output
20152022
most citedIdentifying the Parametric Occurrence of Multiple Steady States for some Biological Networks

30 citations

21 papers

cs.CR2022★ 14 cited

Guaranteeing Timed Opacity using Parametric Timed Model Checking

Étienne André, Didier Lime, Dylan Marinho +1

Information leakage can have dramatic consequences on systems security. Among harmful information leaks, the timing information leakage occurs whenever an attacker successfully ded…

eess.SY2022★ 1 cited

Offline and online energy-efficient monitoring of scattered uncertain logs using a bounding model

Bineet Ghosh, Étienne André

Monitoring the correctness of distributed cyber-physical systems is essential. Detecting possible safety violations can be hard when some samples are uncertain or missing. We monit…

q-bio.MN2022★ 12 cited

ODEbase: A Repository of ODE Systems for Systems Biology

Christoph Lüders, Thomas Sturm, Ovidiu Radulescu

Recently, symbolic computation and computer algebra systems have been successfully applied in systems biology, especially in chemical reaction network theory. One advantage of symb…

cs.SE2021★ 4 cited

Parametric schedulability analysis of a launcher flight control system under reactivity constraints

Étienne André, Emmanuel Coquard, Laurent Fribourg +2

The next generation of space systems will have to achieve more and more complex missions. In order to master the development cost and duration of such systems, an alternative to a…

eess.SY2021★ 5 cited

Robust optimal periodic control using guaranteed Euler's method

Jawher Jerray, Laurent Fribourg, Étienne André

In this paper, we consider the application of optimal periodic control sequences to switched dynamical systems. The control sequence is obtained using a finite-horizon optimal meth…

cs.LO2020★ 1 cited

Superposition for Lambda-Free Higher-Order Logic

Alexander Bentkamp, Jasmin Blanchette, Simon Cruanes +1

We introduce refutationally complete superposition calculi for intentional and extensional clausal -free higher-order logic, two formalisms that allow partial application and ap…

cs.LO2020★ 3 cited

Reachability and liveness in parametric timed automata

Étienne André, Didier Lime, Olivier H. Roux

We study timed systems in which some timing features are unknown parameters. Parametric timed automata (PTAs) are a classical formalism for such systems but for which most interest…

cs.LO2020★ 1 cited

SCL with Theory Constraints

Martin Bromberger, Alberto Fiori, Christoph Weidenbach

We lift the SCL calculus for first-order logic without equality to the SCL(T) calculus for first-order logic without equality modulo a background theory. In a nutshell, the SCL(T)…

cs.SC2020★ 5 cited

A Linear Algebra Approach for Detecting Binomiality of Steady State Ideals of Reversible Chemical Reaction Networks

Hamid Rahkooy, Ovidiu Radulescu, Thomas Sturm

Motivated by problems from Chemical Reaction Network Theory, we investigate whether steady state ideals of reversible reaction networks are generated by binomials. We take an algeb…

cs.SC2019★ 30 cited

Identifying the Parametric Occurrence of Multiple Steady States for some Biological Networks

R. Bradford, J. H. Davenport, M. England +8

We consider a problem from biological network analysis of determining regions in a parameter space over which there are multiple steady states for positive real values of variables…

cs.LO2018★ 4 cited

Formal Proofs of Tarjan's Algorithm in Why3, Coq, and Isabelle

Ran Chen, Cyril Cohen, Jean-Jacques Levy +2

Comparing provers on a formalization of the same problem is always a valuable exercise. In this paper, we present the formal proof of correctness of a non-trivial algorithm from gr…

cs.SE2018★ 7 cited

Explicit Modelling of Physical Measures: From Event-B to Java

J Paul Gibson, Dominique Méry

The increasing development of cyber-physical systems (CPSs) requires modellers to represent and reason about physical values. This paper addresses two major, inter-related, aspects…

cs.LO2018

Proceedings Joint Workshop on Handling IMPlicit and EXplicit knowledge in formal system development (IMPEX) and Formal and Model-Driven Techniques for Developing Trustworthy Systems (FM&MDD)

Régine Laleau, Dominique Méry, Shin Nakajima +1

This volume contains the joint proceedings of IMPEX 2017, the first workshop on Handling IMPlicit and EXplicit knowledge in formal system development and FM&MDD, the second worksho…

cs.LO2017★ 12 cited

Auxiliary Variables in TLA+

Leslie Lamport, Stephan Merz

Auxiliary variables are often needed for verifying that an implementation is correct with respect to a higher-level specification. They augment the formal description of the implem…

cs.LO2016★ 8 cited

Extending Nunchaku to Dependent Type Theory

Simon Cruanes, Jasmin Christian Blanchette

Nunchaku is a new higher-order counterexample generator based on a sequence of transformations from polymorphic higher-order logic to first-order logic. Unlike its predecessor Nitp…

cs.LO2015

Encoding TLA+ set theory into many-sorted first-order logic

Stephan Merz, Hernán Vanzetto

We present an encoding of Zermelo-Fraenkel set theory into many-sorted first-order logic, the input language of state-of-the-art SMT solvers. This translation is the main component…

cs.PL2015★ 1 cited

Proceedings Second International Workshop on Formal Integrated Development Environment

Catherine Dubois, Paolo Masci, Dominique Méry

This volume contains the proceedings of F-IDE 2015, the second international workshop on Formal Integrated Development Environment, which was held as an FM 2015 satellite event, on…

cs.LO2015★ 10 cited

Linear Integer Arithmetic Revisited

Martin Bromberger, Thomas Sturm, Christoph Weidenbach

We consider feasibility of linear integer programs in the context of verification systems such as SMT solvers or theorem provers. Although satisfiability of linear integer programs…

cs.SC2015★ 10 cited

Better Answers to Real Questions

Marek Kosta, Thomas Sturm, Andreas Dolzmann

We consider existential problems over the reals. Extended quantifier elimination generalizes the concept of regular quantifier elimination by providing in addition answers, which a…

cs.SC2015★ 7 cited

Subtropical Real Root Finding

Thomas Sturm

We describe a new incomplete but terminating method for real root finding for large multivariate polynomials. We take an abstract view of the polynomial as the set of exponent vect…

cs.LO2015★ 4 cited

Bernays-Schoenfinkel-Ramsey with Simple Bounds is NEXPTIME-complete

Marco Voigt, Christoph Weidenbach

First-order predicate logic extended with linear arithmetic is undecidable, in general. We show that the Bernays-Schönfinkel-Ramsey (BSR) fragment extended with linear arithmetic r…