Publications related to True quantified Boolean formula

On Semi-Algebraic Proofs and Algorithms

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

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

Learning from survey propagation: a neural network for MAX-E-3-SAT

Raffaele Marino

Many natural optimization problems are NP-hard, which implies that they are probably hard to solve exactly in the worst-case. However, it suffices to get reasonably good solutions for all (or even most) instances in practice. This paper presents a new algo ...

IOP PUBLISHING LTD2021

Boolean satisfiability in quantum compilation

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

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, Zhufei Chu

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

SAT-Based Exact Synthesis for Multi-Level Logic Networks

Winston Jason Haaswijk

Today, the design of electronic systems is largely automated. The practice of using software automation technologies for the design of electronic hardware is commonly referred to as Electronic Design Automation (EDA). EDA comprises a large set of tools, fr ...

EPFL2019

Exact Synthesis of LTL Properties from Traces

Heinz Riener

We present an exact approach to synthesize temporal-logic formulas in linear temporal logic (LTL) from a set of given positive and negative example traces. Our approach uses topology structures, in particular partial DAGs, to partition the search space int ...

IEEE2019

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

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

Majority Logic Synthesis

Giovanni De Micheli, Mathias Soeken, Luca Gaetano Amarù, Eleonora Testa, Odysseas Zografos

The majority function (xyz) evaluates to true, if at least two of its Boolean inputs evaluate to true. The majority function has frequently been studied as a central primitive in logic synthesis applications for many decades. Knuth refers to the majority f ...

ASSOC COMPUTING MACHINERY2018

Busy Man’s Synthesis: Combinational Delay Optimization With SAT

Giovanni De Micheli, Mathias Soeken

Boolean SAT solving can be used to find a minimum- size logic network for a given small Boolean function. This paper extends the SAT formulation to find a minimum-size network under delay constraints. Delay constraints are given in terms of input arrival t ...

Ieee2017

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

Solving quantified linear arithmetic by counterexample-guided instantiation

Viktor Kuncak, Andrew Joseph Reynolds

This paper presents a framework to derive instantiation-based decision procedures for satisfiability of quantified formulas in first-order theories, including its correctness, implementation, and evaluation. Using this framework we derive decision procedur ...

2017

Optimizing Majority-Inverter Graphs with Functional Hashing

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

A Sound and Complete Axiomatization of Majority-n Logic

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

Manipulating logic functions via majority operators recently drew the attention of researchers in computer science. For example, circuit optimization based on majority operators enables superior results as compared to traditional logic systems. Also, the B ...

Institute of Electrical and Electronics Engineers2016

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

Induction for SMT Solvers

Viktor Kuncak, Andrew Joseph Reynolds

Satisfiability modulo theory solvers are increasingly being used to solve quantified formulas over structures such as integers and term algebras. Quantifier instantiation combined with ground decision procedure alone is insufficient to prove many formulas ...

Springer-Verlag2015

FudgeFactor: Syntax-Guided Synthesis for Accurate RTL Error Localization and Correction

Paolo Ienne, Barbara Jobstmann, David Novo Bruna, Andrew James Becker, Mohsen A A Ewaida

Functional verification occupies a significant amount of the digital circuit design cycle. In this paper, we present a novel approach to improve circuit debugging which not only localizes errors with high confidence, but can also provide semantically-meani ...

Springer2015

CafeSat: a Modern SAT Solver for Scala

Régis William Blanc

We present CafeSat, a SAT solver written in the Scala programming language. CafeSat is a modern solver based on DPLL and featuring many state-of-the-art techniques and heuristics. It uses two-watched literals for Boolean constraint propagation, conflict-dr ...

ACM Press2013