Session Types in Abelian Logic
There was a PhD student who says "I found a pair of wooden shoes. I put a coin in the left and a key in the right. Next morning, I found those objects in the opposite shoes." We do not claim existence of such shoes, but propose a similar programming abstraction in the context of typed l...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Open Publishing Association
2013-12-01
|
| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1312.2700v1 |
| _version_ | 1819174745062506496 |
|---|---|
| author | Yoichi Hirai |
| author_facet | Yoichi Hirai |
| author_sort | Yoichi Hirai |
| collection | DOAJ |
| description | There was a PhD student who says "I found a pair of wooden shoes. I put a coin in the left and a key in the right. Next morning, I found those objects in the opposite shoes." We do not claim existence of such shoes, but propose a similar programming abstraction in the context of typed lambda calculi. The result, which we call the Amida calculus, extends Abramsky's linear lambda calculus LF and characterizes Abelian logic. |
| first_indexed | 2024-12-22T20:43:51Z |
| format | Article |
| id | doaj.art-20a9afba32474e658a5bd0b1ab0f299e |
| institution | Directory Open Access Journal |
| issn | 2075-2180 |
| language | English |
| last_indexed | 2024-12-22T20:43:51Z |
| publishDate | 2013-12-01 |
| publisher | Open Publishing Association |
| record_format | Article |
| series | Electronic Proceedings in Theoretical Computer Science |
| spelling | doaj.art-20a9afba32474e658a5bd0b1ab0f299e2022-12-21T18:13:16ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802013-12-01137Proc. PLACES 2013335210.4204/EPTCS.137.4:1Session Types in Abelian LogicYoichi Hirai0 National Institute of Advanced Industrial Science and Technology There was a PhD student who says "I found a pair of wooden shoes. I put a coin in the left and a key in the right. Next morning, I found those objects in the opposite shoes." We do not claim existence of such shoes, but propose a similar programming abstraction in the context of typed lambda calculi. The result, which we call the Amida calculus, extends Abramsky's linear lambda calculus LF and characterizes Abelian logic.http://arxiv.org/pdf/1312.2700v1 |
| spellingShingle | Yoichi Hirai Session Types in Abelian Logic Electronic Proceedings in Theoretical Computer Science |
| title | Session Types in Abelian Logic |
| title_full | Session Types in Abelian Logic |
| title_fullStr | Session Types in Abelian Logic |
| title_full_unstemmed | Session Types in Abelian Logic |
| title_short | Session Types in Abelian Logic |
| title_sort | session types in abelian logic |
| url | http://arxiv.org/pdf/1312.2700v1 |
| work_keys_str_mv | AT yoichihirai sessiontypesinabelianlogic |