Programming in concurrent logic languages

The authors survey concurrent logic languages, which expand Prolog by dropping its built-in sequential search order. These languages make parallelism easy by avoiding the low-level constructs that result from a too direct translation of machine hardware into programmer's language     

Heuristic search in PARLOG using replicated worker style parallelism

Most concurrent logic programming languages hide the distribution of processes among physical processors from the programmer. For parallel applications based on heuristic search, however, it is important for the programmer to accurately control this distribution. With such applications, an inferior distribution strategy easily leads to enormous search overheads, thus decreasing speedup on parallel hardware.

To solve this problem, various language extensions for concurrent logic languages have been proposed, such as mapping notations and priorities. We present an alternative approach that does not require any new language features. Our solution is to use the replicated workers paradigm in a concurrent logic language (PARLOG). This paradigm has thus far mainly been used in parallel procedural languages, such as Linda and Orca. We show that it is just as useful for logic languages. We have implemented two parallel applications, the Traveling Salesman Problem and alpha-beta search, using this approach. Also, we have done some performance measurements of these programs on a multiprocessor. These experiments show that significant speedups can be obtained in this way.     

A confluent semantic basis for the analysis of concurrent constraint logic programs

The standard operational semantics of concurrent constraint logic languages is not confluent in the sense that different schedulings of processes may result in different program behaviors. While implementations are free to choose specific scheduling policies, analyses should be correct for all implementations. Moreover, in the presence of parallelism, it is usually not possible to determine how processes will actually be scheduled. Efficient program analysis is therefore difficult as all process schedulings must be considered. To overcome this problem, we introduce a confluent semantics which closely approximates the standard (nonconfluent) semantics. This semantics provides a basis for efficient and accurate program analysis for these languages. To illustrate the usefulness of this approach, we sketch analyses based on abstract interpretations of the confluent semantics which determine if a program is suspension- and local suspension-free.     

Temporal Semantics for Concurrent M M

Concurrent is a programming language based on the notion of concurrent, communicating objects, where each object directly executes a specification given in temporal logic, and communicates with other objects using asynchronous broadcast message-passing. Thus, Concurrent represents a combination of the direct execution of temporal specifications, together with a novel model of concurrent computation. In contrast to the notions of predicates as processes and stream parallelism seen in concurrent logic languages, Concurrent represents a more coarse-grained approach, where an object consists of a set of logical rules and communication is achieved by the evaluation of certain types of predicate. Representing concurrent systems as groups of such objects provides a powerful tool for modelling complex reactive systems. In order to reason about the behaviour of Concurrent systems, we requir a suitable semantics. Being based upon executable temporal logic, objects in isolation have an intuitive semantics. However, the addition of both operational constraints upon the object's execution and global constraints provided by the asynchronous model of concurrency and communication, complicates the overall semantics of networks of objects. It is this, more complex, semantics that we address here, where temporal semantics for varieties of Concurrent are provided.     

: A distributed real-time logic language

This paper presents a new language that integrates the real-time and distributed paradigms within the framework of a concurrent logic language. Concurrent logic languages (CLLs) are capable of expressing concurrence, communication and nondeterminism in a natural way. That is, the intrinsic parallel semantics of the concurrent logic languages makes them well-suited for distributed programming. The proposed language is particularly suitable for loosely coupled systems and it contains mechanisms for distributed and real-time process control. A new execution model for concurrent logic languages is presented, which enables efficient distributed execution and real-time control. The model is introduced by giving an operational semantics for the language and the new model's implementation is discussed, including the definition of a new abstract machine and its implementation on a network of Unix workstations. Although the sequential core is not optimized, some previous results are discussed, showing the feasibility of the language's execution model for distributed real-time systems. The language is currently being used as the kernel language for a distributed simulation and validation tool for communication protocols.     

