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49
Abstracting Control
 In Proceedings of the 1990 ACM Conference on LISP and Functional Programming
, 1990
"... The last few years have seen a renewed interest in continuations for expressing advanced control structures in programming languages, and new models such as Abstract Continuations have been proposed to capture these dimensions. This article investigates an alternative formulation, exploiting the lat ..."
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Cited by 94 (6 self)
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The last few years have seen a renewed interest in continuations for expressing advanced control structures in programming languages, and new models such as Abstract Continuations have been proposed to capture these dimensions. This article investigates an alternative formulation, exploiting the latent expressive power of the standard continuationpassing style (CPS) instead of introducing yet other new concepts. We build on a single foundation: abstracting control as a hierarchy of continuations, each one modeling a specific language feature as acting on nested evaluation contexts. We show how iterating the continuationpassing conversion allows us to specify a wide range of control behavior. For example, two conversions yield an abstraction of Prologstyle backtracking. A number of other constructs can likewise be expressed i...
Explaining Crossover and Superiority as LefttoRight Evaluation
 LINGUISTICS AND PHILOSOPHY
, 2006
"... We present a general theory of scope and binding in which both crossover and superiority violations are ruled out by one key assumption: that natural language expressions are normally evaluated (processed) from left to right. Our theory is an extension of Shan’s (2002) account of multiplewh questi ..."
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Cited by 44 (11 self)
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We present a general theory of scope and binding in which both crossover and superiority violations are ruled out by one key assumption: that natural language expressions are normally evaluated (processed) from left to right. Our theory is an extension of Shan’s (2002) account of multiplewh questions, combining continuations (Barker, 2002) and dynamic typeshifting. Like other continuationbased analyses, but unlike most other treatments of crossover or superiority, our analysis is directly compositional (in the sense of, e.g., Jacobson, 1999). In particular, it does not postulate a level of Logical Form or any other representation distinct from surface syntax. One advantage of using continuations is that they are the standard tool for modeling orderofevaluation in programming languages. This provides us with a natural and independently motivated characterization of what it means to evaluate expressions from left to right. We give a combinatory categorial grammar that models the syntax and the semantics of quantifier scope and whquestion formation. It allows quantificational binding but not crossover, insitu wh but not superiority violations. In addition, the analysis automatically accounts for a variety of sentence types involving binding in the presence of pied piping, including reconstruction cases such as Whose criticism of hisi mother did each personi resent?
Parameterised notions of computation
 In MSFP 2006: Workshop on mathematically structured functional programming, ed. Conor McBride and Tarmo Uustalu. Electronic Workshops in Computing, British Computer Society
, 2006
"... Moggi’s Computational Monads and Power et al’s equivalent notion of Freyd category have captured a large range of computational effects present in programming languages such as exceptions, sideeffects, input/output and continuations. We present generalisations of both constructs, which we call para ..."
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Cited by 37 (3 self)
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Moggi’s Computational Monads and Power et al’s equivalent notion of Freyd category have captured a large range of computational effects present in programming languages such as exceptions, sideeffects, input/output and continuations. We present generalisations of both constructs, which we call parameterised monads and parameterised Freyd categories, that also capture computational effects with parameters. Examples of such are composable continuations, sideeffects where the type of the state varies and input/output where the range of inputs and outputs varies. By also considering monoidal parameterisation, we extend the range of effects to cover separated sideeffects and multiple independent streams of I/O. We also present two typed λcalculi that soundly and completely model our categorical definitions — with and without monoidal parameterisation — and act as prototypical languages with parameterised effects.
Monads and Composable Continuations
, 1993
"... . Moggi's use of monads to factor semantics is used to model the composable continuations of Danvy and Filinski. This yields some insights into the type systems proposed by Murthy and by Danvy and Filinski. Interestingly, modelling some aspects of composable continuations requires a structure that i ..."
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Cited by 34 (1 self)
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. Moggi's use of monads to factor semantics is used to model the composable continuations of Danvy and Filinski. This yields some insights into the type systems proposed by Murthy and by Danvy and Filinski. Interestingly, modelling some aspects of composable continuations requires a structure that is almost, but not quite, a monad. 1. Introduction Continuationpassing style was introduced to model one feature of programming languages  the jump  and to explicate the execution order of programs [14, 12]. Recently, Moggi has shown how monads, a notion from category theory, generalise the continuationpassing style transformation [9]. Monads can model a wide variety of features, including continuations, state, exceptions, inputoutput, nondeterminism, and parallellism. Monads have also been applied both as a way of structuring functional programs [16, 17] and as a way of introducing new features into functional languages [11]. It begins to seem as if any feature of a programming lang...
Delimited Dynamic Binding
, 2006
"... Dynamic binding and delimited control are useful together in many settings, including Web applications, database cursors, and mobile code. We examine this pair of language features to show that the semantics of their interaction is illdefined yet not expressive enough for these uses. We solve this ..."
