Concept

Satisfiability modulo theories

Related publications (73)

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The Complexity of Satisfiability Checking for Symbolic Finite Automata

Rodrigo Raya

We study the satisfiability problem of symbolic finite automata and decompose it into the satisfiability problem of the theory of the input characters and the monadic second-order theory of the indices of accepted words. We use our decomposition to obtain ...

2023

The Complexity of Checking Non-Emptiness in Symbolic Tree Automata

Rodrigo Raya

We study the satisfiability problem of symbolic tree automata and decompose it into the satisfiability problem of the existential first-order theory of the input characters and the existential monadic second-order theory of the indices of the accepted word ...

2023

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

On Proving and Disproving Equivalence of Functional Programming Assignments

Viktor Kuncak, Dragana Milovancevic

We present an automated approach for verifying the correctness of programming assignments, such as ones arising in a functional programming course. Our approach takes a small set of reference implementations and a set of student implementations and checks, ...

2021

SAT-Sweeping Enhanced for Logic Synthesis

Giovanni De Micheli, Luca Gaetano Amarù, Eleonora Testa

SAT-sweeping is a powerful method for simplifying logic networks. It consists of merging gates that are proven equivalent (up to complementation) by running simulation and SAT solving in synergy. SAT-sweeping is used in both verification and synthesis appl ...

IEEE2020

SAT-Sweeping Enhanced for Logic Synthesis

Giovanni De Micheli, Luca Gaetano Amarù, Eleonora Testa

IEEE2020

Consolidation of database check constraints

Nikola Obrenovic

Independent modeling of various modules of an information system (IS), and consequently database subschemas, may result in formal or semantic conflicts between the modules being modeled. Such conflicts may cause collisions between the integrated database s ...

2019

Refutation-based synthesis in SMT

Viktor Kuncak, Andrew Joseph Reynolds

We introduce the first program synthesis engine implemented inside an SMT solver. We present an approach that extracts solution functions from unsatisfiability proofs of the negated form of synthesis conjectures. We also discuss novel counterexample-guided ...

SPRINGER2019

Exact Synthesis of ESOP Forms

Giovanni De Micheli, Heinz Riener, Bruno Schmitt Antunes

We present an exact synthesis approach for computing Exclusive-or Sum-of-Products (ESOP) forms with a minimum number of product terms using Boolean satisfiability. Our approach finds one or more ESOP forms for a given Boolean function. The approach can dea ...

Springer2019

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