OR-parallel evaluation of logic programs on a multi-ring dataflow machine

Logic programming languages have gained wide acceptance because of two reasons. First is their clear declarative semantics and the second is the wide scope for parallelism they provide which can be exploited by building suitable parallel architectures. In this paper, we propose a multi-ring dataflow machine to support theOR-parallelism and theArgument parallelism of logic programs. A new scheme is suggested for handling the deferred read mechanism of the dataflow architecture. The required data structures, the dataflow actors and the builtin dataflow procedures for OR-parallel execution are discussed. Multiple binding environments arising in the OR-parallel execution are handled by a new scheme called thetagged variable scheme. Schemes for constrained OR-parallel execution are also discussed.     

Performance of an OR-parallel logic programming system

The research focus in parallel logic programming is shifting rapidly from theoretical considerations and simulation on uniprocessors to implementation on true multiprocessors. This report presents performance figures from such a system,Boplog, for OR-parallel Horn clause logic programs on the BBN Butterfly Parallel Processor. Boplog is designed expressly for a large scale shared memory multiprocessor with an Omega interconnect. The target machine and underlying execution model are described briefly. The primary focus of the paper is on detailed statistics taken from the execution of benchmark programs to assess the performance of the model and clarify the impact of design and architecture decisions. They show that while speedup of this implementation on highly OR-parallel problems is very good, overall performance is poor. Despite its speed drawback, many aspcts of the implementation and its performance can prove useful in designing future systems for similar machines. A binding model that prohibits constant time access to bindings, and the inability of the machine to support an ambitious use of machine memory appear to be most damaging factors.This work was carried out at the University of Utah, Salt Lake City, Utah. It was supported by a University of Utah Graduate Research Fellowship, the National Science Foundation under Grant DCR-856000, and by an unrestricted gift from L. M. Ericsson Telefon AB, Stockholm, Sweden, Production of the document was supported by the Rockwell International Science Center.     

A distributed fair polling scheme applied to OR-parallel logic programming

A task scheduling algorithm for parallel execution of logic programs on NUMA multiprocessors is proposed. The algorithm endorces a so-calledfair polling policy. We show analytically that the proposed algorithm has a good isoefficiency function. Results from simulation on switch based NUMA architecture multiprocessors, the BBN Butterfly GP1000 and TC2000, corroborate the analysis. The proposed algorithm exhibits performance characteristics very similar to that of its counterpart that uses a shared memory. It achieves reasonable speed-up on benchmarks, using a nonconstant time task migration protocol. In addition, fair polling algorithms (with or without a shared memory) are shown to beconsistently superior than several other known polling schemes that do not maintain fairness, for a variety of benchmark programs.Supported by Airforce Office of Scientific Research Grant AFOSR-88-0152, AFOSR-91-0350.     

A residualizing semantics for the partial evaluation of functional logic programs

Recent proposals for multi-paradigm declarative programming combine the most important features of functional, logic and concurrent programming into a single framework. The operational semantics of these languages is usually based on a combination of narrowing and residuation. In this paper, we introduce a non-standard, residualizing semantics for multi-paradigm declarative programs and prove its equivalence with a standard operational semantics. Our residualizing semantics is particularly relevant within the area of program transformation where it is useful, e.g., to perform computations during partial evaluation. Thus, the proof of equivalence is a crucial result to demonstrate the correctness of (existing) partial evaluation schemes.     

OR-parallel execution of Prolog on a multi-sequential machine

Based on extending the sequential execution model of Prolog to include parallel execution, we present a method for OR-parallel execution of Prolog on a multiprocessor system. The method reduces the overhead incurred by parallel processing. It allows many processing elements (PEs) to process simultaneously a common branch of a search tree, and each of these PEs creates its local environment and selects a subtree for processing without communication. The run-time overhead is small: simple and efficient operations for selecting the proper subtree. Communication is necessary only when some PEs have exhausted their search spaces and there are others still searching for solutions. The method is able to utilize most of the technology devised for sequential implementation of Prolog. It is optimized for an architecture that supports broadcast copying.     

A type system for logic programs

A theory for a type system for logic programs is developed which addressesthe question of well-typing, type inference, and compile-time and run-time type checking. A type is a recursively enumerable set of ground atoms, which is tuple-distributive. The association of a type to a program is intended to mean that only ground atoms that are elements of the type may be derived from the program. A declarative definition of well-typed programs is formulated, based on an intuitive approach related to the fixpoint semantics of logic programs. Whether a program is well typed is undecidable in general. We define a restricted class of types, called regular types, for which type checking is decidable. Regular unary logic programs are proposed as a specification language for regular types. An algorithm for type-checking a logic program with respect to a regular type definition is described, and its complexity is analyzed. Finally, the practicality of the type system is discussed, and some examples are shown. The type system has been implemented in FCP for FCP and is incorporated in the Logix system.     

