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Lively Linear Lisp  'Look Ma, No Garbage!'
 ACM Sigplan Notices
, 1992
"... Linear logic has been proposed as one solution to the problem of garbage collection and providing efficient "updatein place" capabilities within a more functional language. Linear logic conserves accessibility, and hence provides a mechanical metaphor which is more appropriate for a distributedme ..."
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Cited by 92 (6 self)
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Linear logic has been proposed as one solution to the problem of garbage collection and providing efficient "updatein place" capabilities within a more functional language. Linear logic conserves accessibility, and hence provides a mechanical metaphor which is more appropriate for a distributedmemory parallel processor in which copying is explicit. However, linear logic's lack of sharing may introduce significant inefficiencies of its own. We show an efficient implementation of linear logic called Linear Lisp that runs within a constant factor of nonlinear logic. This Linear Lisp allows RPLACX operations, and manages storage as safely as a nonlinear Lisp, but does not need a garbage collector. Since it offers assignments but no sharing, it occupies a twilight zone between functional languages and imperative languages. Our Linear Lisp Machine offers many of the same capabilities as combinator/graph reduction machines, but without their copying and garbage collection problems. Intr...
Is there a use for linear logic?
, 1991
"... Past attempts to apply Girard's linear logic have either had a clear relation to the theory (Lafont, Holmstrom, Abramsky) or a clear practical value (Guzm'an and Hudak, Wadler), but not both. This paper defines a sequence of languages based on linear logic that span the gap between theory and practi ..."
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Cited by 88 (7 self)
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Past attempts to apply Girard's linear logic have either had a clear relation to the theory (Lafont, Holmstrom, Abramsky) or a clear practical value (Guzm'an and Hudak, Wadler), but not both. This paper defines a sequence of languages based on linear logic that span the gap between theory and practice. Type reconstruction in a linear type system can derive information about sharing. An approach to linear type reconstruction based on use types is presented. Applications to the array update problem are considered.
Operational Interpretations of Linear Logic
, 1998
"... Two different operational interpretations of intuitionistic linear logic have been proposed in the literature. The simplest interpretation recomputes nonlinear values every time they are required. It has good memorymanagement properties, but is often dismissed as being too inefficient. Alternative ..."
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Cited by 29 (0 self)
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Two different operational interpretations of intuitionistic linear logic have been proposed in the literature. The simplest interpretation recomputes nonlinear values every time they are required. It has good memorymanagement properties, but is often dismissed as being too inefficient. Alternatively, one can memoize the results of evaluating nonlinear values. This avoids any recomputation, but has weaker memorymanagement properties. Using a novel combination of typetheoretic and operational techniques we give a concise formal comparison of the two interpretations. Moreover, we show that there is a subset of linear logic where the two operational interpretations coincide. In this subset, which is sufficiently expressive to encode callbyvalue lambdacalculus, we can have the best of both worlds: a simple and efficient implementation, and good memorymanagement properties. Keywords: linear logic, operational semantics, callbyvalue lambda calculus, memory management. 1 Introductio...
Linear Logic
, 1992
"... this paper we will restrict attention to propositional linear logic. The sequent calculus notation, due to Gentzen [10], uses roman letters for propositions, and greek letters for sequences of formulas. A sequent is composed of two sequences of formulas separated by a `, or turnstile symbol. One may ..."
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Cited by 24 (1 self)
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this paper we will restrict attention to propositional linear logic. The sequent calculus notation, due to Gentzen [10], uses roman letters for propositions, and greek letters for sequences of formulas. A sequent is composed of two sequences of formulas separated by a `, or turnstile symbol. One may read the sequent \Delta ` \Gamma as asserting that the multiplicative conjunction of the formulas in \Delta together imply the multiplicative disjunction of the formulas in \Gamma. A sequent calculus proof rule consists of a set of hypothesis sequents, displayed above a horizontal line, and a single conclusion sequent, displayed below the line, as below: Hypothesis1 Hypothesis2 Conclusion 4 Connections to Other Logics
Correctness of Monadic State: An Imperative CallbyNeed Calculus
 In Proc. 25th ACM Symposium on Principles of Programming Languages
, 1998
"... The extension of Haskell with a builtin state monad combines mathematical elegance with operational efficiency: ffl Semantically, at the source language level, constructs that act on the state are viewed as functions that pass an explicit store data structure around. ffl Operationally, at the imp ..."
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Cited by 20 (2 self)
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The extension of Haskell with a builtin state monad combines mathematical elegance with operational efficiency: ffl Semantically, at the source language level, constructs that act on the state are viewed as functions that pass an explicit store data structure around. ffl Operationally, at the implementation level, constructs that act on the state are viewed as statements whose evaluation has the sideeffect of updating the implicit global store in place. There are several unproven conjectures that the two views are consistent. Recently, we have noted that the consistency of the two views is far from obvious: all it takes for the implementation to become unsound is one judiciouslyplaced betastep in the optimization phase of the compiler. This discovery motivates the current paper in which we formalize and show the correctness of the implementation of monadic state. For the proof, we first design a typed callbyneed language that models the intermediate language of the compiler, to...
Minimizing Reference Count Updating with Deferred and Anchored Pointers for Functional Data Structures
 ACM SIGPLAN Notices
, 1994
"... this paper. ..."
