Two-Level Game Semantics, Intersection Types, and Recursion Schemes
Two-Level Game Semantics, Intersection Types, and Recursion Schemes
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两级博弈语义、交集类型和递归方案
DOI:
10.1007/978-3-642-31585-5_31
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
C.-H. Luke Ong
中科院分区:
文献类型:
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作者:
Makiko Kashio;et al;加塩麻紀子;C.-H. Luke Ong
We introduce a new cartesian closed category oftwo-levelarenas and innocent strategies to model intersection types that are refinements of simple types. Intuitively a property (respectively computation) on the upper level refines that on the lower level. We proveSubject Expansion—any lower-level computation is closely and canonically tracked by the upper-level computation that lies over it—which is a measure of the robustness of the two-level semantics. The game semantics of the type system isfully complete: every winning strategy is the denotation of some derivation. To demonstrate the relevance of the game model, we use it to construct new semantic proofs of non-trivial algorithmic results in higher-order model checking.
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DOI:
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发表时间:
2009
期刊:
Proceedings of the 36th ACM SIGPLAN-SIGACT Symposium on principles of Programming Languages (POPL 2009)
影响因子:
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作者:
Naoki Kobayashi;Types and Higher-Order
通讯作者:
Types and Higher-Order
DOI:
10.1145/3091122
发表时间:
2008
期刊:
2008 23rd Annual IEEE Symposium on Logic in Computer Science
影响因子:
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作者:
M. Hague;A. Murawski;C. Ong;O. Serre
通讯作者:
O. Serre
DOI:
10.1109/lics.2009.29
发表时间:
2009-08
期刊:
2009 24th Annual IEEE Symposium on Logic In Computer Science
影响因子:
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作者:
N. Kobayashi;C. Ong
通讯作者:
N. Kobayashi;C. Ong
DOI:
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发表时间:
2010
期刊:
Proceedings of the 13th International Conference on Foundations of Software Science and Computational Structures (FOSSACS'10) 6014
影响因子:
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作者:
Takeshi Tsukada;Naoki Kobayashi
通讯作者:
Naoki Kobayashi
影响因子:
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作者:
Sylvain Salvati;I. Walukiewicz
通讯作者:
I. Walukiewicz