: A distributed real-time logic language

This paper presents a new language that integrates the real-time and distributed paradigms within the framework of a concurrent logic language. Concurrent logic languages (CLLs) are capable of expressing concurrence, communication and nondeterminism in a natural way. That is, the intrinsic parallel semantics of the concurrent logic languages makes them well-suited for distributed programming. The proposed language is particularly suitable for loosely coupled systems and it contains mechanisms for distributed and real-time process control. A new execution model for concurrent logic languages is presented, which enables efficient distributed execution and real-time control. The model is introduced by giving an operational semantics for the language and the new model's implementation is discussed, including the definition of a new abstract machine and its implementation on a network of Unix workstations. Although the sequential core is not optimized, some previous results are discussed, showing the feasibility of the language's execution model for distributed real-time systems. The language is currently being used as the kernel language for a distributed simulation and validation tool for communication protocols.     

Applications of coarse-grained dataflow in computational mechanics

Dataflow models are free of side effects and have no notion of state or sequencing. Because these representations place a partial, as opposed to a total, ordering on the execution of their component operations, the concurrent aspects of computation are clearly revealed. The correspondence between dataflow graphs and purely functional programs allows computations to be expressed in a high-level functional language and subsequently transformed into a dataflow graph. This paper describes the use of dataflow models as an alternative control strategy for engineering analysis programs and contrasts them with traditional imperative approaches. The characteristics of functional languages are also described, as is their inherent parallelism, which may be realized by compilation into dataflow graphs. The application of functional languages to finite element programming is presented, which allows the alternating assembly and solution of system equations found in frontal solvers. Issues such as the incremental update of arrays and the simulation of state are also addressed.     

Instant replay debugging of concurrent logic programs

One problem with debugging (committed choice) concurrent logic programs is that their behaviour may be non-deterministic, in that successive executions of the same program may produce different results. We describe a scheme, based on the ‘Instant Replay’ scheme developed for more conventional parallel languages, that allows us to reproduce the execution behaviour of a concurrent logic program on subsequent executions, so that the execution may be examined for debugging purposes. The properties of concurrent logic programming languages allow us to simplify our scheme greatly. We have demonstrated our scheme with KLIC, and KL1 on the PIM multiprocessors, but it can also be applied to other committed choice concurrent logic programming languages.     

The languages FCP(:) and FCP(:,?)

The language FCP(:,?) is the outcome of attempts to integrate the best of several flat concurrent logic programming languages, including Flat GHC, FCP (↓, |) and Flat Concurrent Prolog, in a single consistent framework. FCP(:) is a subset of FCP(:, ?), which is a variant of FPP(↓, |) and employs concepts of the concurrent constraint framework of cc(↓, |). FCP(:, ?) is a language which is strong enough to accommodate all useful concurrent logic programming techniques, including those which rely on atomic test unification and read-only variables, yet incorporates the weaker languages mentioned as subsets. This allows the programmer to remain within a simple subset of the language such as Flat GHC when the full power of atomic unification or read-only variables is not needed.     

Towards a complete framework for parallel implementation of logic languages: the data parallel implementation of SEL

Although logic languages, due to their non-declarative nature, are widely proclaimed to be conducive in theory to parallel implementation, in fact there appears to be insufficient practical evidence to stimulate further developments in this field. The paper puts forward various complications which arise in assuming a solely process parallel approach as a possible explanation for this situation. As an alternative, data parallelism is posited as an underutilized forte of logic programming. The paper illustrates a data parallel implementation of a particular language called SEL which is based on sets. Thus, SEL (set equational language) is introduced as an example of logic language which lends itself to an efficient data parallel implementation. The strategy of this implementation assumes an abstract machine called SAM (set-oriented abstract machine) which is based on the WAM (Warren abstract machine). SAM serves as an intermediary between the SEL language and the target machine for the implementation, the Connection Machine. Finally, some preliminary benchmarks are presented.     

A data-driven machine for OR-parallel evaluation of logic programs

Research in the area of parallel evaluation mechanisms for logic programs have led to the proposal of a number of schemes exploiting various forms of parallelism. Many of the early models have been based on the conventional approach of organising concurrent components of computations as communicating processes. More recently, however, models based on more novel computation organisations, in particular, data-driven organisations, have been proposed. This paper describes the development of one such model, its implementation and the design of a data-driven machine to support it. The model exploits a form of parallelism known as OR-parallelism and is particularly suited to database applications, although it would also support general applications. It is envisaged that the proposed machine may be refined into an efficient database engine, which can then be a component of a more powerful and integrated logic programming machine.     

