3 Search Results for "Ye, Wenjia"


Document
Direct Foundations for Compositional Programming

Authors: Andong Fan, Xuejing Huang, Han Xu, Yaozhu Sun, and Bruno C. d. S. Oliveira

Published in: LIPIcs, Volume 222, 36th European Conference on Object-Oriented Programming (ECOOP 2022)


Abstract
The recently proposed CP language adopts Compositional Programming: a new modular programming style that solves challenging problems such as the Expression Problem. CP is implemented on top of a polymorphic core language with disjoint intersection types called 𝖥_{i}^{+}. The semantics of 𝖥_{i}^{+} employs an elaboration to a target language and relies on a sophisticated proof technique to prove the coherence of the elaboration. Unfortunately, the proof technique is technically challenging and hard to scale to many common features, including recursion or impredicative polymorphism. Thus, the original formulation of 𝖥_{i}^{+} does not support the two later features, which creates a gap between theory and practice, since CP fundamentally relies on them. This paper presents a new formulation of 𝖥_{i}^{+} based on a type-directed operational semantics (TDOS). The TDOS approach was recently proposed to model the semantics of languages with disjoint intersection types (but without polymorphism). Our work shows that the TDOS approach can be extended to languages with disjoint polymorphism and model the full 𝖥_{i}^{+} calculus. Unlike the elaboration semantics, which gives the semantics to 𝖥_{i}^{+} indirectly via a target language, the TDOS approach gives a semantics to 𝖥_{i}^{+} directly. With a TDOS, there is no need for a coherence proof. Instead, we can simply prove that the semantics is deterministic. The proof of determinism only uses simple reasoning techniques, such as straightforward induction, and is able to handle problematic features such as recursion and impredicative polymorphism. This removes the gap between theory and practice and validates the original proofs of correctness for CP. We formalized the TDOS variant of the 𝖥_{i}^{+} calculus and all its proofs in the Coq proof assistant.

Cite as

Andong Fan, Xuejing Huang, Han Xu, Yaozhu Sun, and Bruno C. d. S. Oliveira. Direct Foundations for Compositional Programming. In 36th European Conference on Object-Oriented Programming (ECOOP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 222, pp. 18:1-18:28, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@InProceedings{fan_et_al:LIPIcs.ECOOP.2022.18,
  author =	{Fan, Andong and Huang, Xuejing and Xu, Han and Sun, Yaozhu and Oliveira, Bruno C. d. S.},
  title =	{{Direct Foundations for Compositional Programming}},
  booktitle =	{36th European Conference on Object-Oriented Programming (ECOOP 2022)},
  pages =	{18:1--18:28},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-225-9},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{222},
  editor =	{Ali, Karim and Vitek, Jan},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ECOOP.2022.18},
  URN =		{urn:nbn:de:0030-drops-162463},
  doi =		{10.4230/LIPIcs.ECOOP.2022.18},
  annote =	{Keywords: Intersection types, disjoint polymorphism, operational semantics}
}
Document
Type-Directed Operational Semantics for Gradual Typing

Authors: Wenjia Ye, Bruno C. d. S. Oliveira, and Xuejing Huang

Published in: LIPIcs, Volume 194, 35th European Conference on Object-Oriented Programming (ECOOP 2021)


Abstract
The semantics of gradually typed languages is typically given indirectly via an elaboration into a cast calculus. This contrasts with more conventional formulations of programming language semantics, where the semantics of a language is given directly using, for instance, an operational semantics. This paper presents a new approach to give the semantics of gradually typed languages directly. We use a recently proposed variant of small-step operational semantics called type-directed operational semantics (TDOS). In TDOS type annotations become operationally relevant and can affect the result of a program. In the context of a gradually typed language, such type annotations are used to trigger type-based conversions on values. We illustrate how to employ TDOS on gradually typed languages using two calculi. The first calculus, called λ B^g, is inspired by the semantics of the blame calculus, but it has implicit type conversions, enabling it to be used as a gradually typed language. The second calculus, called λ B^r, explores a different design space in the semantics of gradually typed languages. It uses a so-called blame recovery semantics, which enables eliminating some false positives where blame is raised but normal computation could succeed. For both calculi, type safety is proved. Furthermore we show that the semantics of λ B^g is sound with respect to the semantics of the blame calculus, and that λ B^r comes with a gradual guarantee. All the results have been mechanically formalized in the Coq theorem prover.

