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Concept

Satisfaisabilité

Publications associées (19)

Orthologic with Axioms

Viktor Kuncak, Simon Guilloud

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

Interpolation and Quantifiers in Ortholattices

Viktor Kuncak, Simon Guilloud, Sankalp Gambhir

We study quantifiers and interpolation properties in ortho- logic, a non-distributive weakening of classical logic that is sound for formula validity with respect to classical logic, yet has a quadratic-time decision procedure. We present a sequent-based p ...

2024

Interpolation and Quantifiers in Ortholattices

Viktor Kuncak, Simon Guilloud, Sankalp Gambhir

We study quantifiers and interpolation properties in orthologic, a non-distributive weakening of classical logic that is sound for formula validity with respect to classical logic, yet has a quadratic-time decision procedure. We present a sequent-based pro ...

Springer International Publishing Ag2024

NP Satisfiability for Arrays as Powers

Viktor Kuncak, Rodrigo Raya

We show that the satisfiability problem for the quantifier-free theory of product structures with the equicardinality relation is inNP. As an application, we extend the combinatory array logic fragmentto handle cardinality constraints. The resulting fragme ...

Springer, Cham2022

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

Boolean satisfiability in quantum compilation

Giovanni De Micheli, Mathias Soeken, Heinz Riener, Bruno Schmitt Antunes, Giulia Meuli, Fereshte Mozafari Ghoraba

Quantum compilation is the task of translating a quantum algorithm implemented in a high-level quantum programming language into a technology-dependent instructions flow for a physical quantum computer. To tackle the large gap between the quantum program a ...

ROYAL SOC2020

Exact Synthesis of Boolean Functions in Majority-of-five Forms

Giovanni De Micheli, Mathias Soeken, Winston Jason Haaswijk

Recent studies show that majority-based logic synthesis is beneficial for both traditional and nanotechnology digital designs. However, most of the existing synthesis algorithms for majority logic generate majority-of-three (M-3) networks. The optimization ...

IEEE2019

Consolidation of database check constraints

Nikola Obrenovic

Independent modeling of various modules of an information system (IS), and consequently database subschemas, may result in formal or semantic conflicts between the modules being modeled. Such conflicts may cause collisions between the integrated database s ...

2019

Canonical Computation without Canonical Representation

Mathias Soeken, Luca Gaetano Amarù, Ana Petkovska

A representation of a Boolean function is canonical if, given a variable order, only one instance of the representation is possible for the function. A computation is canonical if the result depends only on the Boolean function and a variable order, and do ...

IEEE2018

Satisfiability-Based Methods for Digital Circuit Design, Debug, and Optimization

Andrew James Becker

Designing digital circuits well is notoriously difficult. This difficulty stems in part from the very many degrees of freedom inherent in circuit design, typically coupled with the need to satisfy various constraints. In this thesis, we demonstrate how for ...

EPFL2018

Generating Safety Guidance for Medical Injection with Three-Compartment Pharmacokinetics Model

Giovanni De Micheli, Heinz Riener, Francesca Stradolini, Cunxi Yu

Medical cyber-physical systems are a new trend of software controlled physical systems that are increasingly common in medical domains. With rapid developments in medical science and computer technology, safety verification and simulation becomes more chal ...

IEEE2018

Practical Exact Synthesis

Giovanni De Micheli, Mathias Soeken, Luca Gaetano Amarù, Eleonora Testa, Winston Jason Haaswijk

In this paper, we discuss recent advances in exact synthesis, considering both their efficient implementation and various applications in which they can he employed. We emphasize on solving exact synthesis through Boolean satisfiability (SAT) encodings. Di ...

IEEE2018

Exact Synthesis of Majority-Inverter Graphs and Its Applications

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

Optimizing Majority-Inverter Graphs with Functional Hashing

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

A Majority-Inverter Graph (MIG) is a recently introduced logic representation form whose algebraic and Boolean properties allow for efficient logic optimization. In particular, when considering logic depth reduction, MIG algorithms obtained signific ...

IEEE2016

Fast generation of lexicographic satisfiable assignments: enabling canonicity in SAT-based applications

Giovanni De Micheli, Paolo Ienne, Mathias Soeken, Ana Petkovska

Lexicographic Boolean satisfiability (LEXSAT) is a variation of the Boolean satisfiability problem (SAT). Given a variable order, LEXSAT finds a satisfying assignment whose integer value under the given variable order is minimum (maximum) among all satisfi ...

Assoc Computing Machinery2016

Method for speeding up boolean satisfiability

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

A method for transforming a tautology check of an original logic circuit into a contradiction check of the original logic circuit and vice versa comprises interpreting the original logic circuit in terms of AND, OR, MAJ, MIN, XOR, XNOR, INV original logic ...

2016

SATSoT: A Methodology to Map Controllable-Polarity Devices on a Regular Fabric Using SAT

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon

Devices with controllable-polarity, such as Double-Gate Vertically-Stacked Nanowire FETs, have shown promising interests in recent years to implement XOR-based logic functions in an unprecedented compact way. Such a compactness is obtained at the cost of a ...

2013

Sets with Cardinality Constraints in Satisfiability Modulo Theories

Viktor Kuncak, Philippe Paul Henri Suter

Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that can express constraints on sets of elements and their cardinalities. Problems from verification of complex properties of software often contain fragments that belong to quantifier- ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2011

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