A lingua franca for concurrent logic programming

Two of the more important concurrent logic programming languages with nonflat guards are GHC and Parlog. They balance the requirements of having clean semantics and providing good control facilities rather differently, and their respective merits are compared and contrasted. Since concurrent logic programming would benefit from both, but neither language is able to express all the programs expressible in the other language, a lingua franca of these languages is defined and justified. A method is given for translating GHC and Parlog to and from it. The method preserves the arities and execution conditions of each clause. It enables a lingua franca implementation to support both languages transparently, and to provide a simple concurrent logic programming language suitable for programming in its own right     

Predicates and pixels

This paper explores the possibilities of programming with graphical representations of logic programs. Two example programs are given in the concurrent logic language FGDC but many languages based on rewrite rules would be suitable for the same treatment. A graphical syntax promises to make programming in suitable ultra high level languages easier and more intuitive.     

Parthenon: A parallel theorem prover for non-horn clauses

We describe a parallel resolution theorem prover, called Parthenon, that handles full first order logic. Although there has been much work on parallel implementations of logic programming languages, Parthenon is the first general purpose theorem prover to be developed for a multiprocessor. The system is based on a modification of Warren's SRI model for or-parallelism and implements a variant of Loveland's model elimination procedure. It has been evaluated on various shared memory multiprocessors including a 16-processor Encore Multimax and IBM's 64-processor RP3. We have found that many theorem proving problems exhibit a great deal of potential parallelism. Parthenon has been able to exploit much of this parallelism, producing both good absolute run times and near-linear speedup curves in many cases.This research was partially supported by NSF grant CCR-87-226-33. An earlier version of this paper appeared in the Fourth IEEE Symposium on Logic in Computer Science, Asilomar, CA, June 1989. D.E.L. was partially supported by an NSF graduate fellowship. S.M. was partially supported by an IBM graduate fellowship.     

Adaptive parallel logic networks

This paper presents a novel class of special purpose processors referred to as ASOCS (adaptive self-organizing concurrent systems). Intended applications include adaptive logic devices, robotics, process control, system malfunction management, and in general, applications of logic reasoning. ASOCS combines massive parallelism with self-organization to attain a distributed mechanism for adaptation. The ASOCS approach is based on an adaptive network composed of many simple computing elements (nodes) which operate in a combinational and asynchronous fashion. Problem specification (programming) is obtained by presenting to the system if-then rules expressed as Boolean conjunctions. New rules are added incrementally. In the current model, when conflicts occur, precedence is given to the most recent inputs. With each rule, desired network response is simply presented to the system, following which the network adjusts itself to maintain consistency and parsimony of representation. Data processing and adaptation form two separate phases of operation. During processing, the network acts as a parallel hardware circuit. Control of the adaptive process is distributed among the network nodes and efficiently exploits parallelism.     

Distributed logic objects

This paper presents a language based on the logic programming paradigm that supports objects, messages and inheritance. The object-oriented extension is fairly simple: objects are clusters of processes, objects' state is represented by logical variables, message-passing communication between objects is performed via multi-head clauses, and inheritance is mapped into clause union. The language implementation is obtained by translating logic objects into a concurrent logic language based on multi-head clauses, taking advantage of its distributed implementation on a massively parallel architecture. The runtime support realizes some interesting features such as intensional messages and the transparency of object allocation, object migration and parallelism.     

On goal-directed provability in classical logic

One of the key features of logic programming is the notion of goal-directed provability. In intuitionistic logic, the notion of uniform proof has been used as a proof-theoretic characterization of this property. Whilst the connections between intuitionistic logic and computation are well known, there is no reason per se why a similar notion cannot be given in classical logic. In this paper we show that there are two notions of goal-directed proof in classical logic, both of which are suitably weaker than that for intuitionistic logic. We show the completeness of this class of proofs for certain fragments, which thus form logic programming languages. As there are more possible variations on the notion of goal-directed provability in classical logic, there is a greater diversity of classical logic programming languages than intuitionistic ones. In particular, we show how logic programs may contain disjunctions in this setting. This provides a proof-theoretic basis for disjunctive logic programs, as well as characterising the “disjunctive” nature of answer substitutions for such programs in terms of the provability properties of the classical connectives Λ and Λ.