Please use this identifier to cite or link to this item:
doi:10.22028/D291-25812
Title: | Full abstraction for the second order subset of an ALGOL-like language |
Author(s): | Sieber, Kurt |
Language: | English |
Year of Publication: | 1995 |
SWD key words: | Technische Informatik Denotationale Semantik |
Free key words: | denotational semantics |
DDC notations: | 004 Computer science, internet |
Publikation type: | Report |
Abstract: | We present a denotational semantics for an ALGOL-like language ALG, which is fully abstract for the second order subset of ALG. This constitutes the first significant full abstraction result for a block structured language with local variables. As all the published "test equivalences" [13, 8, 23 for Algol-like languages are contained in the second order subset, they can all be validated (easily) in our denotational model. The general technique for our model construction -- namely "relationally structured locally complete partial orders" with "relation preserving locally continuous functions" -- has already been developed in [13], but our particular model differs from the one in [13] in that we now use a larger set of relations. In a certain sense it is the "largest possible" set of relations, an idea which we have successfully used in [32] to obtain a fully abstract model for the second order subset ot the functional language PCF [26]. The overall structure of our full abstraction proof is also taken from [32], but for the single parts of the proof we had to solve considerable new problems which are specific to the imperative (Algol- like) setting. |
Link to this record: | urn:nbn:de:bsz:291-scidok-3713 hdl:20.500.11880/25868 http://dx.doi.org/10.22028/D291-25812 |
Series name: | Technischer Bericht / A / Fachbereich Informatik, Universität des Saarlandes |
Series volume: | 1995/04 |
Date of registration: | 23-Jun-2005 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Informatik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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