Functional reactive programming (FRP) is a paradigm extending functional languages with primitives which operate on state. Typical FRP systems contain many dozens of such primitives. This thesis aims to identify a minimal subset of primitives which captures the same set of behavior as these systems, and to provide an axiomatic semantics for them using first-order linear temporal logic, with the aim of utilizing these semantics in formal verification of FRP programs. Furthermore, we identify several important properties of these primitives and prove that they are satisfied using the Coq proof assistant.

This thesis describes TeaBag, which is a debugger for functional logic computations. TeaBag is an accessory of a virtual machine currently under development. A distinctive feature of this machine is its operational completeness of computations, which places novel demands on a debugger. This thesis describes the features of TeaBag, in particular the handling of non-determinism, the ability to control nondeterministic steps, to remove context information, to toggle eager evaluation, and to set breakpoints on both functions and terms. This thesis also describes TeaBag's architecture and its interaction with the associated virtual machine. Finally, some debugging sessions of defective programs are presented to demonstrate TeaBag's ability to locate bugs. A distinctive feature of TeaBag is how it presents non-deterministic trace steps of an expression evaluation trace to the user. In the past expression evaluation traces were linearized via backtracking. However, the presence of backtracking makes linear traces difficult to follow. TeaBag does not present backtracking to the user. Rather TeaBag presents the trace in two parts. One part is the search space which has a tree structure and the other part is a linear sequence of steps for one path through the search space.

Thesis (M.S.)--University of North Texas, Dec., 2009. / Title from title page display. Includes bibliographical references.

Non-strict pure functional programming often requires redesigning algorithms and data structures to work more effectively under new constraints of non-strict evaluation and immutable state. Graph drawing algorithms, while numerous and broadly studied, have no presence in the non-strict pure functional programming model. Additionally, there is currently no freely licensed standalone toolkit used to quantitatively analyze aesthetics of graph drawings. This thesis addresses two previously unexplored questions. Can a force-directed graph drawing algorithm be implemented in a non-strict functional language, such as Haskell, and still be practically usable? Can an easily extensible aesthetic measuring tool be implemented in a language such as Haskell and still be practically usable? The focus of the thesis is on implementing one of the simplest force-directed algorithms, that of Fruchterman and Reingold, and comparing its resulting aesthetics to those of a well-known C++ implementation of the same algorithm.

<p>Analizirani su važniji predstavnici čisto-funkcionalnih programskih jezika i važniji načini njihove implementacije . Na osnovu uočenih osobina, jezici su podeljeni na klase. Definisan je novi medjujezik za implementaciju čisto-funkcionalnih programskih jezika kojim je moguće predstaviti vi&scaron;e klasa funkcionalnih programskih jezika nego postojećim medjujezicima. Konstruisani su algoritmi translacije 4 vi&scaron;a funkcionalna jezika u medjujezik i algoritmi prevodjenja medjujezika u ma&scaron;inske jezike 5 apstraktnih ma&scaron;ina. Diskutovani su neki praktični aspekti implementacije nedjujezika i izvr&scaron;ene analize performansi nekoliko&nbsp; realizovanih prevodilaca.</p> / <p>Important purely functional languages and important ways of their implementation are analyzed. Based on observed characteristics, functional languages are divided into appropriate classes. A new specialized intermediate code for implementation of functional programming languages is defined, which enable a representation of more classes of high-level functional languages than existing intermediate codes. Algorithms for translation of four high-level functional languages into intermediate code are constructed, as well as algorithms for compilation of intermediate code into five abstract machine languages. Performance of several implemented compilers are analyzed.</p>

Software systems are growing ever larger. Early software systems were singular units developed by small teams of programmers writing in the same programming language. Modern software systems, on the other hand, consist of numerous interoperating components written by different teams and in different programming languages. While this more modular and diversified approach to software development has enabled us to build ever larger and more complex software systems, it has, however, made it harder to ensure the reliability and security of software systems. In this thesis we study and remedy the security flaws that arise when attempting to resolve the difference in abstractions between components written in high-level functional programming languages and components written in imperative low-level programming languages. High-level functional programming languages, treat computation as the evaluation of mathematical functions. Low-level imperative programming languages, on the contrary, provide programmers with features that enable them to directly interact with the underlying hardware. While these features help programmers write more efficient software, they also make it easy to write malware through techniques such as buffer overflows and return oriented programming. Concretely, we develop new run-time approaches for protecting components written in functional programming languages from malicious components written in low-level programming languages by making using of an emerging memory isolation mechanism.This memory isolation mechanism is called the Protected Module Architecture (PMA). Informally, PMA isolates the code and data that reside within a certain area of memory by restricting access to that area based on the location of the program counter. We develop these run-time protection techniques that make use of PMA for three important areas where components written in functional programming languages are threatened by malicious low-level components: foreign function interfaces, abstract machines and compilation. In everyone of these three areas, we formally prove that our run-time protection techniques are indeed secure. In addtion to that we also provide implementations of our ideas through a fully functional compiler and a well-performing abstract machine.

