C. Petersen, M. Görges, D. Dunsmuir, J. Ansermino, G. Dumont
A modular framework for the development of medical applications that promotes deterministic, robust and correct code is presented. The system is based on the portable Gambit Scheme programming language and provides a flexible cross-platform environment for developing graphical applications on mobile devices as well as medical instrumentation interfaces running on embedded platforms. Real world applications of this framework for mobile diagnostics, telemonitoring and automated drug infusions are reported. The source code for the core framework is open source and available at: https://github.com/part-cw/lambdanative.
{"title":"Experience report: functional programming of mHealth applications","authors":"C. Petersen, M. Görges, D. Dunsmuir, J. Ansermino, G. Dumont","doi":"10.1145/2500365.2500615","DOIUrl":"https://doi.org/10.1145/2500365.2500615","url":null,"abstract":"A modular framework for the development of medical applications that promotes deterministic, robust and correct code is presented. The system is based on the portable Gambit Scheme programming language and provides a flexible cross-platform environment for developing graphical applications on mobile devices as well as medical instrumentation interfaces running on embedded platforms. Real world applications of this framework for mobile diagnostics, telemonitoring and automated drug infusions are reported. The source code for the core framework is open source and available at: https://github.com/part-cw/lambdanative.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85027363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We report on the design and implementation of an extensible programming language and its intrinsic support for formal verification. Our language is targeted at low-level programming of infrastructure like operating systems and runtime systems. It is based on a cross-platform core combining characteristics of assembly languages and compiler intermediate languages. From this foundation, we take literally the saying that C is a "macro assembly language": we introduce an expressive notion of certified low-level macros, sufficient to build up the usual features of C and beyond as macros with no special support in the core. Furthermore, our macros have integrated support for strongest postcondition calculation and verification condition generation, so that we can provide a high-productivity formal verification environment within Coq for programs composed from any combination of macros. Our macro interface is expressive enough to support features that low-level programs usually only access through external tools with no formal guarantees, such as declarative parsing or SQL-inspired querying. The abstraction level of these macros only imposes a compile-time cost, via the execution of functional Coq programs that compute programs in our intermediate language; but the run-time cost is not substantially greater than for more conventional C code. We describe our experiences constructing a full C-like language stack using macros, with some experiments on the verifiability and performance of individual programs running on that stack.
{"title":"The bedrock structured programming system: combining generative metaprogramming and hoare logic in an extensible program verifier","authors":"A. Chlipala","doi":"10.1145/2500365.2500592","DOIUrl":"https://doi.org/10.1145/2500365.2500592","url":null,"abstract":"We report on the design and implementation of an extensible programming language and its intrinsic support for formal verification. Our language is targeted at low-level programming of infrastructure like operating systems and runtime systems. It is based on a cross-platform core combining characteristics of assembly languages and compiler intermediate languages. From this foundation, we take literally the saying that C is a \"macro assembly language\": we introduce an expressive notion of certified low-level macros, sufficient to build up the usual features of C and beyond as macros with no special support in the core. Furthermore, our macros have integrated support for strongest postcondition calculation and verification condition generation, so that we can provide a high-productivity formal verification environment within Coq for programs composed from any combination of macros. Our macro interface is expressive enough to support features that low-level programs usually only access through external tools with no formal guarantees, such as declarative parsing or SQL-inspired querying. The abstraction level of these macros only imposes a compile-time cost, via the execution of functional Coq programs that compute programs in our intermediate language; but the run-time cost is not substantially greater than for more conventional C code. We describe our experiences constructing a full C-like language stack using macros, with some experiments on the verifiability and performance of individual programs running on that stack.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84933973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Coercions and threesomes both enable a language to combine static and dynamic types while avoiding cast-based space leaks. Coercion calculi elegantly specify space-efficient cast behavior, even when augmented with blame tracking, but implementing their semantics directly is difficult. Threesomes, on the other hand, have a straightforward recursive implementation, but endowing them with blame tracking is challenging. In this paper, we show that you can use that elegant spec to produce that straightforward implementation: we use the coercion calculus to derive threesomes with blame. In particular, we construct novel threesome calculi for blame tracking strategies that detect errors earlier, catch more errors, and reflect an intuitive conception of safe and unsafe casts based on traditional subtyping.