NREVERSAL of Fortune  The Thermodynamics of Garbage Collection
 In ACM Sigplan Notices
, 1977
"... The need to reverse a computation arises in many contextsdebugging, editor undoing, optimistic concurrency undoing, speculative computation undoing, trace scheduling, exception handling undoing, database recovery, optimistic discrete event simulations, subjunctive computing, etc. The need to anal ..."
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Cited by 14 (0 self)
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The need to reverse a computation arises in many contextsdebugging, editor undoing, optimistic concurrency undoing, speculative computation undoing, trace scheduling, exception handling undoing, database recovery, optimistic discrete event simulations, subjunctive computing, etc. The need to analyze a reversed computation arises in the context of static analysisliveness analysis, strictness analysis, type inference, etc. Traditional means for restoring a computation to a previous state involve checkpoints; checkpoints require time to copy, as well as space to store, the copied material. Traditional reverse abstract interpretation produces relatively poor information due to its inability to guess the previous values of assignedto variables. We propose an abstract computer model and a programming languageYLispwhose primitive operations are injective and hence reversible, thus allowing arbitrary undoing without the overheads of checkpointing. Such a computer can be built from reversible conservative logic circuits, with the serendipitous advantage of dissipating far less heat than traditional Boolean AND/OR/NOT circuits. Unlike functional languages, which have one "state " for all times, YLisp has at all times one "state", with unique predecessor and successor states. Compiling into a reversible pseudocode can have benefits even when targeting a traditional computer. Certain optimizations, e.g., updateinplace, and compiletime garbage collection may be more easily performed, because the
TIP in Haskell  another exercise in functional programming
 Proc. Glasgow Workshop on Functional Programming 1991
, 1991
"... Requests and Responses Working from the CTIP routine headers of Figure 1, it is a straightforward exercise to write most of the corresponding definitions of TipRequest and TipResponse shown in Figure 2. The introduction of the type YX for screen coordinates is perhaps the most immediately appare ..."
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Cited by 4 (1 self)
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Requests and Responses Working from the CTIP routine headers of Figure 1, it is a straightforward exercise to write most of the corresponding definitions of TipRequest and TipResponse shown in Figure 2. The introduction of the type YX for screen coordinates is perhaps the most immediately apparent change, but other less obvious changes are more significant. The new relationship of function and argument between TIP and the application means, first, that there is no need for requests Tstart or Tstop: tip simply wraps the evaluation of its argument in an appropriate context. Secondly, data TipRequest = data TipResponse = Tbell Tkey Char  Tbox YX YX  Tres Response  Tnobox YX YX  Tvoid  Ttitle String YX YX  Tyx YX  Tclear  Tmove YX  Trelmove YX  Tprintf YX Int String [String]  Tputc Char  Tputs String  Tread  Trefresh type YX = (Int,Int)  Treq Request  Tmax  Tpos Figure 2: Level 1 HTIP Interface. since tip controls all I/O on behalf...
A Partial Rehabilitation of SideEffecting I/O: NonDeterminism in NonStrict Functional Languages
, 1996
"... We investigate the extension of nonstrict functional languages like Haskell or Clean by a nondeterministic interaction with the external world. Using callbyneed and a natural semantics which describes the reduction of graphs, this can be done such that the ChurchRosser Theorems 1 and 2 hold. Ou ..."
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We investigate the extension of nonstrict functional languages like Haskell or Clean by a nondeterministic interaction with the external world. Using callbyneed and a natural semantics which describes the reduction of graphs, this can be done such that the ChurchRosser Theorems 1 and 2 hold. Our operational semantics is a base to recognise which particular equivalencies are preserved by program transformations. The amount of sequentialisation may be smaller than that enforced by other approaches, and the programming style is closer to the common one of sideeffecting programming. However, not all program transformations used by an optimising compiler for Haskell remain correct in all contexts. Our result can be interpreted as a possibility to extend current I/Omechanism by nondeterministic memoryless function calls. For example, this permits a call to a random number generator. Adding memoryless function calls to monadic I/O is possible and has a potential to extend the Haskell I...
March 1991
, 1991
"... Past attempts to apply Girard's linear logic have either had a clear relation to the theory (Lafont, Holmstrom, Abramsky) or a clear practical value (Guzm'an and Hudak, Wadler), but not both. This paper defines a sequence of languages based on linear logic that span the gap between theory and practi ..."
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Past attempts to apply Girard's linear logic have either had a clear relation to the theory (Lafont, Holmstrom, Abramsky) or a clear practical value (Guzm'an and Hudak, Wadler), but not both. This paper defines a sequence of languages based on linear logic that span the gap between theory and practice. Type reconstruction in a linear type system can derive information about sharing. An approach to linear type reconstruction based on use types is presented. Applications to the array update problem are considered. 1 Introduction Storage reuse; single threading; inplace update; sharing analysis; linearity: any problem with so many names must be important. Girard's linear logic has intrigued computer scientists with its promise to focus new light on this old subject. (It also hints at enlightenment with regard to parallelism, but that's a topic for other papers.) Attempts to apply linear logic fall into two camps, the theoreticians and the practitioners. On the theoretical side sit Lafo...