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Année 2019

Exposés hors-séries
Mercredi 12 juin 2019, 19 heures, 3052
John Wright (MIT) NEEXP in MIP* (live video projection of TCS+ talk)

A long-standing puzzle in quantum complexity theory is to understand the power of the class MIP* of multiprover interactive proofs with shared entanglement. This question is closely related to the study of entanglement through non-local games, which dates back to the pioneering work of Bell. In this work we show that MIP* contains NEEXP (non-deterministic doubly-exponential time), exponentially improving the prior lower bound of NEXP due to Ito and Vidick. Our result shows that shared entanglement exponentially increases the power of these proof systems, as the class MIP of multiprover interactive proofs without shared entanglement is known to be equal to NEXP.

Exposés hors-séries
Mercredi 15 mai 2019, 19 heures, 3052
Ewin Tang (University of Washington) Quantum-inspired classical linear algebra algorithms: why and how? (live video projection of TCS+ talk)

Over the past ten years, the field of quantum machine learning (QML) has produced many polylogarithmic-time procedures for linear algebra routines, assuming certain “state preparation” assumptions. Though such algorithms are formally incomparable with classical computing, a recent line of work uses an analogous classical model of computation as an effective point of comparison to reveal speedups (or lack thereof) gained by QML. The resulting “dequantized” algorithms assume sampling access to input to speed up runtimes to polylogarithmic in input size.

In this talk, we will discuss the motivation behind this model and its relation to existing randomized linear algebra literature. Then, we will delve into an example quantum-inspired algorithm: Gilyen, Lloyd, and Tang's algorithm for low-rank matrix inversion. This dequantizes a variant of Harrow, Hassidim, and Lloyd's matrix inversion algorithm, a seminal work in QML. Finally, we will consider the implications of this work on exponential speedups in QML. No background of quantum computing is assumed for this talk.

Exposés hors-séries
Mercredi 24 avril 2019, 9 heures, Amphitheater Turing
Laurent Viennot, Guillaume Chapuy, Claire Mathieu, Ahmed Bouajjani, Amaury Pouly, Constantin Enea, Yves Guiraud, Jean Krivine, Hugo Herbelin (IRIF) Scientific talk series for the visit of Ali Charara, head of INS2I at CNRS

Ali Charara, director of INS2I at CNRS, visits IRIF on the morning of April 24th. The research conducted at IRIF will be presented as well as 6 specific scientific talks.

The visit will be followed by a light buffet lunch.

Exposés hors-séries
Mercredi 17 avril 2019, 19 heures, 3052
Thatchaphol Saranurak (Toyota Technological Institute at Chicago) Breaking Quadratic Time for Small Vertex Connectivity (live video projection of TCS+ talk)

Vertex connectivity is a classic extensively-studied problem. Given an integer k, its goal is to decide if an n-node m-edge graph can be disconnected by removing k vertices. Although a O(m)-time algorithm was postulated since 1974 [Aho, Hopcroft, and Ullman], and despite its sibling problem of edge connectivity being resolved over two decades ago [Karger STOC'96], so far no vertex connectivity algorithms are faster than O(n^2) time even for k = 4 and m = O(n). In the simplest case where m = O(n) and k = O(1), the O(n^2) bound dates five decades back to [Kleitman IEEE Trans. Circuit Theory'69]. For the general case, the best bound is ~O( min{ kn^2, n^\omega + nk^\omega } ) [Henzinger, Rao, Gabow FOCS'96; Linial, Lovász, Wigderson FOCS'86].

In this talk, I will present a randomized Monte Carlo algorithm with ~O(m + k^3 n) time. This algorithm proves the conjecture by Aho, Hopcroft, and Ullman when k=O(1) up to a polylog factor, breaks the 50-year-old bound by Kleitman, is fastest for 4 < k < n^{0.456}. The story is similar for the directed graphs where we obtain an algorithm running time at most ~O(k^2 m).

The key to our results is to avoid computing single-source connectivity, which was needed by all previous exact algorithms and is not known to admit o(n^2) time. Instead, we design the first local algorithm for computing vertex connectivity; without reading the whole graph, our algorithm can find a separator of size at most k or certify that there is no separator of size at most k “near” a given seed node.

This talk is based on joint works with Danupon Nanongkai and Sorrachai Yingchareonthawornchai.

