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    Living Reference Work Entry In depth

    Bit-Level Model Checking

    Ensuring that a design conforms to its specification is an indispensable part of the modern design automation flow. Model checking is an automated verification technique for checking whether a given system satisf...

    Alexander Ivrii, Yakir Vizel in Handbook of Computer Architecture

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    Chapter and Conference Paper

    Finding All Minimal Safe Inductive Sets

    Computing minimal (or even just small) certificates is a central problem in automated reasoning and, in particular, in automated formal verification. For unsatisfiable formulas in CNF such certificates take th...

    Ryan Berryhill, Alexander Ivrii in Theory and Applications of Satisfiability … (2018)

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    Article

    Lagrangian isotopy of tori in \({S^2\times S^2}\) and \({{\mathbb{C}}P^2}\)

    We show that, up to Lagrangian isotopy, there is a unique Lagrangian torus inside each of the following uniruled symplectic four-manifolds: the symplectic vector space

    Georgios Dimitroglou Rizell, Elizabeth Goodman in Geometric and Functional Analysis (2016)

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    Article

    On computing minimal independent support and its applications to sampling and counting

    Constrained sampling and counting are two fundamental problems arising in domains ranging from artificial intelligence and security, to hardware and software testing. Recent approaches to approximate solutions...

    Alexander Ivrii, Sharad Malik, Kuldeep S. Meel, Moshe Y. Vardi in Constraints (2016)

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    Chapter and Conference Paper

    Mining Backbone Literals in Incremental SAT

    In incremental SAT solving, information gained from previous similar instances has so far been limited to learned clauses that are still relevant, and heuristic information such as activity weights and scores....

    Alexander Ivrii, Vadim Ryvchin in Theory and Applications of Satisfiability … (2015)

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    Chapter and Conference Paper

    Speeding up MUS Extraction with Preprocessing and Chunking

    In this paper we present several improvements to extraction of a minimal unsatisfiable subformula (MUS) of a Boolean formula. As our first contribution, we describe model rotation on preprocessed formulas and ...

    Valeriy Balabanov, Alexander Ivrii in Theory and Applications of Satisfiability … (2015)

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    Chapter and Conference Paper

    Generating Modulo-2 Linear Invariants for Hardware Model Checking

    We present an algorithm to automatically extract inductive modulo-2 linear invariants from a design. This algorithm makes use of basic linear algebra and is realized on top of an incremental SAT solver. The ex...

    Gadi Aleksandrowicz, Alexander Ivrii in Hardware and Software: Verification and Te… (2014)

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    Chapter and Conference Paper

    Computing Interpolants without Proofs

    We describe an incremental algorithm for computing interpolants for a pair ϕ A , ϕ B of formulas in propositional logic. ...

    Hana Chockler, Alexander Ivrii in Hardware and Software: Verification and Te… (2013)

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    Chapter and Conference Paper

    Perfect Hashing and CNF Encodings of Cardinality Constraints

    We study the problem of encoding cardinality constraints (threshold functions) on Boolean variables into CNF. Specifically, we propose new encodings based on (perfect) hashing that are efficient in terms of th...

    Yael Ben-Haim, Alexander Ivrii in Theory and Applications of Satisfiability … (2012)

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    Chapter and Conference Paper

    On Efficient Computation of Variable MUSes

    In this paper we address the following problem: given an unsatisfiable CNF formula \({\mathcal{F}}\) , find a minimal su...

    Anton Belov, Alexander Ivrii, Arie Matsliah in Theory and Applications of Satisfiability … (2012)

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    Article

    Ruled 4-manifolds and isotopies of symplectic surfaces

    We study symplectic surfaces in ruled symplectic 4-manifolds which are disjoint from a given symplectic section. As a consequence, in any symplectic 4-manifold, two homologous symplectic surfaces which are C ...

    Richard Hind, Alexander Ivrii in Mathematische Zeitschrift (2010)