Assembly quality evaluation for linear axis of machine tool using data-driven modeling approach

Journal of Intelligent Manufacturing - During the batch assembly analysis of linear axis of machine tool, assembly quality evaluation is crucial to reduce assembly quality fluctuations and improve...     

A characterization of answer sets for logic programs

Checking if a program has an answer set, and if so, compute its answer sets are just some of the important problems in answer set logic programming. Solving these problems using Gelfond and Lifschitz's original definition of answer sets is not an easy task. Alternative characterizations of answer sets for nested logic pro- grams by Erdem and Lifschitz, Lee and Lifschitz, and You et al. are based on the completion semantics and various notions of tightness. However, the notion of tightness is a local notion in the sense that for different answer sets there are, in general, different level mappings capturing their tightness. This makes it hard to be used in the design of algorithms for computing answer sets. This paper proposes a characterization of answer sets based on sets of generating rules. From this char- acterization new algorithms are derived for computing answer sets and for per- forming some other reasoning tasks. As an application of the characterization a sufficient and necessary condition for the equivalence between answer set seman- tics and completion semantics has been proven, and a basic theorem is shown on computing answer sets for nested logic programs based on an extended notion of loop formulas. These results on tightness and loop formulas are more general than that in You and Lin's work.     

Rule ordering in bottom-up fixpoint evaluation of logic programs

Logic programs can be evaluated bottom-up by repeatedly applying all rules, in “iterations”, until the fixpoint is reached. However, it is often desirable-and, in some cases, e.g. programs with stratified negation, it is even necessary to guarantee the semantics-to apply the rules in some order. We present two algorithms that apply rules in a specified order without repeating inferences. One of them (GSN) is capable of dealing with a wide range of rule orderings, but with a little more overhead than the well-known seminaive algorithm (which we call BSN). The other (PSN) handles a smaller class of rule orderings, but with no overheads beyond those in BSN. We also demonstrate that by choosing a good ordering, we can reduce the number of rule applications (and thus the number of joins). We present a theoretical analysis of rule orderings and identify orderings that minimize the number of rule applications (for all possible instances of the base relations) with respect to a class of orderings called fair orderings. We also show that though nonfair orderings may do a little better on some data sets, they can do much worse on others. The analysis is supplemented by performance results     

A UNITY-style programming logic for shared dataspace programs

A proof system for a shared dataspace programming notation called Swarm (a programming logic similar in style to that of UNITY) is specified. Relevant aspects of the Swarm language and model are overviewed. To illustrate the proof system, the Swarm logic is used to verify the correctness of a program for labeling connected equal-intensity regions of a digital image. Like UNITY, the Swarm proof system uses an assertional programming logic which relies upon proof of programwide properties, e.g. global invariants and progress properties. The Swarm logic is defined in terms of the same logical relations as UNITY (unless, ensures, and leads-to), but several of the concepts are reformulated to accommodate Swarm's distinctive features     

A program specialiser for meta-level compositions of logic programs

Metal-level compositions of object logic programs are naturally implemented by means of meta-programming techniques. Metainterpreters defining program compositions however suffer from a computational overhead that is due partly to the interpretation layer present in all meta-programs, and partly to the specific interpretation layer needed to deal with program compositions. We show that meta-interpreters implementing compositions of object programs can be fruitfully specialised w.r.t. meta-level queries of the form Demo (E, G), where E denotes a program expression and G denotes a (partially instantiated) object level query. More precisely, we describe the design and implementation of declarative program specialiser that suitably transforms such meta-interpreters so as to sensibly reduce — if not to completely remove — the overhead due to the handling of program compositions. In many cases the specialiser succeeds in eliminating also the overhead due to meta-interpretation. Antonio Brogi, Ph.D.: He is currently assistant professor in the Department of Computer Science at the University of Pisa, Italy. He received his Laurea Degree in Computer Science (1987) and his Ph. D. in Computer Science (1993) from the University of Pisa. His research interests include programming language design and semantics, logic programming, deductive databases, and software coordination. Simone Contiero: He is currently a Ph. D. student at the Department of Computer Science, University of Pisa (Italy). He received his Laurea Degree in Computer Science from the University of Pisa in 1994. His research interests are in high-level programming languages, metaprogramming and logic-based coordination of software.     