This is a live video projection of a TCS+ talk. Live questions will be possible

Exposés hors-séries
Mercredi 10 avril 2019, 14 heures, Salle 3058
Lélia Blin (LIP6) Algorithmes auto-stabilisants

Dans le contexte des réseaux à grande échelle, la prise en compte des pannes est une nécessité. L’auto-stabilisation est une approche algorithmique de la tolérance aux pannes dans les systèmes distribués dont le but est de gérer la corruption de la mémoire des processeurs dues à des pannes transitoires. Plusieurs paramètres caractérisent l’efficacité d’un algorithme auto-stabilisant, dont en particulier (1) le temps pris par le système pour retourner dans une configuration légale suite à une corruption arbitraire de la mémoire de ses processeurs, et (2) l’espace mémoire utilisé par les processeurs pour exécuter l’algorithme. La minimisation de l'espace mémoire est motivée pas de nombreux aspects : existence de réseaux (tels que les réseaux de capteurs) offrant des espaces mémoires limités, la minimisation des échanges de données entre processeurs voisins, la limitation du stockage d’information afin de pouvoir utiliser des techniques de redondance, etc. Ce séminaire présentera l’auto-stabilisation au travers deux grands problèmes classiques : la construction d’arbres couvrants, notamment d’arbres couvrants de poids minimum, et l’election d'un leader. Il présentera en particulier les liens entre auto-stabilisation et les techniques de décision distribuée, incluant le calcul de bornes inférieures sur l’espace mémoire nécessaire à la résolution par des algorithmes auto-stabilisants des problèmes susmentionnés.

Exposés hors-séries
Jeudi 4 avril 2019, 13 heures, Salle 3052
Kais Klai (LIPN) Model Checking of Stuttering-Invariant Temporal Properties Using Hybrid Graphs

Model checking is a powerful and widespread technique for the verification of finite distributed systems. However, the main hindrance for wider application of this technique is the well-known state explosion problem. In this talk, I will present some previous work to tackle this problem using reduced hybrid abstractions of the state space explored during the model checking process. Hybrid structures are explicit graphs with symbolic nodes (encoded with symbolic data structures such as decision diagrams). I will illustrate the efficiency of such structures in a general context and show their use to solve some specific problems like diagnosis and opacity checking of discret event systems.

Exposés hors-séries
Mercredi 3 avril 2019, 13 heures, Salle 1007
Josef Widder (Technische Universitaet Wien (Vienne, Autriche)) Distributed Algorithms meet Computer-Aided Verification

I will review some of my earlier results on work and time complexity of link-reversal routing algorithms, which were introduced by Gafni and Bertsekas in 1981. The theory we developed for the complexity analysis of these algorithms allowed us also to prove that executions of link reversal algorithms on large graphs are similar (a notion which we make precise) to executions on smaller graphs. The latter result has an interesting application to parameterized model checking of a link-reversal-based resource allocation scheme. In particular, we show cases where verification of large systems can be reduced to checking smaller ones.

The observation that distributed algorithm theory has interesting application in computer-aided verification motivated me to explore this connection in more depth. In the second part of the talk, I will present a line of research that in the recent years led to breakthroughs in parameterized model checking of fault-tolerant broadcasting algorithms. I will close the talk by discussing ongoing research lines and open challenges.

The results on link reversal is joint work with Bernadette Charron-Bost, Matthias Fuegger, Antoine Gaillard, and Jennifer Welch. Parameterized model checking of broadcasting algorithms is joint work with Igor Konnov, Marijana Lazic, and Helmut Veith.

Exposés hors-séries
Vendredi 29 mars 2019, 13 heures, Salle 3052
Duong-Hieu Phan (XLIM, Université de Limoges) Extractable Linearly-Homomorphic Signatures and Scalable Mix-Nets in Voting Schemes

Anonymity is a primary ingredient for our digital life. Several tools have been designed to address it, namely blind signatures, group signatures or anonymous credentials for authentication and randomizable encryption or mix-nets, for confidentiality. When it comes to complex electronic voting schemes, random shuffling of ciphertexts with mix-nets is the only known tool and has been largely used in practice, for example in the recent professional election of National Education with more than 430 000 votes. However, achieving anonymity requires huge and complex zero-knowledge proofs to guarantee the actual permutation of the initial ciphertexts.