Cite as

Wenjia Ye, Bruno C. d. S. Oliveira, and Xuejing Huang. Type-Directed Operational Semantics for Gradual Typing. In 35th European Conference on Object-Oriented Programming (ECOOP 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 194, pp. 12:1-12:30, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


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@InProceedings{ye_et_al:LIPIcs.ECOOP.2021.12,
  author =	{Ye, Wenjia and Oliveira, Bruno C. d. S. and Huang, Xuejing},
  title =	{{Type-Directed Operational Semantics for Gradual Typing}},
  booktitle =	{35th European Conference on Object-Oriented Programming (ECOOP 2021)},
  pages =	{12:1--12:30},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-190-0},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{194},
  editor =	{M{\o}ller, Anders and Sridharan, Manu},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ECOOP.2021.12},
  URN =		{urn:nbn:de:0030-drops-140551},
  doi =		{10.4230/LIPIcs.ECOOP.2021.12},
  annote =	{Keywords: Gradual Typing, Type Systems, Operational Semantics}
}
Document
Artifact
Type-Directed Operational Semantics for Gradual Typing (Artifact)

Authors: Wenjia Ye, Bruno C. d. S. Oliveira, and Xuejing Huang

Published in: DARTS, Volume 7, Issue 2, Special Issue of the 35th European Conference on Object-Oriented Programming (ECOOP 2021)


Abstract
This artifact includes the Coq formalization associated with the paper Type-Directed Operational Semantics for Gradual Typing submitted in ECOOP 2021. The paper illustrates how to employ TDOS on gradually typed languages using two calculi. The first calculus, called λB, is inspired by the semantics of the blame calculus(λB^g) and is sound with λB^g. The second calculus, called λB^r, explores a different design space in the semantics of gradually typed languages. This document explains how to run the Coq formalization. Artifact can either be compiled in the pre-built docker image with all the dependencies installed or it could be built from the scratch. Sections 1-7 explain the basic information about the artifact. Section 7 explains how to get the docker image for the artifact. Section 8 explains the prerequisites and the steps to run coq files from scratch. Section 9 explains coq files briefly. Section 10 shows the correspondence of important lemmas, definitions and pictures discussed in the paper with their respective Coq formalization.

Cite as

Wenjia Ye, Bruno C. d. S. Oliveira, and Xuejing Huang. Type-Directed Operational Semantics for Gradual Typing (Artifact). In Special Issue of the 35th European Conference on Object-Oriented Programming (ECOOP 2021). Dagstuhl Artifacts Series (DARTS), Volume 7, Issue 2, pp. 9:1-9:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


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@Article{ye_et_al:DARTS.7.2.9,
  author =	{Ye, Wenjia and Oliveira, Bruno C. d. S. and Huang, Xuejing},
  title =	{{Type-Directed Operational Semantics for Gradual Typing (Artifact)}},
  pages =	{9:1--9:6},
  journal =	{Dagstuhl Artifacts Series},
  ISSN =	{2509-8195},
  year =	{2021},
  volume =	{7},
  number =	{2},
  editor =	{Ye, Wenjia and Oliveira, Bruno C. d. S. and Huang, Xuejing},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DARTS.7.2.9},
  URN =		{urn:nbn:de:0030-drops-140337},
  doi =		{10.4230/DARTS.7.2.9},
  annote =	{Keywords: Gradual Typing, Operational Semantics, Type Systems}
}
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