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:
Proceedings of ICALP 2012, LNCS
影响因子:
--
通讯作者:
C.-H. Luke Ong
C.-H. Luke Ong
中科院分区:
--
文献类型:
--
作者:
Makiko Kashio;et al;加塩麻紀子;C.-H. Luke Ong

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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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