Theoretically Efficient Parallel Graph Algorithms Can Be Fast and Scalable

There has been significant recent interest in parallel graph processing due to the need to quickly analyze the large graphs available today. Many graph codes have been designed for distributed memory or external memory. However, today even the largest publicly-available real-world graph (the Hyperlink Web graph with over 3.5 billion vertices and 128 billion edges) can fit in the memory of a single commodity multicore server. Nevertheless, most experimental work in the literature report results on much smaller graphs, and the ones for the Hyperlink graph use distributed or external memory. Therefore, it is natural to ask whether we can efficiently solve a broad class of graph problems on this graph in memory. This paper shows that theoretically-efficient parallel graph algorithms can scale to the largest publicly-available graphs using a single machine with a terabyte of RAM, processing them in minutes. We give implementations of theoretically-efficient parallel algorithms for 20 important graph problems. We also present the optimizations and techniques that we used in our implementations, which were crucial in enabling us to process these large graphs quickly. We show that the running times of our implementations outperform existing state-of-the-art implementations on the largest real-world graphs. For many of the problems that we consider, this is the first time they have been solved on graphs at this scale. We have made the implementations developed in this work publicly-available as the Graph-Based Benchmark Suite (GBBS).Comment: This is the full version of the paper appearing in the ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), 201

Formal Derivation of Concurrent Garbage Collectors

Concurrent garbage collectors are notoriously difficult to implement correctly. Previous approaches to the issue of producing correct collectors have mainly been based on posit-and-prove verification or on the application of domain-specific templates and transformations. We show how to derive the upper reaches of a family of concurrent garbage collectors by refinement from a formal specification, emphasizing the application of domain-independent design theories and transformations. A key contribution is an extension to the classical lattice-theoretic fixpoint theorems to account for the dynamics of concurrent mutation and collection.Comment: 38 pages, 21 figures. The short version of this paper appeared in the Proceedings of MPC 201

Making non-volatile memory programmable

Byte-addressable, non-volatile memory (NVM) is emerging as a revolutionary memory technology that provides persistence, near-DRAM performance, and scalable capacity. By using NVM, applications can directly create and manipulate durable data in place without the need for serialization out to SSDs. Ideally, through NVM, persistent applications will be able to maintain crash-consistency at a minimal cost. However, before this is possible, improvements must be made at both the hardware and software level to support persistent applications. Currently, software support for NVM places too high of a burden on the developer, introducing many opportunities for mistakes while also being too rigid for compiler optimizations. Likewise, at the hardware level, too little information is passed to the processor about the instruction-level ordering requirements of persistent applications; this forces the hardware to require the use of coarse fences, which significantly slow down execution. To help realize the promise of NVM, this thesis proposes both new software and hardware support that make NVM programmable. From the software side, this thesis proposes a new NVM programming model which relieves the programmer from performing much of the accounting work in persistent applications, instead relying on the runtime to perform error-prone tasks. Specifically, within the proposed model, the user only needs to provide minimal markings to identify the persistent data set and to ensure data is updated in a crash-consistent manner. Given this new NVM programming model, this thesis next presents an implementation of the model in Java. I call my implementation AutoPersist and build my support into the Maxine research Java Virtual Machine (JVM). In this thesis I describe how the JVM can be changed to support the proposed NVM programming model, including adding new Java libraries, adding new JVM runtime features, and augmenting the behavior of existing Java bytecodes. In addition to being easy-to-use, another advantage of the proposed model is that it is amenable to compiler optimizations. In this thesis I highlight two profile-guided optimizations: eagerly allocating objects directly into NVM and speculatively pruning control flow to only include expected-to-be taken paths. I also describe how to apply these optimizations to AutoPersist and show they have a substantial performance impact. While designing AutoPersist, I often observed that dependency information known by the compiler cannot be passed down to the underlying hardware; instead, the compiler must insert coarse-grain fences to enforce needed dependencies. This is because current instruction set architectures (ISA) cannot describe arbitrary instruction-level execution ordering constraints. To fix this limitation, I introduce the Execution Dependency Extension (EDE), and describe how EDE can be added to an existing ISA as well as be implemented in current processor pipelines. Overall, emerging NVM technologies can deliver programmer-friendly high performance. However, for this to happen, both software and hardware improvements are necessary. This thesis takes steps to address current the software and hardware gaps: I propose new software support to assist in the development of persistent applications and also introduce new instructions which allow for arbitrary instruction-level dependencies to be conveyed and enforced by the underlying hardware. With these improvements, hopefully the dream of programmable high-performance NVM is one step closer to being realized

