Abstract:
Dependent types are a wonderful way to construct correct functional programming and specify interfaces as Edwin has shown in his nice book on type driven development using a welsh dragon. But shall we go further in the esoteric world of homotopy type theory? I will try to motivate this and I am looking forward to some discussions with people who have a more pragmatic attitude to dependent types.
Abstract:
The increasing complexity of codes with the growing number of cores that should be utilised make such codes hard to optimise and maintain. In this talk, we present the OpenMP and MPI refactoring implemented in the ParaFormance tool. This tool transforms the sequential code into parallel code able to run on shared memory machines. Further refactoring is implemented to adapt the source code to exploit a larger number of processors on large HPC clusters with message passing support. In addition, the resulting MPI code can be used by developers as a starting point for further optimisation. Both refactorings are preceded by an advanced safety checking which reports concurrency problems and gives hints and suggestions on how to fix them.
Title:
A Type-System for describing System-on-a-Chip Architectures
Abstract:
The protocols that describe the interactions between IP Cores on System-on-a-Chip (SoC) architectures are well-documented. These protocols described not only the structural properties of the physical interfaces but also the behaviour of the emanating signals. However, there is a disconnect between the design of SoC architectures, their formal description, and the verification of their implementation in known hardware description languages.
Within the Border Patrol project we are investigating how to capture and reason about the structural and behavioural properties of SoC architectures using state-of-the-art advances in programming language research. Namely, we are investigating using dependent types and session types to capture and reason about hardware communication.
In this talk I will discuss my work in designing a dependent type- system and corresponding language that captures and reasons about the topological structure of a System-on-a-Chip. This language provides correct-by-construction guarantees over:
We provide these guarantees through the (ab)use of dependent types as presented in Idris; and abuse of indexed monads to reason about resource usage.
Given time I will give an account of how this language enables reasoning about SoC behaviour when considered in conjunction with Session Types.ssion Types.
Diderot: A Parallel Domain-Specific Language for Image Analysis and Visualization
Abstract:
The analysis of structure in three-dimensional images is increasingly valuable for biomedical research and computational science. At the same time, the computational burden of processing images is increasing as devices produce images of higher resolution (e.g., typical CT scans have gone from 128^3 to roughly 512^3 resolutions). With the latest scanning technologies, it is also more common for the the values measured at each sample to be multi-dimensional rather than a single scalar, which further complicates implementing mathematically correct methods.
Diderot is a domain-specific language (DSL) for programming advanced 3D image visualization and analysis algorithms. These algorithms, such as volume rendering, fiber tractography, and particle systems, are naturally defined as computations over continuous tensor fields that are reconstructed from the discrete image data. Diderot combines a high-level mathematical programming notation based on tensor calculus with an abstract bulk-synchronous parallelism model. Diderot is designed to both enable rapid prototyping of new image analysis algorithms and high performance on a range of parallel platforms.
In this talk, I will give an overview of the design of Diderot and examples of its use. I will then describe aspects of its implementation with a focus on how we translate the notation of tensor calculus to efficient code. I will also briefly discuss the automated techniques we use to validate the correctness of the compilation process.
Diderot is joint work with Gordon Kindlmann, Charisee Chiw, Lamont Samuels, and Nick Seltzer.
Bio:
John Reppy is a Professor of Computer Science and a Senior Fellow of the Computation Institute at the University of Chicago. He received his Ph.D. from Cornell University in 1992 and spent the first eleven years of his career at Bell Labs in Murray Hill NJ. He has been exploring issues in language design and implementation since the late 1980’s, with a focus on higher-order, typed, functional languages. His work includes the invention of Concurrent ML and work on combining object-oriented and functional language features. His current research is on high-level languages for parallel programming, including the Diderot, Manticore, and Nessie projects.
Abstract:
Formal languages and automata are taught to every computer science student. However, the student will most likely not see the beautiful coalgebraic foundations, which use coindutive reasoning.
In this talk, I recapitulate how infinite tries can represent formal languages (sets of strings). I explain Agda’s coinduction mechanism based on copatterns and sized types demonstrate that it allows an elegant representation of the usual language constructions like union, concatenation, and Kleene star, with the help of Brzozowski derivatives.
ARM has a relaxed memory model, previously specified in informal prose for ARMv7 and ARMv8. Over time, and partly due to work building formal semantics for ARM concurrency, it has become clear that some of the complexity of the model is not justified by the potential benefits. In
particular, the model was originally non-multicopy-atomic: writes could
become visible to some other threads before becoming visible to all —
but this has not been exploited in production implementations, the
corresponding potential hardware optimisations are thought to have
insufficient benefits in the ARM context, and it gives rise to subtle
complications when combined with other ARMv8 features. The ARMv8
architecture has therefore been revised: it now has a multicopy-atomic
model. It has also been simplified in other respects, including more
straightforward notions of dependency, and the architecture now includes
a formal concurrency model.
This is work presented in POPL this year. I will also present some of
the background and context on relaxed memory which is absent from the
necessarily compressed talk format of POPL.
Title: Efficient Dynamic Mapping of Parallel Applications to NUMA Architectures by Reinforcement Learning
Abstract: We present a dynamic framework for mapping threads and data of parallel applications to computational cores/memory nodes of parallel non-uniform memory architecture (NUMA) systems. We use a feedback-based mechanism where the performance of each thread is collected and used to drive the reinforcement-learning policy of assigning affinities of threads/data to CPU cores/memory nodes. The proposed framework can address different optimisation criteria, such as maximum processing speed and minimum speed variance. We demonstrate that we can achieve an improvement of 12% in execution time compared to the default Linux operating system scheduling/mapping of threads under varying availability of resources (e.g. when multiple applications are running on the same system).
Type systems are often presented in a declarative style, but with an emphasis on ensuring that there is some sort of type synthesis algorithm. Since Pierce and Turner’s “Local Type Inference” system, however, there has been a small but growing alternative: bidirectional typing, where types are synthesized for variables and elimination forms, but must always be proposed in advance for introduction forms and checked. You can still get away without any type annotations, as long as you write only normal forms. But where’s the fun in that? If you want to write terms that compute, you need to write type annotations at exactly the point where an introduction form collides with its elimination form, showing exactly the type at which computation is happening.
For type systems with some sorts of value dependency, the bidirectional approach seriously cuts down on the amount of annotation required in terms, needed only to achieve type synthesis. We have a real opportunity to reduce clutter and also to give a clearer account of the connections between types and computation.
But it doesn’t stop there. A disciplined approach to the construction of bidirectional type systems makes it easier to get their metatheory right. I’ll show this by reconstructing Martin-Löf’s 1971 type theory (the inconsistent one) in a bidirectional style and show why it has type
preservation, even without normalization.
