Higherorder subtyping
 47 Pages
 1994
 0.78 MB
 141 Downloads
 English
LFCS, Dept. of Computer Science, University of Edinburgh , Edinburgh
Lambda calculus., Objectoriented programming (Computer sci
Statement  Martin Steffen, Benjamin Pierce. 
Series  LFCS report series  ECSLFCS94280, Interner Bericht  IMMD701 / 94, Interner Bericht (FriedrichAlexanderUniversität ErlangenNürnberg)  IMMD701/94. 
Contributions  Pierce, Benjamin C., University of Edinburgh. Laboratory for Foundations of Computer Science., FriedrichAlexanderUniversität ErlangenNürnberg. 
The Physical Object  

Pagination  47 p. ; 
ID Numbers  
Open Library  OL18817317M 

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System F⩽ω is an extension with subtyping of the higherorder polymorphic λcalculus —an orthogonal combination of Girard's system Fω with Cardelli Higherorder subtyping book Cited by: ied in [37] and [47]. Higherorder generalizations of subtyping appear in [11,12,31,45]. Treating the interaction between interface reﬁnement and encapsulation of objects in objectoriented programming has required higherorder generalizations of subtyping: the Fbounded quantiﬁcation of Canning, Cook et al.
[12] or system Fω [11,14–16,45]. Higherorder subtyping and its decidability. is a platform for academics to share research papers. The treatment of subtyping and higherorder polymorphism is Higherorder subtyping book on recent papers on static type systems for objectoriented languages Car84, Bru94, CCH + 89, CHC90, PT94, FM94, etc.] and the.
This paper proposes a session typing system for the higherorder πcalculus (the HOπcalculus) with asynchronous communication subtyping, which allows partial commutativity of actions in higherord.
The combination of higherorder subtyping with intersection types yields a typed model of objectoriented programming with multiple inheritance [11]. The target calculus, F, a natural. We present a new proof of decidability of higherorder subtyping in the presence of bounded quantification.
The algorithm is formulated as a judgement which operates on betaetanormal forms. Transitivity and closure under application are proven directly and syntactically, without the need for a model construction or reasoning on longest beta.
A.B. CompagnoniDecidability of higherorder subtyping with intersection types in: CSL’94, Lecture Notes in Computer Science, vol.Springer () Preliminary version available as University of Edinburgh Technical Report ECSLFCS, January Abel A and Rodriguez D Syntactic Metatheory of HigherOrder Subtyping Proceedings of the 22nd international workshop on Computer Science Logic, () Jeffrey A and Rathke J () Full abstraction for polymorphic πcalculus, Theoretical Computer Science,(), Online publication date: Jan VI HigherOrder Systems (pg.
) 29 Type Operators and Kinding (pg. ) 30 HigherOrder Polymorphism (pg. ) 31 HigherOrder Subtyping (pg. ) 32 Case Study: Purely Functional Objects (pg. ) Appendices (pg. ) A Solutions to Selected Exercises (pg.
) B Notational Conventions (pg. ) References (pg. ) Index (pg. This paper proposes a session typing system for the higherorder πcalculus (the HOπcalculus) with asynchronous communication subtyping, which allows partial commutativity of actions in higherorder system enables two complementary kinds of optimisation, mobile code and asynchronous permutation of session actions, within processes that utilise structured, typed.
Details Higherorder subtyping FB2
Search ACM Digital Library. Search. Advanced Search. Abstract. We present an algorithm for deciding polarized higherorder subtyping without bounded quantification. Constructors are identified not only modulo β, but also give a direct proof of completeness, without constructing a model or establishing a strong normalization theorem.
This paper gives the first proof that the subtyping relation of a higherorder lambda calculus, ℱ ⩽ ω, is antisymmetric, establishing in the process that the subtyping relation is a partial.
Unlike subtyping, matching does not support subsumption, but it does support inheritance of binary methods. We argue that matching is a good idea, but that it should not be regarded as a form of Fbounded subtyping (as was originally intended).
We show that a new interpretation of matching as higherorder subtyping has better properties. Higherorder subtyping and bounded polymorphism (1 and 2) have been formalized in Fomegasub and its many variants; type definitions of various degrees of opacity (3) have been formalized through extensions of Fomega with singleton types.