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Cited by 31 (11 self)
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Dynamic binding and delimited control are useful together in many settings, including Web applications, database cursors, and mobile code. We examine this pair of language features to show that the semantics of their interaction is illdefined yet not expressive enough for these uses. We solve this open and subtle problem. We formalise a typed language DB+DC that combines a calculus DB of dynamic binding and a calculus DC of delimited control. We argue from theoretical and practical points of view that its semantics should be based on delimited dynamic binding: capturing a delimited continuation closes over part of the dynamic environment, rather than all or none of it; reinstating the captured continuation supplements the dynamic environment, rather than replacing or inheriting it. We introduce a type and reductionpreserving translation from DB + DC to DC, which proves that delimited control macroexpresses dynamic binding. We use this translation to implement DB + DC in Scheme, OCaml, and Haskell. We extend DB + DC with mutable dynamic variables and a facility to obtain not only the latest binding of a dynamic variable but also older bindings. This facility provides for stack inspection and (more generally) folding over the execution context as an inductive data structure.
A Dynamic Extent Control Operator for Partial Continuations
 In Conference Record of the Eighteenth Annual ACM Symposium on Principles of Programming Languages
, 1991
"... : A partial continuation is a prefix of the computation that remains to be done. We propose in this paper a new operator which precisely controls which prefix is to be abstracted into a partial continuation. This operator is strongly related to the notion of dynamic extent which we denotationally ch ..."
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Cited by 30 (6 self)
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: A partial continuation is a prefix of the computation that remains to be done. We propose in this paper a new operator which precisely controls which prefix is to be abstracted into a partial continuation. This operator is strongly related to the notion of dynamic extent which we denotationally characterize. Some programming examples are commented and we also show how to express previously proposed control operators. A suggested implementation is eventually discussed. Keywords: continuation, partial continuation, dynamic and indefinite extent, escape feature. Continuations were introduced within denotational semantics to express the "rest of the computation" in these cases where some constructs of a language can alter it. Non local exits or jumps (stop, goto), exception handling, failure semantics in Prologlike languages are usually described with continuations [Stoy 77, Schmidt 86]. The Scheme language [Rees & Clinger 86] offers procedural firstclass continuations with indefinit...
Declarative Continuations and Categorical Duality
, 1989
"... This thesis presents a formalism for reasoning about continuations in a categorical setting. It points out how values and continuations ca n be seen as categorically dual concepts, and that this symmetry extends to not only data types, but also control structures, evaluation strategies and higheror ..."
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Cited by 29 (0 self)
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This thesis presents a formalism for reasoning about continuations in a categorical setting. It points out how values and continuations ca n be seen as categorically dual concepts, and that this symmetry extends to not only data types, but also control structures, evaluation strategies and higherorder constructs. The central idea is a view of continuations as a declarative concept, rather than an imperative one, and the implicat ions of this make up the spine of the presentation. A symmetrical extension of the typed *calculus is introduced, where values and continuations are treated as opposites, permitting a mirrorimage syntax for dual categorical concepts like products and coproducts. An implementable semantic description and a static type system for this calculus are given. A purely categorical description of the language is also obtained, through a correspondence with a system of combinatory logic, similar to a cartesian closed category, but with a completely symmetrical set of axioms. Finally, a number of possible practical applications and directions for further research are suggested.
A rational deconstruction of Landin’s SECD machine
 Implementation and Application of Functional Languages, 16th International Workshop, IFL’04, number 3474 in Lecture Notes in Computer Science
, 2004
"... Abstract. Landin’s SECD machine was the first abstract machine for applicative expressions, i.e., functional programs. Landin’s J operator was the first control operator for functional languages, and was specified by an extension of the SECD machine. We present a family of evaluation functions corre ..."
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Cited by 27 (19 self)
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Abstract. Landin’s SECD machine was the first abstract machine for applicative expressions, i.e., functional programs. Landin’s J operator was the first control operator for functional languages, and was specified by an extension of the SECD machine. We present a family of evaluation functions corresponding to this extension of the SECD machine, using a series of elementary transformations (transformation into continuationpassing style (CPS) and defunctionalization, chiefly) and their left inverses (transformation into direct style and refunctionalization). To this end, we modernize the SECD machine into a bisimilar one that operates in lockstep with the original one but that (1) does not use a data stack and (2) uses the callersave rather than the calleesave convention for environments. We also identify that the dump component of the SECD machine is managed in a calleesave way. The callersave counterpart of the modernized SECD machine precisely corresponds to Thielecke’s doublebarrelled continuations and to Felleisen’s encoding of J in terms of call/cc. We then variously characterize the J operator in terms of CPS and in terms of delimitedcontrol operators in the CPS hierarchy. As a byproduct, we also present several reduction semantics for applicative expressions
Reasoning about Continuations with Control Effects
, 1989
"... We present a new static analysis method for firstclass continuations that uses an effect system to classify the control domain behavior of expressions in a typed polymorphic language. We introduce two new control effects, goto and comefrom, that describe the control flow properties of expressions. ..."
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Cited by 25 (4 self)
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We present a new static analysis method for firstclass continuations that uses an effect system to classify the control domain behavior of expressions in a typed polymorphic language. We introduce two new control effects, goto and comefrom, that describe the control flow properties of expressions. An expression that does not haveagoto effect is said to be continuation following because it will always call its passed return continuation. An expression that does not haveacomefrom effect is said to be continuation discarding because it will never preserve its return continuation for later use. Unobservable control effects can be masked by the effect system. Control effect soundness theorems guarantee that the effects computed statically by the effect system are a conservative approximation of the dynamic behavior of an expression. The effect