{"title":"Calculating threesomes, with blame","authors":"Ronald Garcia","doi":"10.1145/2500365.2500603","DOIUrl":"https://doi.org/10.1145/2500365.2500603","url":null,"abstract":"Coercions and threesomes both enable a language to combine static and dynamic types while avoiding cast-based space leaks. Coercion calculi elegantly specify space-efficient cast behavior, even when augmented with blame tracking, but implementing their semantics directly is difficult. Threesomes, on the other hand, have a straightforward recursive implementation, but endowing them with blame tracking is challenging. In this paper, we show that you can use that elegant spec to produce that straightforward implementation: we use the coercion calculus to derive threesomes with blame. In particular, we construct novel threesome calculi for blame tracking strategies that detect errors earlier, catch more errors, and reflect an intuitive conception of safe and unsafe casts based on traditional subtyping.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88617209","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We describe a functional programming approach to the design of outlines of eighteenth-century string instruments. The approach is based on the research described in François Denis's book, Traité de lutherie. The programming vernacular for Denis's instructions, which we call functional geometry, is meant to reiterate the historically justified language and techniques of this musical instrument design. The programming metaphor is entirely Euclidean, involving straightedge and compass constructions, with few (if any) numbers, and no Cartesian equations or grid. As such, it is also an interesting approach to teaching programming and mathematics without numerical calculation or equational reasoning. The advantage of this language-based, functional approach to lutherie is founded in the abstract characterization of common patterns in instrument design. These patterns include not only the abstraction of common straightedge and compass constructions, but of higher-order conceptualization of the instrument design process. We also discuss the role of arithmetic, geometric, harmonic, and subharmonic proportions, and the use of their rational approximants.
我们描述了一种函数式编程方法来设计18世纪弦乐器的轮廓。这种方法是基于弗朗索瓦·丹尼斯(francois Denis)的书《鲁特理论》(trait de lutherie)中所描述的研究。丹尼斯指令的编程语言，我们称之为功能几何，旨在重申这种乐器设计的历史合理的语言和技术。编程的隐喻完全是欧几里得式的，包括直线和罗盘结构，很少(如果有的话)数字，没有笛卡尔方程或网格。因此，它也是一种有趣的方法来教授编程和数学，而不需要数值计算或方程推理。这种基于语言的功能方法的优势是建立在乐器设计中常见模式的抽象表征上。这些模式不仅包括对普通直尺和罗盘结构的抽象，还包括对仪器设计过程的高阶概念化。我们还讨论了算术比例、几何比例、调和比例和次调和比例的作用，以及它们的有理近似的使用。
{"title":"Functional geometry and the Traité de Lutherie: functional pearl","authors":"Harry G. Mairson","doi":"10.1145/2500365.2500617","DOIUrl":"https://doi.org/10.1145/2500365.2500617","url":null,"abstract":"We describe a functional programming approach to the design of outlines of eighteenth-century string instruments. The approach is based on the research described in François Denis's book, Traité de lutherie. The programming vernacular for Denis's instructions, which we call functional geometry, is meant to reiterate the historically justified language and techniques of this musical instrument design. The programming metaphor is entirely Euclidean, involving straightedge and compass constructions, with few (if any) numbers, and no Cartesian equations or grid. As such, it is also an interesting approach to teaching programming and mathematics without numerical calculation or equational reasoning. The advantage of this language-based, functional approach to lutherie is founded in the abstract characterization of common patterns in instrument design. These patterns include not only the abstraction of common straightedge and compass constructions, but of higher-order conceptualization of the instrument design process. We also discuss the role of arithmetic, geometric, harmonic, and subharmonic proportions, and the use of their rational approximants.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88565047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
System FC, the core language of the Glasgow Haskell Compiler, is an explicitly-typed variant of System F with first-class type equality proofs called coercions. This extensible proof system forms the foundation for type system extensions such as type families (type-level functions) and Generalized Algebraic Datatypes (GADTs). Such features, in conjunction with kind polymorphism and datatype promotion, support expressive compile-time reasoning. However, the core language lacks explicit kind equality proofs. As a result, type-level computation does not have access to kind-level functions or promoted GADTs, the type-level analogues to expression-level features that have been so useful. In this paper, we eliminate such discrepancies by introducing kind equalities to System FC. Our approach is based on dependent type systems with heterogeneous equality and the "Type-in-Type" axiom, yet it preserves the metatheoretic properties of FC. In particular, type checking is simple, decidable and syntax directed. We prove the preservation and progress theorems for the extended language.
