Satisfiability Modulo Theories
Non-Clausal Satisfiability Modulo Theories
... This chapter presents the foundations of the DPLL algorithm for SAT, and its adap- tation to the problem of satisfiability modulo theories, DPLL(T ). Both these applica- tions have a record of ...
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Encoding The Lexicographic Ordering Constraint in Satisfiability Modulo Theories
... Boolean Satisfiability Problem, in which the problem is translated to a group of Boolean .... Satisfiability Modulo Theories (SMT ) has been introduced to overcome this limitation [4] [21], ...
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All-Solution Satisfiability Modulo Theories: applications, algorithms and benchmarks
... Mile End Road, London E1 4NS, United Kingdom Email: {q.phan, p.malacaria}@qmul.ac.uk Abstract—Satisfiability Modulo Theories (SMT) is a decision problem for logical formulas over one or more ...
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Fuzzy Logic Controller Stability Analysis Using a Satisfiability Modulo Theories Approach
... As opposed to the indirect method proposed by Clark et al 3 , in this study a direct method was used with a prescribed nonlinear candidate function. A Satisfiability Modulo Theories (SMT) solver, Z3, ...
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CiteSeerX — Satisfiability Modulo Theories
... empiri
ally. While this is our long term goal, we have started with a less ambi- tious, although no less interesting, task: showing that our satis ability modulo theories approa
h an be e e
tive even in the ...
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Lazy Satisfiability Modulo Theories
... On the other hand, decision procedures for much more expressive decidable logics have been conceived and implemented in different communities, like, e.g., automated the- orem proving, operational research, knowledge ...
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CiteSeerX — Proofs in Satisfiability Modulo Theories
... 10 Conclusions Building a proof-producing SMT solver appears easy on the surface: the underly- ing SAT solver generates Boolean resolution proofs, and, as long as the theories in the combination also produce ...
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On Sets with Cardinality Constraints in Satisfiability Modulo Theories
... the satisfiability of QFBAPA formulas has been shown to be NP-complete using an eager reduction to quantifier-free Presburger arithmetic that exploits a sparse-solution ...other theories that Z3 supports ...
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A prototype implementation of a distributed Satisfiability Modulo Theories solver in the ToolBus framework
... The distributed algorithm has been prototyped by re- organizing the architecture of the sequential version of haRVey into three modules whose execution is concur- rent: ‘Interface,’ ‘Boolean reasoning,’ and ‘Theory rea- ...
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Delayed theory combination vs. Nelson-Oppen for satisfiability modulo theories: a comparative analysis
... T i -solver performs any e ij -deduction from μ, then T -DPLL stops returning sat. 14 In order to achieve efficiency, other heuristics and strategies have been further suggested in [9, 10], and more recently in [15, 19]. ...
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Symbolic Execution as DPLL Modulo Theories
... We show how Symbolic Execution can be understood as a variant of the DPLL(T ) algorithm, which is the dominant technique for the Satisfiability Modulo Theories (SMT) problem. In other words, Symbolic ...
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CiteSeerX — Abstract DPLL and Abstract DPLL Modulo Theories
... 3. If ∅ || F =⇒ ∗ NEdpll (T ) M || F 0 , where M || F 0 is a final state wrt Basic DPLL and Lazy Theory Learning, then M is a T -model of F . 4 Conclusions We have presented a declarative formal framework for modeling ...
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Functional stable model semantics and answer set programming modulo theories
... Programming Modulo Theories (ASPMT)” —a tight integration of answer set pro- gramming and satisfiability modulo theories, un- der which existing integration approaches can be viewed as ...
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Subtropical Satisfiability
... Abstract. Quantifier-free nonlinear arithmetic (QF_NRA) appears in many applications of satisfiability modulo theories solving (SMT). Ac- cordingly, efficient reasoning for corresponding constraints ...
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Optimization Modulo Theories with OptiMathSAT
... than satisfiability, that can require enumerating multiple suboptimal solutions along the search and also certifying the absence of an improving solution at the end of the optimization ...Optimization ...
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Function Summarization Modulo Theories
... SMT-based program verification can achieve high precision using bit-precise models or combinations of different theories. Often such approaches suffer from problems related to scalability due to the complexity of ...
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On Symbolic Heaps Modulo Permission Theories
... [3] modulo an unspecified permission theory (containing separation logic without permission as an ...procedures modulo a permission theory P for the satisfiability problem SATSH(P), and for the ...
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Model-Based Diagnosis of Hybrid Systems Using Satisfiability Modulo Theory
... Currently, detecting and isolating faults in hybrid systems is often done manually with the help of human operators. In this paper we present a novel model-based diagnosis approach for automatically diagnosing hybrid ...
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Optimization Modulo Theories with Linear Rational Costs
... stably-infinite theories is sufficient to guarantee enough values in the domain to allow the satisfiability of every possible set of disequalities one may ...
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Alternating Automata Modulo First Order Theories
... As an immediate consequence, one can decide whether A accepts some word w with a given input sequence w Σ = α, by checking whether Υ(α) is satisfiable. However, unlike non-alternating infinite-state models of ...
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