In this dissertation, I propose type intervals as a unifying concept for expressing () and other. Title: HigherOrder Size Checking without Subtyping: Author(s): Góbi, A.; Shkaravska, O.; Eekelen, M.C.J.D. van Publication year: In: Loidl, H.W.; Peña, R. Abstract. This paper studies one important aspect of distributed systems, locality, using a calculus of distributed higherorder processes in which not only basic values or channels, but also parameterised processes are transferred across distinct integration of the subtyping of λcalculus and IOsubtyping of the πcalculus offers a tractable tool to control the locality of.
The compiler would require to be extended with something like "higherorder subtyping".
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I am however unsure if this is something that exists or if this is the best solution. I will provide a (simplified) example of my problem and am curious what are known solutions (with academic papers and text books) to. Unlike subtyping, matching does not support subsumption, but it does support inheritance of binary methods.
We argue that matching is a good idea, but that it should not be regarded as a form of Fbounded subtyping (as was originally intended). We show that a new interpretation of matching as higherorder subtyping has better properties. Abstract.
Description Higherorder subtyping EPUB
This paper shows that the subtyping relation of a higherorder lambda calculus, \(\mathcal{F}_ \leqslant ^w \), is exhibits the first such proof, establishing in the process that the subtyping relation is a partial order—reflexive, transitive, and.
The firstorder theory of subtypes as inclusions developed in Part I is extended to a higherorder context.
This involves providing a higherorder equational logic for (inclusive) subtypes, a categorical semantics for such a logic that is complete and has initial models, and a proof that this higherorder logic is a conservative extension of its firstorder counterpart.
This higherorder. When you are revising your papers, not every element of your work should have equal priority. The most important parts of your paper, often called "Higher Order Concerns (HOCs)," are the "big picture" elements such as thesis or focus, audience and purpose, organization, and development.
Decidability of higherorder subtyping with intersection types. Pages Towards machinechecked compiler correctness for higherorder pure functional languages. Pages Lester, David (et al.) *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.
ebook access is temporary and. Type Systems for Programming Languages Benjamin C. Pierce [email protected] en n. ed u Working draft of Janu This is preliminary draft of a book in progress. Gang Chen. Subtyping calculus of construction. In Mathematical Foundations of Computer Science (MFCS'97), Bratislava, Slovakia, volumepages SpringerVerlag, August Google Scholar; Adriana B.
Compagnoni. HigherOrder Subtyping with Intersection Types. PhD thesis, University of Nijmegen, The Netherlands, Google Scholar. Abstract. System F is an extension with subtyping of Girard's higherorder polymorphic calculus. We develop the fundamental metatheory of this calculus: decidability of ficonversion on wellkinded types, elimination of the "cutrule" of transitivity from the subtype relation, and the soundness, completeness, and termination of algorithms for subtyping and typechecking.
Explicit instruction in thinking skills must be a priority goal of all teachers. In this book, the author presents a framework of the five Rs: Relevancy, Richness, Relatedness, Rigor, and Recursiveness. The framework serves to illuminate instruction in critical and creative thinking skills for K teachers across content chapter treats one category of thinking skills.
Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambdacalculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators.
30 HigherOrder Polymorphism Deﬁnitions Example Properties Fragments of Fω Going Further: Dependent Types 31 HigherOrder Subtyping Intuitions Deﬁnitions Properties Notes 32 Case Study: Purely Functional Objects Simple Objects Constructor subtyping. In Proceedings of the 8th European Symposium on Programming (ESOP) Amsterdam, The Netherlands.
Lecture Notes in Computer Science, vol.Springer Verlag, Berlin, Germany. ]] Google Scholar; Barthe, G. and van Raamsdonk, F. Constructor subtyping in the calculus of inductive constructions. Using a settheoretic model of predicate transformers and ordered data types, we give a totalcorrectness semantics for a typed higherorder imperative programming language that includes record extension, local variables, and proceduretype variables and parameters.







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