System FC是格拉斯哥Haskell编译器的核心语言，是System F的显式类型变体，具有称为强制的一等类型相等证明。这个可扩展的证明系统构成了类型系统扩展的基础，例如类型族(类型级函数)和广义代数数据类型(gadt)。这些特性与种类多态性和数据类型提升结合在一起，支持表达性编译时推理。然而，核心语言缺乏明确的类相等证明。因此，类型级计算不能访问类型级函数或提升的gadt，类型级类似于非常有用的表达式级特性。在本文中，我们通过在系统FC中引入类等式来消除这种差异。我们的方法基于具有异构相等的依赖类型系统和“类型中的类型”公理，但它保留了FC的元理论性质。特别是，类型检查是简单的、可确定的和有语法指导的。我们证明了扩展语言的保存定理和进展定理。
{"title":"System FC with explicit kind equality","authors":"Stephanie Weirich, Justin Hsu, R. Eisenberg","doi":"10.1145/2500365.2500599","DOIUrl":"https://doi.org/10.1145/2500365.2500599","url":null,"abstract":"System FC, the core language of the Glasgow Haskell Compiler, is an explicitly-typed variant of System F with first-class type equality proofs called coercions. This extensible proof system forms the foundation for type system extensions such as type families (type-level functions) and Generalized Algebraic Datatypes (GADTs). Such features, in conjunction with kind polymorphism and datatype promotion, support expressive compile-time reasoning. However, the core language lacks explicit kind equality proofs. As a result, type-level computation does not have access to kind-level functions or promoted GADTs, the type-level analogues to expression-level features that have been so useful. In this paper, we eliminate such discrepancies by introducing kind equalities to System FC. Our approach is based on dependent type systems with heterogeneous equality and the \"Type-in-Type\" axiom, yet it preserves the metatheoretic properties of FC. In particular, type checking is simple, decidable and syntax directed. We prove the preservation and progress theorems for the extended language.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85867788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Purely functional, embedded array programs are a good match for SIMD hardware, such as GPUs. However, the naive compilation of such programs quickly leads to both code explosion and an excessive use of intermediate data structures. The resulting slow-down is not acceptable on target hardware that is usually chosen to achieve high performance. In this paper, we discuss two optimisation techniques, sharing recovery and array fusion, that tackle code explosion and eliminate superfluous intermediate structures. Both techniques are well known from other contexts, but they present unique challenges for an embedded language compiled for execution on a GPU. We present novel methods for implementing sharing recovery and array fusion, and demonstrate their effectiveness on a set of benchmarks.
{"title":"Optimising purely functional GPU programs","authors":"T. L. McDonell","doi":"10.1145/2500365.2500595","DOIUrl":"https://doi.org/10.1145/2500365.2500595","url":null,"abstract":"Purely functional, embedded array programs are a good match for SIMD hardware, such as GPUs. However, the naive compilation of such programs quickly leads to both code explosion and an excessive use of intermediate data structures. The resulting slow-down is not acceptable on target hardware that is usually chosen to achieve high performance. In this paper, we discuss two optimisation techniques, sharing recovery and array fusion, that tackle code explosion and eliminate superfluous intermediate structures. Both techniques are well known from other contexts, but they present unique challenges for an embedded language compiled for execution on a GPU. We present novel methods for implementing sharing recovery and array fusion, and demonstrate their effectiveness on a set of benchmarks.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88380283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Contemporary compilers must typically handle sophisticated high-level source languages, generate efficient code for multiple hardware architectures and operating systems, and support source-level debugging, profiling, and other program development tools. As a result, compilers tend to be among the most complex of software systems. Nanopass frameworks are designed to help manage this complexity. A nanopass compiler is comprised of many single-task passes with formally defined intermediate languages. The perceived downside of a nanopass compiler is that the extra passes will lead to substantially longer compilation times. To determine whether this is the case, we have created a plug replacement for the commercial Chez Scheme compiler, implemented using an updated nanopass framework, and we have compared the speed of the new compiler and the code it generates against the original compiler for a large set of benchmark programs. This paper describes the updated nanopass framework, the new compiler, and the results of our experiments. The compiler produces faster code than the original, averaging 15-27% depending on architecture and optimization level, due to a more sophisticated but slower register allocator and improvements to several optimizations. Compilation times average well within a factor of two of the original compiler, despite the slower register allocator and the replacement of five passes of the original 10 with over 50 nanopasses.