In this talk, we propose a new approach for proving correct shuffling based on the new notion of extractable linearly-homomorphic signature: the mix-servers can simply randomize individual ballots (meaning the ciphertexts, the signatures, and the verification keys) with an additional global proof of constant size, and the output will be publicly verifiable. The computational complexity for the mix-servers is linear in the number of ciphertexts. It also remains linear in the number of ciphertexts for the verifiers, independently of the number of rounds of mixing. This leads to the most efficient technique of mix-nets, which is at the same time highly scalable.

(Joint work with Hebant Chloé and David Pointcheval)

Exposés hors-séries
Jeudi 28 mars 2019, 13 heures, Salle 3052
Anne Etien (LIFL) Code transformations: two cases

I will review some of my previous results on code transformations. Everybody knows refactoring that have been widespread by Martin Fowler at the end of the 1990s. A refactoring is a transformation, preserving the behavior of the software system. Such transformations have also the properties to be performed daily and to affect very few entities. At the opposite of the spectrum, there is architecture evolutions that occur once or twice in the software system lifecycle and involve almost the whole system. In between there are a large space for transformations frequently performed almost like refactoring but may impact the behavior. We present two contexts where we applied such transformations.

Exposés hors-séries
Mardi 26 mars 2019, 16 heures, Salle 3052
Marc Pouzet (ENS Paris) Zelus, un langage synchrone fonctionnel pour les systèmes hybrides

Le parallélisme synchrone est utilisé aujourd'hui de manière routinière pour concevoir et implémenter le logiciel de controle/commande critique, dans les avions ou les train, par exemple. Il permet d'écrire un modèle mathématique idéal du système en faisant l'hypothèse que tous les processus partagent une échelle de temps globale commune. On raisonne d'abord en négligeant les temps de calculs et de communication, ce qui simplifie la détection de certaines erreurs (interblocages, courses critiques) et les étapes de validation (simulation, test, vérification formelle). Puis on vérifie que le code généré par le compilateur respecte les contraintes de temps d'exécution pire-cas.

Les langages synchrones décrivent des systèmes à temps discret seulement. Ils ne permettent pas de modéliser, ni fidèlement ni très efficacement des systèmes contenant des dynamiques hybrides combinant des signaux à temps discret et à temps continu. Cela créé une rupture dans la chaîne de développement, avec un langage pour la modélisation hybride et un autre pour la modélisation ou l'implémementation du logiciel de contrôle.

Dans cet exposé, nous présenterons Zelus, une extension d'un langage synchrone avec des équations différentielles ordinaires (ODEs) et une opération de détection d'événement (zero-crossing). Il permet d'écrire dans un source unique, un modèle synchrone (à temps discret) du logiciel de controle et un modèle (à temps discret où à temps continu) de son environnement. Nous illustrerons le langage sur quelques exemples. Nous présenterons son système de types qui permet de cloisonner les parties à temps discret et les parties à temps continu pour rejeter des comportements étranges que l'on obtient avec les outils de modélisation hybrides les plus utilisés. Nous montrerons également son analyse par typage des boucles de causalité par typage. Enfin, nous montrerons le principe utilisé pour générer du code séquentiel qui est lié ensuite à un solveur numérique (ici Sundials Cvode). Si le temps le permet, nous discuterons une expérimentation en cours, d'ajout de contructions de programmes probabilistes, ainsi que quelques questions ouvertes autour du typage, de la sémantique et de la vérification.

Exposés hors-séries
Jeudi 21 mars 2019, 13 heures, Salle 3052
Reem Yassawi (Université de Lyon) Les automates cellulaires et dynamique symbolique

Les automates cellulaires sont des objets qui peuvent être interprétés, d’un point de vue informatique, comme modèles de calculs parallèles, ou d’un point de vue mathématique, comme systèmes dynamiques. Ils forment donc un pont entre deux domaines de science apparement éloignés. Je donne un bref survol de la théorie des automates cellulaires en dynamique symbolique. Ensuite j’expose deux problèmes différents autour des automates cellulaires auxquels je me suis intéressée.

Le premier problème concerne les propriétés de randomisation de certains automates cellulaires. La randomisation asymptotique est le processus par lequel un état initial de basse entropie est asymptotiquement transformée en un état d'entropie maximale, par l’action itérée de l’automate cellulaire. Je discute des conditions nécessaires et suffisantes pour qu’une telle randomisation survienne, et aussi d'un travail récent avec Eric Rowland.

