2,199 papers · page 90 of 110
A new general notion of model for the polymorphic lambda calculus based on the simple idea of a universe, is proposed. Although impossible in nonconstructive set theory, the notion is unproblematic for constructive sets, yields completeness and initiality theorems, and can be use…
The definitions of Conjunctive types and their subtype relation, as introduced by Coppo-Dezani, are extended to consider the conjunction as a partial mapping from pairs of types to types, and the subtype relation as a relation between finite sets of types and types. These extensi…
This paper concerns the algebraic specification of abstract data types. It introduces and motivates the recently-developed framework of unified algebras, and provides a practical notation for their modular specification. It also compares unified algebras with the well-known frame…
We introduce a programming paradigm in which statements are constraints over partial orders. A partial order programming problem has the form minimize u subject to u1 ⊒ v1, u2 ⊒ v2, ··· where u is the goal, and u1 ⊒ v1, u2 ⊒ v2, ··· is a collection of constraints called the progr…
We define in this paper a notion of realizability for the Calculus of Constructions. The extracted programs are terms of the Calculus that do not contain dependent types. We introduce a distinction between informative and non-informative propositions. This distinction allows the …
We consider the synthesis of a reactive module with input x and output y, which is specified by the linear temporal formula @@@@(x, y). We show that there exists a program satisfying @@@@ iff the branching time formula (∀x) (∃y) A@@@@(x, y) is valid over all tree models. For the …
Article Free Access Share on Incremental computation via function caching Authors: W. Pugh Dept. of Computer Science, Cornell University, Ithaca, NY and Dept. of Comp. Sci., Univ. of Maryland, College Park, Md. Dept. of Computer Science, Cornell University, Ithaca, NY and Dept. o…
Strongly typed languages with records may have inclusion rules so that records with more fields can be used instead of records with less fields. But these rules lead to a global treatment of record types as a special case. We solve this problem by giving an ordinary status to rec…
Circular attribute grammars appear in many data flow analysis problems. As one way of making the notion useful, an automatic translation of circular attribute grammars to equivalent non-circular attribute grammars is presented. It is shown that for circular attribute grammars tha…
Program dependence graphs are an important program representation technique for use in vectorization, parallelization and programming environments. We present a graph rewriting semantics for program dependence graphs and prove the equivalence between the program dependence graphs…
In this paper we present A Calculus of Higher Order Communicating Systems. This calculus considers sending and receiving processes to be as fundamental as nondeterminism and parallel composition.
This paper presents type classes, a new approach to ad-hoc polymorphism. Type classes permit overloading of arithmetic operators such as multiplication, and generalise the “eqtype variables” of Standard ML. Type classes extend the Hindley/Milner polymorphic type system, and provi…
Most of the theoretical work on the semantics of logic programs assumes an interpreter that provides a complete resolution procedure. In contrast, for reasons of efficiency, most logic programming languages are built around incomplete procedures. This difference is rooted in Prol…
Article Free Access Share on Detecting equality of variables in programs Authors: B. Alpern IBM Thomas J. Watson Research Center, Yorktown Heights, NY IBM Thomas J. Watson Research Center, Yorktown Heights, NYView Profile , M. N. Wegman IBM Thomas J. Watson Research Center, Yorkt…
Bisimulation is the primitive notion of equivalence between concurrent processes in Milner's Calculus of Communicating Systems (CCS); there is a nontrivial game-like protocol for distinguishing nonbisimular processes. In contrast, process distinguishability in Hoare's theory of C…
A general definition of the notion of superimposition is presented. We show that previous constructions under the same name can be seen as special cases of our definition. We consider several properties of superimposition definable in our terms, notably the nonfreezing property. …
types We have used the term abstract type for types of the form P = Some(A:Type) B, because this models the concept of having an unknown type A which supports a set of operations of signature B. It should be pointed out that, unlike abstract types in second-order lambda calculus …
We present an algorithm for updating data flow information derived from a program, in response to program edits. Our algorithm, applicable to intraprocedural or interprocedural data flow problems, is more general than previous methods because it can update any monotone data flow …
We investigate a framework for efficient flow analyses of logic programs. A major problem in this context is that unification can give rise to aliasing and dependencies between variables whose effects are difficult to predict, and which make sound flow analysis algorithms computa…
An analysis of the λugr;-C-calculus and its problematic relationship to operational equivalence leads to a new control facility: the prompt-application. With the introduction of prompt-applications, the control calculus becomes a traditional calculus all of whose equations imply …