{"title":"A nanopass framework for commercial compiler development","authors":"Andrew W. Keep, R. Dybvig","doi":"10.1145/2500365.2500618","DOIUrl":"https://doi.org/10.1145/2500365.2500618","url":null,"abstract":"Contemporary compilers must typically handle sophisticated high-level source languages, generate efficient code for multiple hardware architectures and operating systems, and support source-level debugging, profiling, and other program development tools. As a result, compilers tend to be among the most complex of software systems. Nanopass frameworks are designed to help manage this complexity. A nanopass compiler is comprised of many single-task passes with formally defined intermediate languages. The perceived downside of a nanopass compiler is that the extra passes will lead to substantially longer compilation times. To determine whether this is the case, we have created a plug replacement for the commercial Chez Scheme compiler, implemented using an updated nanopass framework, and we have compared the speed of the new compiler and the code it generates against the original compiler for a large set of benchmark programs. This paper describes the updated nanopass framework, the new compiler, and the results of our experiments. The compiler produces faster code than the original, averaging 15-27% depending on architecture and optimization level, due to a more sophisticated but slower register allocator and improvements to several optimizations. Compilation times average well within a factor of two of the original compiler, despite the slower register allocator and the replacement of five passes of the original 10 with over 50 nanopasses.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83220427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Monadic second-order logic on finite words (MSO) is a decidable yet expressive logic into which many decision problems can be encoded. Since MSO formulas correspond to regular languages, equivalence of MSO formulas can be reduced to the equivalence of some regular structures (e.g. automata). This paper presents a verified functional decision procedure for MSO formulas that is not based on automata but on regular expressions. Functional languages are ideally suited for this task: regular expressions are data types and functions on them are defined by pattern matching and recursion and are verified by structural induction. Decision procedures for regular expression equivalence have been formalized before, usually based on Brzozowski derivatives. Yet, for a straightforward embedding of MSO formulas into regular expressions an extension of regular expressions with a projection operation is required. We prove total correctness and completeness of an equivalence checker for regular expressions extended in that way. We also define a language-preserving translation of formulas into regular expressions with respect to two different semantics of MSO. Our results have been formalized and verified in the theorem prover Isabelle. Using Isabelle's code generation facility, this yields purely functional, formally verified programs that decide equivalence of MSO formulas.
{"title":"Verified decision procedures for MSO on words based on derivatives of regular expressions","authors":"Dmitriy Traytel, T. Nipkow","doi":"10.1145/2500365.2500612","DOIUrl":"https://doi.org/10.1145/2500365.2500612","url":null,"abstract":"Monadic second-order logic on finite words (MSO) is a decidable yet expressive logic into which many decision problems can be encoded. Since MSO formulas correspond to regular languages, equivalence of MSO formulas can be reduced to the equivalence of some regular structures (e.g. automata). This paper presents a verified functional decision procedure for MSO formulas that is not based on automata but on regular expressions. Functional languages are ideally suited for this task: regular expressions are data types and functions on them are defined by pattern matching and recursion and are verified by structural induction. Decision procedures for regular expression equivalence have been formalized before, usually based on Brzozowski derivatives. Yet, for a straightforward embedding of MSO formulas into regular expressions an extension of regular expressions with a projection operation is required. We prove total correctness and completeness of an equivalence checker for regular expressions extended in that way. We also define a language-preserving translation of formulas into regular expressions with respect to two different semantics of MSO. Our results have been formalized and verified in the theorem prover Isabelle. Using Isabelle's code generation facility, this yields purely functional, formally verified programs that decide equivalence of MSO formulas.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89975260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Total functional programming offers the beguiling vision that, just by virtue of the compiler accepting a program, we are guaranteed that it will always terminate. In the case of programs that are not intended to terminate, e.g., servers, we are guaranteed that programs will always be productive. Productivity means that, even if a program generates an infinite amount of data, each piece will be generated in finite time. The theoretical underpinning for productive programming with infinite output is provided by the category theoretic notion of final coalgebras. Hence, we speak of coprogramming with non-well-founded codata, as a dual to programming with well-founded data like finite lists and trees. Systems that offer facilities for productive coprogramming, such as the proof assistants Coq and Agda, currently do so through syntactic guardedness checkers. Syntactic guardedness checkers ensure that all self-recursive calls are guarded by a use of a constructor. Such a check ensures productivity. Unfortunately, these syntactic checks are not compositional, and severely complicate coprogramming. Guarded recursion, originally due to Nakano, is tantalising as a basis for a flexible and compositional type-based approach to coprogramming. However, as we show, by itself, guarded recursion is not suitable for coprogramming due to the fact that there is no way to make finite observations on pieces of infinite data. In this paper, we introduce the concept of clock variables that index Nakano's guarded recursion. Clock variables allow us to "close over" the generation of infinite data, and to make finite observations, something that is not possible with guarded recursion alone.