La deuxième problématique est de caractériser les automates cellulaires qui préservent un langage donné. Je résume un travail récent avec Clemens Muellner, où nous obtenons un théorème de structure pour les automates cellulaires qui préservent certains langages HD0L.

Exposés hors-séries
Mercredi 20 mars 2019, 13 heures, Salle 3052
Lin Chen (LRI) Algorithm Design and Analysis in Wireless Networks

Algorithms are one of the most fundamental elements in computer science. Networks and networked systems are no exception. In this talk, I will present our recent research on some algorithmic problems of both fundamental and practical importance in modern networks and networked systems, more specifically, wireless networks. Methodologically, most of our analysis is systematically articulated as follows: (1) Establishment of theoretical performance bound, (2) Optimum or approximation algorithm design, (3) Further extension and generalization. Our objective is to make a tiny while systematic step forwards in the design and analysis of algorithms that can scale elegantly, act efficiently in terms of computation and communication, while keeping operations as local and distributed as possible.

Exposés hors-séries
Jeudi 21 février 2019, 14 heures, Salle 3052
Pablo Arrighi (Aix-Marseille Université) Quantum, automata, computability and universality

After giving a brief introduction to quantum evolutions, whether finite (automata) or infinite-dimensional (operators), I will explore their impact upon computability and universality. Most of the results I will mention rely on a decomposition of quantum operators into quantum automata, which is based upon the tacit assumption of a fixed partial order. Time-allowing, I will try to touch on the topical question of quantum partial orders.

Exposés hors-séries
Jeudi 21 février 2019, 11 heures 45, Salle 1007
Samuele Giraudo (Université Paris-Est Marne-la-Vallée) Graded graphs and operads

The set of all integer partitions admits the structure of a graded lattice, called Young lattice, which leads to a beautiful proof for the correspondence between pairs of Young tableaux of the same shape and factorial numbers. All this is due to the fact that this lattice is a differential poset, property introduced by Stanley. A generalization of this property has been provided by Fomin through graded graph duality. Some families of combinatorial objects admit such structures, and the counting of some Hasse walks reveal a nice combinatorics. We present here a new concept of graph duality, pairs of graded graphs of trees, and their lattice properties. We also show how to construct pairs of graded graphs from operads. This allows us to recover existing graphs (like the composition poset or the bracket tree) and to discover new ones.

Exposés hors-séries
Mercredi 20 février 2019, 13 heures, Salle 3052
Giulio Manzonetto (LIPN) A syntactic and semantic analysis of program equivalences

An important problem in theoretical computer science is to determine whether two programs are equivalent. For instance, this is needed to determine whether the optimizations performed by a compiler actually preserve the meaning of the input programs. For lambda calculi, it has become standard to consider two programs as equivalent whenever they can be plugged in any context without noticing any difference in their behavior. Such notion of equivalence depends on the behavior one is interested in observing. We provide syntactic and semantic characterizations of the equivalence arising by taking as observables the beta normal forms, corresponding to completely defined values. As a byproduct we obtain characterizations of the different degrees of extensionality in the theory of Böhm trees.

Exposés hors-séries
Jeudi 7 février 2019, 13 heures, Salle 3052
Sylvain Schmitz (LSV) The complexity of reachability in vector addition systems

The last few years have seen a surge of decision problems with an astronomical, non primitive-recursive complexity, in logic, verification, and games. While the existence of such uncontrived problems is known since the early 1980s, the field has matured with techniques for proving complexity lower and upper bounds and the definition of suitable complexity classes. This framework has been especially successful for analysing so-called `well-structured systems'—i.e., transition systems endowed with a well-quasi-order, which underly most of these astronomical problems—, but it turns out to be applicable to other decision problems that resisted analysis, including two famous problems: reachability in vector addition systems and bisimilarity of pushdown automata.

In this talk, I will explain how some of these techniques apply to reachability in vector addition systems, a landmark result in theoretical computer science, with applications in an array of fields ranging from program verification to data logics. The decidability of the problem was first shown by Mayr thanks to a decomposition algorithm. I will present succinctly the main ideas behind a tight Ackermannian complexity upper bound obtained with Jérôme Leroux for this algorithm.

