Parameterizing by the Number of Numbers

The usefulness of parameterized algorithmics has often depended on what Niedermeier has called, "the art of problem parameterization". In this paper we introduce and explore a novel but general form of parameterization: the number of numbers. Several classic numerical problems, such as Subset Sum, Partition, 3-Partition, Numerical 3-Dimensional Matching, and Numerical Matching with Target Sums, have multisets of integers as input. We initiate the study of parameterizing these problems by the number of distinct integers in the input. We rely on an FPT result for ILPF to show that all the above-mentioned problems are fixed-parameter tractable when parameterized in this way. In various applied settings, problem inputs often consist in part of multisets of integers or multisets of weighted objects (such as edges in a graph, or jobs to be scheduled). Such number-of-numbers parameterized problems often reduce to subproblems about transition systems of various kinds, parameterized by the size of the system description. We consider several core problems of this kind relevant to number-of-numbers parameterization. Our main hardness result considers the problem: given a non-deterministic Mealy machine M (a finite state automaton outputting a letter on each transition), an input word x, and a census requirement c for the output word specifying how many times each letter of the output alphabet should be written, decide whether there exists a computation of M reading x that outputs a word y that meets the requirement c. We show that this problem is hard for W[1]. If the question is whether there exists an input word x such that a computation of M on x outputs a word that meets c, the problem becomes fixed-parameter tractable

Interaction and observation, categorically

This paper proposes to use dialgebras to specify the semantics of interactive systems in a natural way. Dialgebras are a conservative extension of coalgebras. In this categorical model, from the point of view that we provide, the notions of observation and interaction are separate features. This is useful, for example, in the specification of process equivalences, which are obtained as kernels of the homomorphisms of dialgebras. As an example we present the asynchronous semantics of the CCS.Comment: In Proceedings ICE 2011, arXiv:1108.014

The Cholecystectomy As A Day Case (CAAD) Score: A Validated Score of Preoperative Predictors of Successful Day-Case Cholecystectomy Using the CholeS Data Set

Background Day-case surgery is associated with significant patient and cost benefits. However, only 43% of cholecystectomy patients are discharged home the same day. One hypothesis is day-case cholecystectomy rates, defined as patients discharged the same day as their operation, may be improved by better assessment of patients using standard preoperative variables. Methods Data were extracted from a prospectively collected data set of cholecystectomy patients from 166 UK and Irish hospitals (CholeS). Cholecystectomies performed as elective procedures were divided into main (75%) and validation (25%) data sets. Preoperative predictors were identified, and a risk score of failed day case was devised using multivariate logistic regression. Receiver operating curve analysis was used to validate the score in the validation data set. Results Of the 7426 elective cholecystectomies performed, 49% of these were discharged home the same day. Same-day discharge following cholecystectomy was less likely with older patients (OR 0.18, 95% CI 0.15–0.23), higher ASA scores (OR 0.19, 95% CI 0.15–0.23), complicated cholelithiasis (OR 0.38, 95% CI 0.31 to 0.48), male gender (OR 0.66, 95% CI 0.58–0.74), previous acute gallstone-related admissions (OR 0.54, 95% CI 0.48–0.60) and preoperative endoscopic intervention (OR 0.40, 95% CI 0.34–0.47). The CAAD score was developed using these variables. When applied to the validation subgroup, a CAAD score of ≤5 was associated with 80.8% successful day-case cholecystectomy compared with 19.2% associated with a CAAD score >5 (p < 0.001). Conclusions The CAAD score which utilises data readily available from clinic letters and electronic sources can predict same-day discharges following cholecystectomy

State Machine Abstraction Layer

Part 1: Information & Communication Technology-EurAsia Conference 2014, ICT-EurAsia 2014International audienceSmalldb uses a non-deterministic parametric finite automaton combined with Kripke structures to describe lifetime of an entity, usually stored in a traditional SQL database. It allows to formally prove some interesting properties of resulting application, like access control of users, and provides primary source of metadata for various parts of the application, for example automatically generated user interface and documentation

Hardware and Petri Nets: Application to Asynchronous Circuit Design

. Asynchronous circuits is a discipline in which the theory of concurrency is applied to hardware design. This paper presents an overview of a design framework in which Petri nets are used as the main behavioral model for specification. Techniques for synthesis, analysis and formal verification of asynchronous circuits are reviewed and discussed. 1 Introduction Finite State Machines has been the most traditional model of computation for sequential circuits [25, 26]. It is a state-based model in which the system, being in a state, reads some inputs, writes some outputs and moves to another state. Time is discretized by the notion of cycle, which is the time that takes the system to move from one state to another. This model is appropriate to derive circuit implementations with a periodic signal, the clock, that dictates the time instants in which the system changes state. The cycle is the finest degree of granularity at which operations are scheduled. Thus, two operations are conc..

Contracts for Multi-instance UML Activities

International audienceWe present a novel way of encapsulating UML activities using interface contracts, which allows to verify functional properties that depend on the synchronization of parallel instances of software components. Encapsulated UML activities can be reused together with their verification results in SPACE, a model-driven engineering method for reactive systems. Such compositional verification significantly improves the scalability of the method. Employing a small example of a load balancing system, we explain the semantics of the contracts using the temporal logic TLA. Thereafter, we propose a more easily comprehensible graphical notation and clarify that the contracts are able to express the variants of multiplicity that we can encounter using UML activities. Finally, we give the results of verifying some properties of the example system using the TLC model checker