bounds and leads to a parallel algorithm for loop generation.

This paper presents an interpolation-based method of inferring arbitrary degree loop-bound functions for Java programs. Given a loop, by its “loop-bound function ” we mean a function with the numeric program variables as its parameters, that is used to bound the number of loop-iterations. Using our

Worst-case execution time (WCET) estimation tools are complex pieces of software performing tasks such as computation on control flow graphs (CFGs) and bound calculation. In this paper, we present a formal verification (in Coq) of a loop bound estimation. It relies on program slicing and bound

To calculate the WCET of a program, safe upper bounds on the number of loop iterations for all loops in the program are needed. As the manual annotation of all loops with such bounds is difficult and time consuming, the WCET analyzer aiT originally developed by Saarland University and AbsInt Gmb

–117]. This construction is substantially more complicated than the corresponding construction for classical Turing machines (TMs); in fact, even simple primitives such as looping, branching, and composition are not straightforward in the context of quantum Turing machines. We establish how these familiar primitives can

We describe the current state of our tool Loopus which computes loop bounds for C programs. In this one-page abstract we describe the current state of our tool Loopus which automatically computes loop bounds for C programs. Loopus can also be seen as contribution towards solving the termination

present a method for deriving such flow information called abstract execution. This method can automatically calculate loop bounds, bounds for including nested loops, as well as many types of in-feasible paths. Our evaluations show that it can calcu-late WCET estimates automatically, without any user

Abstract We discuss the ǫ-method as used in various recent QED bound-state calculations by considering mathematical model examples. Recently obtained results for higher-order self-energy binding corrections at the two-loop level are reviewed. Problems associated with the interpretation of squared

different loops can be iterated. In this paper we present an approach for deriving upper loop bounds based on a combination of standard program analysis techniques. The idea is to bound the number of different states in the loop which can influence the exit conditions. Given that the loop terminates

Supercompilers perform complex program transformations which often result in new loop bounds. This paper shows that, under the usual assumptions in automatic parallelization, most transformations on loop nests can be expressed as affine transformations on integer sets de ned by polyhedra