Année 2018

Exposés hors-séries
Jeudi 20 septembre 2018, 10 heures 30, Amphi Turing (bâtiment Sophie Germain)
Leonid Libkin (University of Edinburgh) Certain Answers Meet Zero-One Laws

The talk will start with presenting a brief overview of querying incomplete information in databases and the main computational challenges it presents. Querying incomplete data invariably relies on the very coarse classification of query answers into those that are certain and those that are not. Such a classification is often very costly, and we propose to refine it by measuring how close an answer is to certainty.

This measure is defined as the probability that the query is true under a random interpretation of missing information in a database. Since there are infinitely many such interpretations, to pick one at random we adopt the approach used in the study of asymptotic properties and 0-1 laws for logical sentences and define the measure as the limit of a sequence. We show that in the standard model of missing data, the 0-1 law is observed: this limit always exists and can be only 0 or 1 for a very large class of queries. Thus, query answers are either almost certainly true, or almost certainly false, and this classification behaves very well computationally. When databases satisfy constraints, the measure is defined as the conditional probability of the query being true if the constraints are true. This can now be an arbitrary rational number, which is always computable. Another refinement of the notion of certainty views answers with a larger set of interpretations that make them true as better ones. We pinpoint the exact complexity of finding best answers for first-order queries.

Exposés hors-séries
Jeudi 5 juillet 2018, 14 heures, Salle 3052
Laurent Viennot (Inria Paris et IRIF) Introduction to the blockchain

The collaborative construction of a blockchain is the core of Bitcoin protocol for allowing various participants to agree on a list of valid transactions. The talk will be very informal, the intent is to give a very basic introduction on how Bitcoin works and highlight some of the scientific challenges behind it.

Exposés hors-séries
Mardi 20 février 2018, 14 heures, 3052
Daniela Petrisan (IRIF) Up-To Techniques for Behavioural Metrics via Fibrations

Up-to techniques are a well-known method for accelerating proofs of
behavioural equivalences between systems. In this talk, I 
introduce up-to techniques for behavioural metrics in a coalgebraic
setting and provide general results that show under which conditions
such up-to techniques are sound.
For a system modelled as a coalgebra for a certain functor, the
behavioural distance can be seen as a coinductive predicate using a
suitable lifting of the functor. I will focus on the so called
Wasserstein lifting of a functor for which we provide a new
characterization in a fibrational setting. This is useful for
automatically proving the soundness of up-to techniques via a
generic framework developed in a previous CSL-LICS'14 paper.
I will use  fibrations of predicates and relations valued in a
quantale, for which pseudo-metric spaces are an example. To
illustrate our framework I provide an example on distances between
regular languages.

Exposés hors-séries
Jeudi 1 février 2018, 14 heures, 3052
Vincent Danos (ENS) Contractivity of Markov chains (metric couplings)

The module is a continuation of the lecture series by Prakash Panangaden on Labelled Markov Processes, but can be independently followed.

Exposés hors-séries
Mardi 30 janvier 2018, 14 heures, 3052
Vincent Danos (ENS) Bayesian inversion​ and approximation

The module is a continuation of the lecture series by Prakash Panangaden on Labelled Markov Processes, but can be independently followed.

Exposés hors-séries
Jeudi 25 janvier 2018, 14 heures, 3052
Prakash Panangaden (McGill University) Quantitative equational logic and free Kantorovich algebras

Prakash will open his stay with a series of 4 introductory lectures on probabilistic systems: “Introduction to Labelled Markov Processes”

Exposés hors-séries
Mardi 23 janvier 2018, 14 heures, 3052
Prakash Panangaden (McGill University) Metrics for LMPs

Prakash will open his stay with a series of 4 introductory lectures on probabilistic systems: “Introduction to Labelled Markov Processes”

Exposés hors-séries
Jeudi 18 janvier 2018, 14 heures, 3052
Prakash Panangaden (McGill University) A dual point of view: LMPs as function transformers

Prakash will open his stay with a series of 4 introductory lectures on probabilistic systems: “Introduction to Labelled Markov Processes”

Exposés hors-séries
Mardi 16 janvier 2018, 14 heures, 3052
Prakash Panangaden (McGill University) Introduction to LMPs: bisimulation, simulation, logical characterization

Prakash will open his stay with a series of 4 introductory lectures on probabilistic systems: “Introduction to Labelled Markov Processes”