A practical framework for theabstract interpretation of logic programs

There are numerous papers concerned with the compile-time derivation of certain run-time properties of logic programs, e.g. mode inferencing, type checking, type synthesis, and properties relevant for and-parallel execution. Most approaches have little in common, they are developed in an ad hoc way, and their correctness is not always obvious. We develop a general framework which is suited to develop complex applications and to prove their correctness. All states which are possible at run time can be represented by an infinite set of proof trees (and trees, SLD derivations). The core idea of our approach is to represent this infinite set of and trees by a finite abstract and-or graph. We present a generic abstract interpretation procedure for the construction of such an abstract and-or graph and formulate conditions which allow us to construct a correct one in finite time.     

Hybrid data-driven models of machine translation

This paper presents an extended, harmonised account of our previous work on combining subsentential alignments from phrase-based statistical machine translation (SMT) and example-based MT (EBMT) systems to create novel hybrid data-driven systems capable of outperforming the baseline SMT and EBMT systems from which they were derived. In previous work, we demonstrated that while an EBMT system is capable of outperforming a phrase-based SMT (PBSMT) system constructed from freely available resources, a hybrid ‘example-based’ SMT system incorporating marker chunks and SMT subsentential alignments is capable of outperforming both baseline translation models for French–English translation. In this paper, we show that similar gains are to be had from constructing a hybrid ‘statistical’ EBMT system. Unlike the previous research, here we use the Europarl training and test sets, which are fast becoming the standard data in the field. On these data sets, while all hybrid ‘statistical’ EBMT variants still fall short of the quality achieved by the baseline PBSMT system, we show that adding the marker chunks to create a hybrid ‘example-based’ SMT system outperforms the two baseline systems from which it is derived. Furthermore, we provide further evidence in favour of hybrid systems by adding an SMT target-language model to the EBMT system, and demonstrate that this too has a positive effect on translation quality. We also show that many of the subsentential alignments derived from the Europarl corpus are created by either the PBSMT or the EBMT system, but not by both. In sum, therefore, despite the obvious convergence of the two paradigms, the crucial differences between SMT and EBMT contribute positively to the overall translation quality. The central thesis of this paper is that any researcher who continues to develop an MT system using either of these approaches will benefit further from integrating the advantages of the other model; dogged adherence to one approach will lead to inferior systems being developed.     

A parallel execution model of logic programs

A parallel-execution model that can concurrently exploit AND and OR parallelism in logic programs is presented. This model employs a combination of techniques in an approach to executing logic problems in parallel, making tradeoffs among number of processes, degree of parallelism, and combination bandwidth. For interpreting a nondeterministic logic program, this model (1) performs frame inheritance for newly created goals, (2) creates data-dependency graphs (DDGs) that represent relationships among the goals, and (3) constructs appropriate process structures based on the DDGs. (1) The use of frame inheritance serves to increase modularity. In contrast to most previous parallel models that have a large single process structure, frame inheritance facilitates the dynamic construction of multiple independent process structures, and thus permits further manipulation of each process structure. (2) The dynamic determination of data dependency serves to reduce computational complexity. In comparison to models that exploit brute-force parallelism and models that have fixed execution sequences, this model can reduce the number of unification and/or merging steps substantially. In comparison to models that exploit only AND parallelism, this model can selectively exploit demand-driven computation, according to the binding of the query and optional annotations. (3) The construction of appropriate process structures serves to reduce communication complexity. Unlike other methods that map DDGs directly onto process structures, this model can significantly reduce the number of data sent to a process and/or the number of communication channels connected to a process     

Canonical logic programs

Consider the class of programs P where the greatest fixpoint of T_P is equal to the complement of the finite failure set of P. Programs in this calss possess some important properties which others do not. The main result in this paper proves that this class is representative of all programs. Specifically, we call the programs in this class canonical and we prove that for any program P₁, there exists a semantically equivalent program P₂ which is canonical.     

A predicate-transition net model for parallel interpretation of logic programs

A predicate/transition net model for a subset of Horn clause logic programs is presented. The syntax, transformation procedure, semantics, and deduction process for the net model are discussed. A possible parallel implementation for the net model is described, which is based on the concepts of communicating processes and relations. The proposed net model offers a syntactical variant of Horn clause logic and has two distinctions from other existing schemes for the logic programs: representation formalism and the deduction method. The net model provides an approach towards the solutions of the separation of logic from control and the improvement of the execution efficiency through parallel processing for the logic programs. The abstract nature of the net model also lends itself to different implementation strategies.<>