An Integrated Semantic Web Service Discovery and Composition Framework

In this paper we present a theoretical analysis of graph-based service composition in terms of its dependency with service discovery. Driven by this analysis we define a composition framework by means of integration with fine-grained I/O service discovery that enables the generation of a graph-based composition which contains the set of services that are semantically relevant for an input-output request. The proposed framework also includes an optimal composition search algorithm to extract the best composition from the graph minimising the length and the number of services, and different graph optimisations to improve the scalability of the system. A practical implementation used for the empirical analysis is also provided. This analysis proves the scalability and flexibility of our proposal and provides insights on how integrated composition systems can be designed in order to achieve good performance in real scenarios for the Web.Comment: Accepted to appear in IEEE Transactions on Services Computing 201

Definition of a Method for the Formulation of Problems to be Solved with High Performance Computing

Computational power made available by current technology has been continuously increasing, however today’s problems are larger and more complex and demand even more computational power. Interest in computational problems has also been increasing and is an important research area in computer science. These complex problems are solved with computational models that use an underlying mathematical model and are solved using computer resources, simulation, and are run with High Performance Computing. For such computations, parallel computing has been employed to achieve high performance. This thesis identifies families of problems that can best be solved using modelling and implementation techniques of parallel computing such as message passing and shared memory. Few case studies are considered to show when the shared memory model is suitable and when the message passing model would be suitable. The models of parallel computing are implemented and evaluated using some algorithms and simulations. This thesis mainly focuses on showing the more suitable model of computing for the various scenarios in attaining High Performance Computing

On the Practice and Application of Context-Free Language Reachability

The Context-Free Language Reachability (CFL-R) formalism relates to some of the most important computational problems facing researchers and industry practitioners. CFL-R is a generalisation of graph reachability and language recognition, such that pairs in a labelled graph are reachable if and only if there is a path between them whose labels, joined together in the order they were encountered, spell a word in a given context-free language. The formalism finds particular use as a vehicle for phrasing and reasoning about program analysis, since complex relationships within the data, logic or structure of computer programs are easily expressed and discovered in CFL-R. Unfortunately, The potential of CFL-R can not be met by state of the art solvers. Current algorithms have scalability and expressibility issues that prevent them from being used on large graph instances or complex grammars. This work outlines our efforts in understanding the practical concerns surrounding CFL-R, and applying this knowledge to improve the performance of CFL-R applications. We examine the major difficulties with solving CFL-R-based analyses at-scale, via a case-study of points-to analysis as a CFL-R problem. Points-to analysis is fundamentally important to many modern research and industry efforts, and is relevant to optimisation, bug-checking and security technologies. Our understanding of the scalability challenge motivates work in developing practical CFL-R techniques. We present improved evaluation algorithms and declarative optimisation techniques for CFL-R, capitalising on the simplicity of CFL-R to creating fully automatic methodologies. The culmination of our work is a general-purpose and high-performance tool called Cauliflower, a solver-generator for CFL-R problems. We describe Cauliflower and evaluate its performance experimentally, showing significant improvement over alternative general techniques

Survey over Existing Query and Transformation Languages

A widely acknowledged obstacle for realizing the vision of the Semantic Web is the inability of many current Semantic Web approaches to cope with data available in such diverging representation formalisms as XML, RDF, or Topic Maps. A common query language is the first step to allow transparent access to data in any of these formats. To further the understanding of the requirements and approaches proposed for query languages in the conventional as well as the Semantic Web, this report surveys a large number of query languages for accessing XML, RDF, or Topic Maps. This is the first systematic survey to consider query languages from all these areas. From the detailed survey of these query languages, a common classification scheme is derived that is useful for understanding and differentiating languages within and among all three areas

Search-Based Regular Expression Inference on a GPU

Regular expression inference (REI) is a supervised machine learning and program synthesis problem that takes a cost metric for regular expressions, and positive and negative examples of strings as input. It outputs a regular expression that is precise (i.e., accepts all positive and rejects all negative examples), and minimal w.r.t. to the cost metric. We present a novel algorithm for REI over arbitrary alphabets that is enumerative and trades off time for space. Our main algorithmic idea is to implement the search space of regular expressions succinctly as a contiguous matrix of bitvectors. Collectively, the bitvectors represent, as characteristic sequences, all sub-languages of the infix-closure of the union of positive and negative examples. Mathematically, this is a semiring of (a variant of) formal power series. Infix-closure enables bottom-up compositional construction of larger from smaller regular expressions using the operations of our semiring. This minimises data movement and data-dependent branching, hence maximises data-parallelism. In addition, the infix-closure remains unchanged during the search, hence search can be staged: first pre-compute various expensive operations, and then run the compute intensive search process. We provide two C++ implementations, one for general purpose CPUs and one for Nvidia GPUs (using CUDA). We benchmark both on Google Colab Pro: the GPU implementation is on average over 1000x faster than the CPU implementation on the hardest benchmarks