA8.7 |
| callnumber-search | QA8.7 |
| callnumber-sort | QA 18.7 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)20573758 (DE-599)BVBBV008949800 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01546nam a2200313 cb4500</leader><controlfield tag="001">BV008949800</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20010129 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940206s1989 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)20573758</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV008949800</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-29T</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA8.7</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cockett, J. R. B.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Distributive logic</subfield><subfield code="c">J. R. B. Cockett</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Knoxville</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">16 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">University of Tennessee <Knoxville, Tenn.> / Computer Science Department: CS</subfield><subfield code="v">1989,1</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Abstract: "Equational logics are very good at handling algebraictheories. However, in programming languages which have branch instructions this sort of logic is ultimately inadequate. A branch instruction is a map to a coproduct and the problem with equational logics is that they cannot handle coproduct types. This paper introduces an equational style logic which incorporates the coproduct as a fundamental component. It is proven that the logic corresponds to distributive categories, that is categories with a final object, finite products, and coproducts, in which the product distributes over the coproduct."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Logic</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Computer Science Department: CS</subfield><subfield code="t">University of Tennessee <Knoxville, Tenn.></subfield><subfield code="v">1989,1</subfield><subfield code="w">(DE-604)BV008903301</subfield><subfield code="9">1989,1</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-005905433</subfield></datafield></record></collection> |
| id | DE-604.BV008949800 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:27:18Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005905433 |
| oclc_num | 20573758 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | 16 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| record_format | marc |
| series2 | University of Tennessee <Knoxville, Tenn.> / Computer Science Department: CS |
| spelling | Cockett, J. R. B. Verfasser aut Distributive logic J. R. B. Cockett Knoxville 1989 16 S. txt rdacontent n rdamedia nc rdacarrier University of Tennessee <Knoxville, Tenn.> / Computer Science Department: CS 1989,1 Abstract: "Equational logics are very good at handling algebraictheories. However, in programming languages which have branch instructions this sort of logic is ultimately inadequate. A branch instruction is a map to a coproduct and the problem with equational logics is that they cannot handle coproduct types. This paper introduces an equational style logic which incorporates the coproduct as a fundamental component. It is proven that the logic corresponds to distributive categories, that is categories with a final object, finite products, and coproducts, in which the product distributes over the coproduct." Algebra Logic Computer Science Department: CS University of Tennessee <Knoxville, Tenn.> 1989,1 (DE-604)BV008903301 1989,1 |
| spellingShingle | Cockett, J. R. B. Distributive logic Algebra Logic |
| title | Distributive logic |
| title_auth | Distributive logic |
| title_exact_search | Distributive logic |
| title_full | Distributive logic J. R. B. Cockett |
| title_fullStr | Distributive logic J. R. B. Cockett |
| title_full_unstemmed | Distributive logic J. R. B. Cockett |
| title_short | Distributive logic |
| title_sort | distributive logic |
| topic | Algebra Logic |
| topic_facet | Algebra Logic |
| volume_link | (DE-604)BV008903301 |
| work_keys_str_mv | AT cockettjrb distributivelogic |