Functional languages offer a number of advantages over their imperative counterparts. However, a substantial amount of the time spent on processing functional programs is due to the large amount of storage management which must be performed. Two apparent reasons for this are that the programmer is prevented from including explicit storage management operations in programs which have a purely functional semantics, and that more readable programs are often far from optimal in their use of storage. Correspondingly, two alternative approaches to the optimisation of store usage at compile-time are presented in this thesis. The first approach is called compile-time garbage collection. This approach involves determining at compile-time which cells are no longer required for the evaluation of a program, and making these cells available for further use. This overcomes the problem of a programmer not being able to indicate explicitly that a store cell can be made available for further use. Three different methods for performing compile-time garbage collection are presented in this thesis; compile-time garbage marking, explicit deallocation and destructive allocation. Of these three methods, it is found that destructive allocation is the only method which is of practical use. The second approach to the optimisation of store usage is called compile-time garbage avoidance. This approach involves transforming programs into semantically equivalent programs which produce less garbage at compile-time. This attempts to overcome the problem of more readable programs being far from optimal in their use of storage. In this thesis, it is shown how to guarantee that the process of compile-time garbage avoidance will terminate. Both of the described approaches to the optimisation of store usage make use of the information obtained by usage counting analysis. This involves counting the number of times each value in a program is used. In this thesis, a reference semantics is defined against which the correctness of usage counting analyses can be proved. A usage counting analysis is then defined and proved to be correct with respect to this reference semantics. The information obtained by this analysis is used to annotate programs for compile-time garbage collection, and to guide the transformation when compile-time garbage avoidance is performed. It is found that compile-time garbage avoidance produces greater increases in efficiency than compile-time garbage collection, but much of the garbage which can be collected by compile-time garbage collection cannot be avoided at compile-time. The two approaches are therefore complementary, and the expressions resulting from compile-time garbage avoidance transformations can be annotated for compile-time garbage collection to further optimise the use of storage.

In this thesis is presented design and implementation of a system performing genetic programming in simply typed lambda calculus. Population initialization method based on term generating technique producing typed lambda terms in long normal form is introduced. This method is parameterized by simple search strategy. Several search strategies are presented, such as strategy for systematic generation or strategy corresponding to standard ramped half-and-half method. Another such a strategies called \textit{geometric} strategy is further examined in experiments and shown to have various desirable effects such as improved success rate, lesser time consumption and smaller average term size in comparison with standard ramped half-and-half generating method. Other performance enhancements are proposed and supported by experiments such as eta-normalization of generated individuals and @-tree representation of individuals. Abstraction elimination is utilized to enable use of simple tree- swapping crossover. Powered by TCPDF (www.tcpdf.org)

Moore’s law reaching its physical limitations has pushed the industry to produce multicore processors. However, programming those processors with an imperative language is not easy since it requires developers to create and synchronize threads. A pure functional language is an adequate tool for this task both from the architectural point of view and from the developer’s. We will show that an architecture can benefit from the implicit parallelism present on functional programs and from the lack of side effects making it easier to parallelize. The developer benefits from functional languages from the superior expressiveness of the language to avoid bugs. In this dissertation, we present the ACQuA architecture, a multicore accelerator created to explore parallelism available in function calls from a pure functional program. ACQuA uses hardware support and a specificallytailored memory organization to minimize the overheads of scheduling, communication, and synchronization. Function calls are placed into a queue and are scheduled to different processing units. The processing units are interconnected and exchange results from function applications. In this work we defined a high level model of the accelerator and how to compile a functional program to it. We also simulated the accelerator and evaluated results, such as speedup, memory usage, and communication overhead of the proposed architecture. We defined the necessary traits of a program to achieve a good speedup on the architecture. On the ideal use case, we can increase the speed up at the same rate we increase the number of processing units in the architecture.

Operating systems software is fundamental to modern computer systems: all other applications are dependent upon the correct and timely provision of basic system services. At the same time, advances in programming languages and type theory have lead to the creation of functional programming languages with type systems that are designed to combine theorem proving with practical systems programming. The Terrier operating system project focuses on low-level systems programming in the context of a multi-core, real-time, embedded system, while taking advantage of a dependently typed programming language named ATS to improve reliability. Terrier is a new point in the design space for an operating system, one that leans heavily on an associated programming language, ATS, to provide safety that has traditionally been in the scope of hardware protection and kernel privilege. Terrier tries to have far fewer abstractions between program and hardware. The purpose of Terrier is to put programs as much in contact with the real hardware, real memory, and real timing constraints as possible, while still retaining the ability to multiplex programs and provide for a reasonable level of safety through static analysis.