Concept

Logique d'ordre supérieur

Publications associées (17)

LISA – A Modern Proof System

Viktor Kuncak, Simon Guilloud, Sankalp Gambhir

We present LISA, a proof system and proof assistant for constructing proofs in schematic first-order logic and axiomatic set theory. The logical kernel of the system is a proof checker for first-order logic with equality and schematic predicate and fun ...

Dagstuhl, Germany, Schloss Dagstuhl - Leibniz-Zentrum fur Informatik2023

Decision Procedures for Power Structures

Rodrigo Raya

We study the decision problem for the existential fragment of the theory of power structures. We prove complexity results that parallel the decidability results of Feferman-Vaught for the theories of product structures thereby showing that the construction ...

EPFL2023

Scaling Language Features for Program Verification

Georg Stefan Schmid

Formal verification of real-world software systems remains challenging for a number of reasons, including lack of automation, friction in specifying properties, and limited support for the diverse programming paradigms used in industry. In this thesis we m ...

EPFL2022

A template for constructing Bayesian networks in forensic biology cases when considering activity level propositions

Christophe Champod, Alex Biedermann

The hierarchy of propositions has been accepted amongst the forensic science community for some time. It is also accepted that the higher up the hierarchy the propositions are, against which the scientist are competent to evaluate their results, the more d ...

2018

A Polynomial Regularity Lemma For Semialgebraic Hypergraphs And Its Applications In Geometry And Property Testing

János Pach

In this paper, we prove several extremal results for geometrically defined hypergraphs. In particular, we establish an improved lower bound, single exponentially decreasing in k, on the best constant delta > 0 such that the vertex classes P-1,...,P-k of ev ...

Society for Industrial and Applied Mathematics2016

Ramsey-Type Results For Semi-Algebraic Relations

János Pach

A k-ary semi-algebraic relation E on R-d is a subset of R-kd, the set of k-tuples of points in R-d, which is determined by a finite number of polynomial inequalities in kd real variables. The description complexity of such a relation is at most t if d, k < ...

Amer Mathematical Soc2014

Dispersion operators and resistant second-order functional data analysis

Victor Panaretos, David Kraus

Inferences related to the second-order properties of functional data, as expressed by covariance structure, can become unreliable when the data are non-Gaussian or contain unusual observations. In the functional setting, it is often difficult to identify a ...

Oxford University Press2012

Order Types of Convex Bodies

We prove a Hadwiger transversal-type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the order type of a family of convex bodies, generalizing the usual definition of ord ...

2011

Do Firms Know the Scope of their R&D Network? An Empirical Investigation of the Determinants of Network Awareness on French Survey Data

Stéphane Lhuillery

Although research and development (R&D) networks influence the innovation performance of their members, firms may not be fully aware of the scope of their network. In particular, due to cost reasons, they may not be fully informed of their “indirect ties”, ...

Taylor & Francis2011

Structured Derivation of Semi-Synchronous Algorithms

André Schiper, Martin Hutle, Zarko Milosevic, Fatemeh Borran, Hagit Albo Attiya

The semi-synchronous model is an important middle ground between the synchronous and the asynchronous models of distributed computing. In this model, processes can detect (timeout) when other processes fail. However, since detection is done by timing out, ...

2011

Building a Calculus of Data Structures

Viktor Kuncak, Philippe Paul Henri Suter, Ruzica Piskac

Techniques such as verification condition generation, predicate abstraction, and expressive type systems reduce software verification to proving formulas in expressive logics. Programs and their specifications often make use of data structures such as sets ...

Springer2010

Ordered Sets in the Calculus of Data Structures

Viktor Kuncak, Philippe Paul Henri Suter, Ruzica Piskac

Our goal is to identify families of relations that are useful for reasoning about software. We describe such families using decidable quantifier-free classes of logical constraints with a rich set of operations. A key challenge is to define such classes of ...

Springer2010

Combining Theories with Shared Set Operations

Viktor Kuncak, Ruzica Piskac

Motivated by applications in software verification, we explore automated reasoning about the non-disjoint combination of theories of infinitely many finite structures, where the theories share set variables and set operations. We prove a combination theore ...

Springer2009

Opis: Reliable Distributed Systems in OCaml

Dejan Kostic, Viktor Kuncak, Pierre-Evariste Dagand

Concurrency and distribution pose algorithmic and implementation challenges in developing reliable distributed systems, making the field an excellent testbed for evaluating programming language and verification paradigms. Several specialized domain-specifi ...

2009

Opis: Reliable Distributed Systems in OCaml

Viktor Kuncak, Dejan Kostic, Pierre-Evariste Dagand

2009

Full Functional Verification of Linked Data Structures

Viktor Kuncak

We present the first verification of full functional correctness for a range of linked data structure implementations, including mutable lists, trees, graphs, and hash tables. Specifically, we present the use of the Jahob verification system to verify form ...

2008

Isolation-only Transactions by Typing and Versioning

In this paper we design a language and runtime support for isolation-only, multithreaded transactions (called tasks). Tasks allow isolation to be declared instead of having to be encoded using the low-level synchronization constructs. The key concept of ou ...

2005