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We present a novel approach for solving quantified bit-vector formulas in Satisfiability Modulo Theories (SMT) based on computing symbolic inverses of bit-vector operators. We derive conditions that precisely characterize when bit-vector…

Logic in Computer Science · Computer Science 2018-05-15 Aina Niemetz , Mathias Preiner , Andrew Reynolds , Clark Barrett , Cesare Tinelli

There are two kinds of higher-order extensions of model checking: HORS model checking and HFL model checking. Whilst the former has been applied to automated verification of higher-order functional programs, applications of the latter have…

Programming Languages · Computer Science 2018-03-01 Naoki Kobayashi , Takeshi Tsukada , Keiichi Watanabe

We introduce notions of simulation between semiring-weighted automata as models of quantitative systems. Our simulations are instances of the categorical/coalgebraic notions previously studied by Hasuo---hence soundness against language…

Logic in Computer Science · Computer Science 2018-11-19 Natsuki Urabe , Ichiro Hasuo

Running verification tasks in database driven systems requires solving quantifier elimination problems of a new kind. These quantifier elimination problems are related to the notion of a cover introduced in ESOP 2008 by Gulwani and…

Logic in Computer Science · Computer Science 2019-06-18 Diego Calvanese , Silvio Ghilardi , Alessandro Gianola , Marco Montali , Andrey Rivkin

This paper presents a framework for modeling, simulating, and checking properties of critical systems based on the Alloy language -- a declarative, first-order, relational logic with a built-in transitive closure operator. The paper…

Logic in Computer Science · Computer Science 2014-08-05 Aboubakr Achraf El Ghazi , Ulrich Geilmann , Mattias Ulbrich , Mana Taghdiri

We study the logic obtained by endowing the language of first-order arithmetic with second-order measure quantifiers. This new kind of quantification allows us to express that the argument formula is true in a certain portion of all…

Logic in Computer Science · Computer Science 2021-04-27 Melissa Antonelli , Ugo Dal Lago , Paolo Pistone

First-order logic has been established as an important tool for modeling and verifying intricate systems such as distributed protocols and concurrent systems. These systems are parametric in the number of nodes in the network or the number…

Logic in Computer Science · Computer Science 2024-08-21 Raz Lotan , Eden Frenkel , Sharon Shoham

With the rapid progress in quantum hardware and software, the need for verification of quantum systems becomes increasingly crucial. While model checking is a dominant and very successful technique for verifying classical systems, its…

Data Structures and Algorithms · Computer Science 2025-03-07 Xin Hong , Dingchao Gao , Sanjiang Li , Shenggang Ying , Mingsheng Ying

We focus in this paper on generating models of quantified first-order formulas over built-in theories, which is paramount in software verification and bug finding. While standard methods are either geared toward proving the absence of…

Logic in Computer Science · Computer Science 2018-02-16 Benjamin Farinier , Sébastien Bardin , Richard Bonichon , Marie-Laure Potet

Linear differential equations are ubiquitous in science and engineering. Quantum computers can simulate quantum systems, which are described by a restricted type of linear differential equations. Here we extend quantum simulation algorithms…

Quantum Physics · Physics 2014-02-21 Dominic W. Berry

In semi-symbolic (control-explicit data-symbolic) model checking the state-space explosion problem is fought by representing sets of states by first-order formulas over the bit-vector theory. In this model checking approach, most of the…

Programming Languages · Computer Science 2017-11-27 Jan Mrázek , Martin Jonáš , Jiří Barnat

The current verification flow of complex systems uses different engines synergistically: virtual prototyping, formal verification, simulation, emulation and FPGA prototyping. However, none is able to verify a complete architecture.…

Logic in Computer Science · Computer Science 2018-02-12 Tomas Grimm , Djones Lettnin , Michael Hübner

Simulation has become the evaluation method of choice for many areas of distributing computing research. However, most existing simulation packages have several limitations on the size and complexity of the system being modeled. Fine…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-07-01 Dobre Ciprian , Cristea Valentin , Iosif C. Legrand

We present an approach to the verification of systems for whose description some elements - constants or functions - are underspecified and can be regarded as parameters, and, in particular, describe a method for automatically generating…

Logic in Computer Science · Computer Science 2023-10-30 Dennis Peuter , Philipp Marohn , Viorica Sofronie-Stokkermans

Simulation-based inference has been popular for amortized Bayesian computation. It is typical to have more than one posterior approximation, from different inference algorithms, different architectures, or simply the randomness of…

Methodology · Statistics 2024-03-04 Yuling Yao , Bruno Régaldo-Saint Blancard , Justin Domke

With the race to build large-scale quantum computers and efforts to exploit quantum algorithms for efficient problem solving in science and engineering disciplines, the requirement to have efficient and scalable verification methods are of…

Quantum Physics · Physics 2023-03-14 Arun Govindankutty , Sudarshan K. Srinivasan , Nimish Mathure

SMT solvers have been used successfully as reasoning engines for automated verification and other applications based on automated reasoning. Current techniques for dealing with quantified formulas in SMT are generally incomplete, forcing…

Logic in Computer Science · Computer Science 2017-06-02 Andrew Reynolds , Cesare Tinelli , Clark Barrett

In this contribution we revisit regular model checking, a powerful framework that has been successfully applied for the verification of infinite-state systems, especially parameterized systems (concurrent systems with an arbitrary number of…

Logic in Computer Science · Computer Science 2021-11-23 Anthony W. Lin , Philipp Rümmer

In this paper, we study the problem of generating inputs to a higher-order program causing it to error. We first study the problem in the setting of PCF, a typed, core functional language and contribute the first relatively complete method…

Programming Languages · Computer Science 2015-04-22 Phuc C. Nguyen , David Van Horn

In engineering, it is a common desire to couple existing simulation tools together into one big system by passing information from subsystems as parameters into the subsystems under influence. As executed at fixed time points, this data…

Numerical Analysis · Mathematics 2017-04-25 Thilo Moshagen