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Optimization Modulo Theories (OMT) is an extension of SMT which allows for finding models that optimize given objectives. (Partial weighted) MaxSMT --or equivalently OMT with Pseudo-Boolean objective functions, OMT+PB-- is a very-relevant…

Logic in Computer Science · Computer Science 2017-02-09 Roberto Sebastiani , Patrick Trentin

Optimization Modulo Theories (OMT) has emerged as an important extension of the highly successful Satisfiability Modulo Theories (SMT) paradigm. The OMT problem requires solving an SMT problem with the restriction that the solution must be…

Logic in Computer Science · Computer Science 2024-04-30 Nestan Tsiskaridze , Clark Barrett , Cesare Tinelli

Optimization Modulo Theories (OMT) is an extension of SMT that allows for finding models that optimize objective functions. In this paper we aim at bridging the gap between Constraint Programming (CP) and OMT, in both directions. First, we…

Logic in Computer Science · Computer Science 2020-02-18 Francesco Contaldo , Patrick Trentin , Roberto Sebastiani

In the contexts of automated reasoning (AR) and formal verification (FV), important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for…

Logic in Computer Science · Computer Science 2014-10-23 Roberto Sebastiani , Silvia Tomasi

In the last decade we have witnessed an impressive progress in the expressiveness and efficiency of Satisfiability Modulo Theories (SMT) solving techniques. This has brought previously-intractable problems at the reach of state-of-the-art…

Logic in Computer Science · Computer Science 2015-01-19 Roberto Sebastiani , Patrick Trentin

Optimization Modulo Theories (OMT) is an important extension of SMT which allows for finding models that optimize given objective functions, typically consisting in linear-arithmetic or pseudo-Boolean terms. However, many SMT and OMT…

Logic in Computer Science · Computer Science 2019-05-09 Patrick Trentin , Roberto Sebastiani

Many procedures for SAT and SAT-related problems -- in particular for those requiring the complete enumeration of satisfying truth assignments -- rely their efficiency on the detection of partial assignments satisfying an input formula. In…

Logic in Computer Science · Computer Science 2020-03-10 Roberto Sebastiani

In manufacturing, the increasing involvement of autonomous robots in production processes poses new challenges on the production management. In this paper we report on the usage of Optimization Modulo Theories (OMT) to solve certain…

Artificial Intelligence · Computer Science 2017-11-22 Francesco Leofante , Erika Ábrahám , Tim Niemueller , Gerhard Lakemeyer , Armando Tacchella

In the contexts of automated reasoning and formal verification, important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for several theories…

Artificial Intelligence · Computer Science 2012-02-08 Roberto Sebastiani , Silvia Tomasi

All-Solution Satisfiability (AllSAT) and its extension, All-Solution Satisfiability Modulo Theories (AllSMT), have become more relevant in recent years, mainly in formal verification and artificial intelligence applications. The goal of…

Logic in Computer Science · Computer Science 2026-05-11 Giuseppe Spallitta , Roberto Sebastiani , Armin Biere

Satisfiability modulo theory (SMT) consists in testing the satisfiability of first-order formulas over linear integer or real arithmetic, or other theories. In this survey, we explain the combination of propositional satisfiability and…

Logic in Computer Science · Computer Science 2016-06-16 David Monniaux

We study truthful mechanisms for matching and related problems in a partial information setting, where the agents' true utilities are hidden, and the algorithm only has access to ordinal preference information. Our model is motivated by the…

Computer Science and Game Theory · Computer Science 2016-10-20 Elliot Anshelevich , Shreyas Sekar

Satisfiability Modulo Theory (SMT) has recently emerged as a powerful tool for solving various automated reasoning problems across diverse domains. Unlike traditional satisfiability methods confined to Boolean variables, SMT can reason on…

Logic in Computer Science · Computer Science 2025-08-14 Arijit Shaw , Uddalok Sarkar , Kuldeep S. Meel

Goal models have been widely used in Computer Science to represent software requirements, business objectives, and design qualities. Existing goal modelling techniques, however, have shown limitations of expressiveness and/or tractability…

Artificial Intelligence · Computer Science 2016-12-09 Chi Mai Nguyen , Roberto Sebastiani , Paolo Giorgini , John Mylopoulos

Satisfiability Modulo Theories (SMT) solvers are integral to program analysis techniques like concolic and symbolic execution, where they help assess the satisfiability of logical formulae to explore execution paths of the program under…

Software Engineering · Computer Science 2025-04-11 Rustam Sadykov , Azat Abdullin , Marat Akhin

The optimization and machine learning toolkit (OMLT) is an open-source software package incorporating neural network and gradient-boosted tree surrogate models, which have been trained using machine learning, into larger optimization…

The problem of Cloud resource provisioning for component-based applications consists in the allocation of virtual machines (VMs) offers from various Cloud Providers to a set of applications such that the constraints induced by the…

Logic in Computer Science · Computer Science 2020-06-11 Madalina Erascu , Flavia Micota , Daniela Zaharie

#SMT, or model counting for logical theories, is a well-known hard problem that generalizes such tasks as counting the number of satisfying assignments to a Boolean formula and computing the volume of a polytope. In the realm of…

Logic in Computer Science · Computer Science 2015-10-30 Dmitry Chistikov , Rayna Dimitrova , Rupak Majumdar

Recently there has been a surge of interest in optimal decision tree (ODT) methods that globally optimize accuracy directly, in contrast to traditional approaches that locally optimize an impurity or information metric. However, the value…

Machine Learning · Computer Science 2025-04-02 Jacobus G. M. van der Linden , Daniël Vos , Mathijs M. de Weerdt , Sicco Verwer , Emir Demirović

Optimization problems seek to find the best solution to an objective under a set of constraints, and have been widely investigated in real-world applications. Modeling and solving optimization problems in a specific domain typically require…

Optimization and Control · Mathematics 2024-07-12 Jihai Zhang , Wei Wang , Siyan Guo , Li Wang , Fangquan Lin , Cheng Yang , Wotao Yin
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