The main time measure currently used for real-time languages (worst-case time) is well-known not to be modular in general, which makes average-case analysis notoriously difficult, involving a variety of techniques which typically do not allow for automation. This book introduces the first programming language for which average-case time analysis of its programs is guaranteed to be modular. The book includes sample programs and sample derivations of the average-case time of these programs to illustrate this radically different approach to average-case timing. The book presets a single foundation for Average-Case Analysis, based on the notion of Random Structure Preservation, and solves several well-known open problems discussed by Knuth.

Novel foundation provided for this classical area of computing As opposed to series of methods to match algorithm under consideration, new uniform foundation is provided: semi-automatable, providing single approach to analyze all algorithms from a wide class Introduces modular static analysis tool Distri-Track, developed at the author's research center--based on new modular calculus for average-case analysis Includes supplementary material: sn.pub/extras

Inhalt
Introductory Notions.- Compositionality.- Random Bag Preservation and Isolated Subsets.- Basic MOQA Operations.- Average-Case Time of Basic MOQA Operations.- The MOQA Language.- Examples of MOQA Programs.- Average-Case Analysis of MOQA programs.- Distri-Track Joint with D. Hickey and M. Boubekeur.- Conclusion and FutureWork.