Publications associées à Règle de résolution

Orthologic with Axioms

We study the proof theory and algorithms for orthologic, a logical system based on ortholattices, which have shown practical relevance in simplification and normalization of verification conditions. Ortholattices weaken Boolean algebras while having polyno ...

Association for Computing Machinery2024

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

On Semi-Algebraic Proofs and Algorithms

Mika Tapani Göös

We give a new characterization of the Sherali-Adams proof system, showing that there is a degree-d Sherali-Adams refutation of an unsatisfiable CNF formula C if and only if there is an ε > 0 and a degree-d conical junta J such that viol_C(x) - ε = J, where ...

Schloss Dagstuhl - Leibniz-Zentrum für Informatik2022

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

Systematic inference and comparison of multi-scale chromatin sub-compartments connects spatial organization to cell phenotypes

Elisa Oricchio, Stephanie Jocelyne Sungalee, Daniele Tavernari, Giovanni Ciriello, Marco Mina

Chromatin compartmentalization reflects biological activity. However, inference of chromatin sub-compartments and compartment domains from chromosome conformation capture (Hi-C) experiments is limited by data resolution. As a result, these have been charac ...

Nature Research2021

Automating cutting planes is NP-hard

Mika Tapani Göös

We show that Cutting Planes (CP) proofs are hard to find: Given an unsatisfiable formula F, It is -hard to find a CP refutation of F in time polynomial in the length of the shortest such refutation; and unless Gap-Hitting-Set admits a nontrivial algorithm, ...

ACM2021

Preserving Self-Duality During Logic Synthesis for Emerging Reconfigurable Nanotechnologies

Giovanni De Micheli, Heinz Riener, Shubham Rai, Akash Kumar

Emerging reconfigurable nanotechnologies allow the implementation of self-dual functions with a fewer number of transistors as compared to traditional CMOS technologies. To achieve better area results for Reconfigurable Field-Effect Transistors (RFET)-base ...

IEEE2021

Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure

Fabio Nobile, Francesca Bonizzoni, Davide Pradovera

In this work, we consider the approximation of Hilbert space-valued meromorphic functions that arise as solution maps of parametric PDEs whose operator is the shift of an operator with normal and compact resolvent, e.g., the Helmholtz equation. In this res ...

2020

Structural Rewriting in XOR-Majority Graphs

Giovanni De Micheli, Mathias Soeken, Zhufei Chu

In this paper, we present a structural rewriting method for a recently proposed XOR-Majority graph (XMG), which has exclusive-OR (XOR), majority-of-three (MAJ), and inverters as primitives. XMGs are an extension of Majority-Inverter Graphs (MIGs). Previous ...

ASSOC COMPUTING MACHINERY2019

Refutation-based synthesis in SMT

Viktor Kuncak, Andrew Joseph Reynolds

We introduce the first program synthesis engine implemented inside an SMT solver. We present an approach that extracts solution functions from unsatisfiability proofs of the negated form of synthesis conjectures. We also discuss novel counterexample-guided ...

SPRINGER2019

Size Optimization of MIGs with an Application to QCA and STMG Technologies

Giovanni De Micheli, Mathias Soeken, Luca Gaetano Amarù, Eleonora Testa, Heinz Riener

Majority-inverter graphs (MIGs) are a logic representation with remarkable algebraic and Boolean properties that enable efficient logic optimizations beyond the capabilities of traditional logic representations. Further, since many nano-emerging technologi ...

ASSOC COMPUTING MACHINERY2018

Nonsilicon, Non-von Neumann Computing—Part I

Giovanni De Micheli

Majority-inverter graphs (MIGs) are a logic representation with remarkable algebraic and Boolean properties that enable efficient logic optimizations beyond the capabilities of traditional logic representations. Further, since many nano-emerging technologi ...

IEE2018

Exact Synthesis of Majority-Inverter Graphs and Its Applications

Giovanni De Micheli, Mathias Soeken, Pierre-Emmanuel Julien Marc Gaillardon, Luca Gaetano Amarù

We propose effective algorithms for exact synthesis of Boolean logic networks using satisfiability modulo theories (SMT) solvers. Since exact synthesis is a difficult problem, it can only be applied efficiently to very small functions, having up to 6 varia ...

Ieee-Inst Electrical Electronics Engineers Inc2017

A Novel Basis for Logic Rewriting

Giovanni De Micheli, Mathias Soeken, Pierre-Emmanuel Julien Marc Gaillardon, Luca Gaetano Amarù, Winston Jason Haaswijk

Given a set of logic primitives and a Boolean function, exact synthesis finds the optimum representation (e.g., depth or size) of the function in terms of the primitives. Due to its high computational complexity, the use of exact synthesis is limite ...

Ieee2017

Counterexample-Guided Quantifier Instantiation for Synthesis in SMT, Computer Aided Verification

Viktor Kuncak, Andrew Joseph Reynolds

We introduce the first program synthesis engine implemented inside an SMT solver. We present an approach that extracts solution functions from unsatisfiability proofs of the negated form of synthesis conjectures. We also discuss novel counterexample-guided ...

2015

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

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

Finding Loop Invariants for Programs over Arrays Using a Theorem Prover

Laura Ildiko Kovacs

We present a new method for automatic generation of loop invariants for programs containing arrays. Unlike all previously known methods, our method allows one to generate first-order invariants containing alternations of quantifiers. The method is based on ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2009

Formal semantics for refinement verification of entreprise models

Irina Rychkova

In this dissertation we investigate how Business/IT alignment in enterprise models can be enhanced by using a software engineering stepwise refinement paradigm. To have an IT system that supports an enterprise and meets the enterprise business needs, manag ...

EPFL2008

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