{"title":"Productive coprogramming with guarded recursion","authors":"R. Atkey, Conor McBride","doi":"10.1145/2500365.2500597","DOIUrl":"https://doi.org/10.1145/2500365.2500597","url":null,"abstract":"Total functional programming offers the beguiling vision that, just by virtue of the compiler accepting a program, we are guaranteed that it will always terminate. In the case of programs that are not intended to terminate, e.g., servers, we are guaranteed that programs will always be productive. Productivity means that, even if a program generates an infinite amount of data, each piece will be generated in finite time. The theoretical underpinning for productive programming with infinite output is provided by the category theoretic notion of final coalgebras. Hence, we speak of coprogramming with non-well-founded codata, as a dual to programming with well-founded data like finite lists and trees. Systems that offer facilities for productive coprogramming, such as the proof assistants Coq and Agda, currently do so through syntactic guardedness checkers. Syntactic guardedness checkers ensure that all self-recursive calls are guarded by a use of a constructor. Such a check ensures productivity. Unfortunately, these syntactic checks are not compositional, and severely complicate coprogramming. Guarded recursion, originally due to Nakano, is tantalising as a basis for a flexible and compositional type-based approach to coprogramming. However, as we show, by itself, guarded recursion is not suitable for coprogramming due to the fact that there is no way to make finite observations on pieces of infinite data. In this paper, we introduce the concept of clock variables that index Nakano's guarded recursion. Clock variables allow us to \"close over\" the generation of infinite data, and to make finite observations, something that is not possible with guarded recursion alone.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74045946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Functional Reactive Programming (FRP) is an approach to the development of reactive systems which provides a pure functional interface, but which may be implemented as an abstraction of an imperative event-driven layer. FRP systems typically provide a model of behaviours (total time-indexed values, implemented as pull systems) and event sources (partial time-indexed values, implemented as push systems). In this paper, we investigate a type system for event-driven FRP programs which provide liveness guarantees, that is every input event is guaranteed to generate an output event. We show that FRP can be implemented on top of a model of sets and relations, and that the isomorphism between event sources and behaviours corresponds to the isomorphism between relations and set-valued functions. We then implement sets and relations using a model of continuations using the usual double-negation CPS transform. The implementation of behaviours as pull systems based on futures, and of event sources as push systems based on the observer pattern, thus arises from first principles. We also discuss a Java implementation of the FRP model.
{"title":"Functional reactive programming with liveness guarantees","authors":"A. Jeffrey","doi":"10.1145/2500365.2500584","DOIUrl":"https://doi.org/10.1145/2500365.2500584","url":null,"abstract":"Functional Reactive Programming (FRP) is an approach to the development of reactive systems which provides a pure functional interface, but which may be implemented as an abstraction of an imperative event-driven layer. FRP systems typically provide a model of behaviours (total time-indexed values, implemented as pull systems) and event sources (partial time-indexed values, implemented as push systems). In this paper, we investigate a type system for event-driven FRP programs which provide liveness guarantees, that is every input event is guaranteed to generate an output event. We show that FRP can be implemented on top of a model of sets and relations, and that the isomorphism between event sources and behaviours corresponds to the isomorphism between relations and set-valued functions. We then implement sets and relations using a model of continuations using the usual double-negation CPS transform. The implementation of behaviours as pull systems based on futures, and of event sources as push systems based on the observer pattern, thus arises from first principles. We also discuss a Java implementation of the FRP model.","PeriodicalId":20504,"journal":{"name":"Proceedings of the 18th ACM SIGPLAN international conference on Functional programming","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78094382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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