| Autor: |
Adriana Compagnoni, Healfdene Goguen |
| Jazyk: |
angličtina |
| Rok vydání: |
2011 |
| Předmět: |
|
| Zdroj: |
Electronic Proceedings in Theoretical Computer Science, Vol 45, Iss Proc. ITRS 2010, Pp 1-15 (2011) |
| Druh dokumentu: |
article |
| ISSN: |
2075-2180 |
| DOI: |
10.4204/EPTCS.45.1 |
| Popis: |
Type theories with higher-order subtyping or singleton types are examples of systems where computation rules for variables are affected by type information in the context. A complication for these systems is that bounds declared in the context do not interact well with the logical relation proof of completeness or termination. This paper proposes a natural modification to the type syntax for F-Omega-Sub, adding variable's bound to the variable type constructor, thereby separating the computational behavior of the variable from the context. The algorithm for subtyping in F-Omega-Sub can then be given on types without context or kind information. As a consequence, the metatheory follows the general approach for type systems without computational information in the context, including a simple logical relation definition without Kripke-style indexing by context. This new presentation of the system is shown to be equivalent to the traditional presentation without bounds on the variable type constructor. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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