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Research and Advances

Two languages for estimating program efficiency

Two languages enabling their users to estimate the efficiency of computer programs are presented. The program whose efficiency one wishes to estimate is written in the first language, a go-to-less programming language which includes most of the features of Algol 60. The second language consists of interactive commands enabling its users to provide additional information about the program written in the first language and to output results estimating its efficiency. Processors for the two languages are also described. The first processor is a syntax-directed translator which compiles a program into a symbolic formula representing the execution time for that program. The second processor is a set of procedures for algebraic manipulation which can be called by the user to operate on the formula produced by the first processor. Examples of the usage of the two languages are included. The limitations of the present system, its relation to Knuth's work on the analysis of algorithms, and some of the directions for further research are also discussed.
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Research and Advances

Order-n correction for regular languages

A method is presented for calculating a string B, belonging to a given regular language L, which is “nearest” (in number of edit operations) to a given input string &agr;. B is viewed as a reasonable “correction” for the possibly erroneous string &agr;, where &agr; was originally intended to be a string of L. The calculation of B by the method presented requires time proportional to |&agr;|, the number of characters in &agr;. The method should find applications in information retrieval, artificial intelligence, and spelling correction systems.
Research and Advances

The treatment of data types in EL1

In constructing a general purpose programming language, a key issue is providing a sufficient set of data types and associated operations in a manner that permits both natural problem-oriented notation and efficient implementation. The EL1 language contains a number of features specifically designed to simultaneously satisfy both requirements. The resulting treatment of data types includes provision for programmer-defined data types and generaic routines, programmer control over type conversion, and very flexible data type behavior, in a context that allows efficient compiled code and compact data representation.
Research and Advances

Reduction of compilation costs through language contraction

Programming languages tailored to particular groups of users can often be constructed by removing unwanted features from a general purpose language. This paper describes the use of simulation techniques to predict the savings in compilation cost achievable by such an approach. The results suggest a function which describes the effect of changes in the power of a language on the compilation cost of an algorithm expressed in that language: when features not actually used by the algorithm are removed from the language, the cost of compiling the algorithm decreases moderately, but when features that are needed are removed, the compilation cost increases sharply.
Research and Advances

A model for masking rotational latency by dynamic disk allocation

This paper presents the background and algorithms for masking the rotational latency of a disk or drum. It discusses the anticipatory input and output of blocks of data to buffer and primary memories for a mono-programmed computer system. A basic permutation algorithm and several variations are given. Because of the anticipatory nature of the I/O scheduling, these algorithms are restricted to classes of programs with predictable behavior. While the methods are not restricted to numerical computations, matrix and partial differential equation methods are typical examples of their use. It is shown that latency may be masked using a small amount of buffer memory. The methods discussed are independent of the overall size of the data base being considered.
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Research and Advances

More on algorithms that reveal properties of floating point arithmetic units

In the interests of producing portable mathematical software, it is highly desirable for a program to be able directly to obtain fundamental properties of the environment in which it is to run. The installer would then not be obliged to change appropriate magic constants in the source code, and the user would not have to provide information he may very well not understand. Until the standard definitions of programming languages are changed to require builtin functions that provide this information [1, 3], we will have to resort to writing routines that discover it.
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Research and Advances

Computation of page fault probability from program transition diagram

An algorithm is given for calculating page fault probability in a virtual memory system operating under demand paging with various memory sizes and replacement rules. A first order Markov model of program behavior is assumed, and a representation of the system based on memory states, control states, and memory substates is presented. The algorithm is general in the sense that the page fault probabilities can be calculated for nonpredictive replacement rules applied to any program represented by a one-step Markov chain. A detailed example is given to illustrate the algorithm for Random and Least Recently Used (LRU) replacement rules.
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Research and Advances

Copying list structures using bounded workspace

Two new algorithms are presented for list structure copying using bounded workspace. The first, of primarily theoretical interest, shows that without cell tag bits the task can be performed in time n2. The second algorithm, assuming one tag bit in each cell, delivers attractive practical speed. Any noncyclic structure is copied in linear speed, while cyclic structures are copied in average time less than n log n. No foreknowledge of cycle absence is necessary to achieve linear speed. A variation of the second algorithm solves an open problem concerning list structure marking. That result demonstrates that marking can be done in average time n log n without the aid of supplemental tag bits or stacks.
Research and Advances

Execution characteristics of programs in a page-on-demand system

h show the execution characteristics of two types of commonly used programs in a large-scale, time-shared computer system. A software monitoring facility built into the supervisor was used for data collection during normal system operation. These data were analyzed, and results of this analysis are presented for a Fortran compiler and an interactive line file editor. Probability distribution functions and other data are given for such things as CPU intervals, I/O intervals, and the number of such intervals during execution. Empirical distributions are compared with simple theoretical distributions (exponential, hyperexponential, and geometric). Other data show paging characteristics of tasks as a function of the number of pages those tasks have in core.
Research and Advances

An improved program-synthesizing algorithm and its correctness

An improved program-synthesizing algorithm based on the algorithm proposed by Waldinger and Lee in 1969 is given. In the old algorithm, the program-synthesizing problem is translated into a theorem-proving problem, and a program is obtained by analyzing a proof. For the improved algorithm, the analysis is not necessary, and a program is obtained as soon as the proof is completed. This is achieved by using a modified variable tracing mechanism invented by Green in 1969. The correctness of the improved algorithm is also proved; i.e. the program thus obtained always satisfies the specification.
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Research and Advances

On Lion’s counter example for Gotlieb’s method for the construction of school timetables

The timetable problem is an essentially discrete problem. Although the discrete problem may have no feasible solution, there may exist a solution to the equivalent continuous problem. An example, is given, for which the nondiscrete solution can be interpreted as a set of timetables, differing from week to week, which together satisfy the long-term requirements of the timetable problem.
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Research and Advances

Parallelism in tape-sorting

Two methods for employing parallelism in tape-sorting are presented. Method A is the natural way to use parallelism. Method B is new. Both approximately achieve the goal of reducing the processing time by a divisor which is the number of processors.
Research and Advances

Dynamic memory repacking

A probabilistic model of a multiprogramming system is exercised in order to determine the conditions under which the dynamic repacking of main memory is beneficial. An expression is derived for the maximum interference that a repacking process may introduce before the original performance of the system is degraded. Alternative approaches to repacking are discussed, and the operating conditions that lead to improved system throughput through repacking are delineated.
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Research and Advances

Optimal space allocation on disk storage devices

When the amount of space required for file storage exceeds the amount which can be kept online, decisions must be made as to which files are to be permanently resident and which mountable. These decisions will affect the number of mount requests issued to the operators. This is often a bottleneck in a computing facility, and reducing the number of mounts thus decreases turnaround time. An optimization model for the assignment of files to disk packs, and packs to either resident or nonresident status is presented. Heuristics are suggested for those cases in which it is Inefficient to compute the actual optimum.
Research and Advances

On the construction of a representative synthetic workload

A general method of constructing a drive workload representative of a real workload is described. The real workload is characterized by its demands on the various system resources. These characteristics of the real workload are obtained from the system accounting data. The characteristics of the drive workload are determined by matching the joint probability density of the real workload with that of the drive workload. The drive workload is realized by using a synthetic program in which the characteristics can be varied by varying the appropriate parameters. Calibration experiments are conducted to determine expressions relating the synthetic program parameters with the workload characteristics. The general method is applied to the case of two variables, cpu seconds and number of I/O activities; and a synthetic workload with 88 jobs is constructed to represent a month's workload consisting of about 6000 jobs.
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