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Satisfiability Modulo Theory (SMT) solvers are foundational to modern systems and programming languages research, providing the foundation for tasks like symbolic execution and automated verification. Because these solvers sit on the…

Software Engineering · Computer Science 2026-04-09 Maolin Sun , Yibiao Yang , Yuming Zhou

Answer Set Programming Modulo Theories (ASPMT) is a new framework of tight integration of answer set programming (ASP) and satisfiability modulo theories (SMT). Similar to the relationship between first-order logic and SMT, it is based on a…

Artificial Intelligence · Computer Science 2025-07-08 Joohyung Lee , Yunsong Meng

Modern Large Language Model (LLM)-based programming agents often rely on test execution feedback to refine their generated code. These tests are synthetically generated by LLMs. However, LLMs may produce invalid or hallucinated test cases,…

Software Engineering · Computer Science 2026-02-27 Hamed Taherkhani , Jiho Shin , Muhammad Ammar Tahir , Md Rakib Hossain Misu , Vineet Sunil Gattani , Hadi Hemmati

Individual clinical Knowledge Artifacts (KA) are designed to be used in Clinical Decision Support (CDS) systems at the point of care for delivery of safe, evidence-based care in modern healthcare systems. For formal authoring of a KA,…

Software Engineering · Computer Science 2019-03-06 Mohammad Hekmatnejad , Andrew M. Simms , Georgios Fainekos

Large Language Models (LLMs) are increasingly integrated into the software engineering ecosystem. Their test-time compute (TTC) reasoning capabilities show significant potential for understanding program logic and semantics beyond mere…

Computation and Language · Computer Science 2025-10-22 Yifeng He , Luning Yang , Christopher Castro Gaw Gonzalo , Hao Chen

We present new methods for solving the Satisfiability Modulo Theories problem over the theory of Quantifier-Free Non-linear Integer Arithmetic, SMT(QF-NIA), which consists in deciding the satisfiability of ground formulas with integer…

Logic in Computer Science · Computer Science 2020-09-01 Cristina Borralleras , Daniel Larraz , Albert Oliveras , Enric Rodriguez-Carbonell , Albert Rubio

We give an overview of recent techniques for implementing syntax-guided synthesis (SyGuS) algorithms in the core of Satisfiability Modulo Theories (SMT) solvers. We define several classes of synthesis conjectures and corresponding…

Logic in Computer Science · Computer Science 2017-11-30 Andrew Reynolds , Cesare Tinelli

This paper advocates for the broader application of SMT solvers in everyday programming, challenging the conventional wisdom that these tools are solely for formal methods and verification. We claim that SMT solvers, when seamlessly…

Programming Languages · Computer Science 2025-09-19 Facundo Domínguez , Arnaud Spiwack

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

A logic for specification and verification is derived from the axioms of Zermelo-Fraenkel set theory. The proofs are performed using the proof assistant Isabelle. Isabelle is generic, supporting several different logics. Isabelle has the…

Logic in Computer Science · Computer Science 2008-02-03 Lawrence C. Paulson

Program analysis and verification require decision procedures to reason on theories of data structures. Many problems can be reduced to the satisfiability of sets of ground literals in theory T. If a sound and complete inference system for…

Artificial Intelligence · Computer Science 2015-02-11 Alessandro Armando , Maria Paola Bonacina , Silvio Ranise , Stephan Schulz

Satisfiability checking for Linear Temporal Logic (LTL) is a fundamental step in checking for possible errors in LTL assertions. Extant LTL satisfiability checkers use a variety of different search procedures. With the sole exception of LTL…

Logic in Computer Science · Computer Science 2014-04-30 Jianwen Li , Geguang Pu , Lijun Zhang , Moshe Y. Vardi , Jifeng He

We discuss some highlights of our computer-verified proof of the construction, given a countable transitive set-model $M$ of $\mathit{ZFC}$, of generic extensions satisfying $\mathit{ZFC}+\neg\mathit{CH}$ and $\mathit{ZFC}+\mathit{CH}$.…

We present a new technique called type targeted testing, which translates precise refinement types into comprehensive test-suites. The key insight behind our approach is that through the lens of SMT solvers, refinement types can also be…

Programming Languages · Computer Science 2017-08-29 Eric L. Seidel , Niki Vazou , Ranjit Jhala

Techniques for the efficient successive under-approximation of the greatest fixpoint in TCTL formulas can be useful in fast refutation of inevitability properties and vacuity checking. We first give an integrated algorithmic framework for…

Software Engineering · Computer Science 2007-05-23 Farn Wang

In this work we develop a fully automatic verification procedure of safety properties of Scade programs. We transform each such program into an SMT instance (Satisfiability Modulo Theories) and feed this to a solver. The goal is to have a…

Logic in Computer Science · Computer Science 2014-03-13 Henning Basold

This preprint specifies supplementary material and the results of a comparative, syntactic, and semantic study of terms for three software testing glossaries. The three software testing glossaries are: the ISO 29119-1, Concepts and…

Software Engineering · Computer Science 2022-05-24 Luis Olsina , Philip Lew , Guido Tebes

String constraint solving, and the underlying theory of word equations, are highly interesting research topics both for practitioners and theoreticians working in the wide area of satisfiability modulo theories. As string constraint solving…

Logic in Computer Science · Computer Science 2022-08-19 Joel D. Day , Adrian Kröger , Mitja Kulczynski , Florin Manea , Dirk Nowotka , Danny Bøgsted Poulsen

In 2012 the Specialists Task Force (STF) 442 appointed by the European Telcommunication Standards Institute (ETSI) explored the possibilities of using Model Based Testing (MBT) for test development in standardization. STF 442 performed two…

Software Engineering · Computer Science 2013-03-06 Jens Grabowski , Victor Kuliamin , Alain-Georges Vouffo Feudjio , Antal Wu-Hen-Chang , Milan Zoric

Techniques for the efficient successive under-approximation of the greatest fixpoint in TCTL formulas can be useful in fast refutation of inevitability properties and vacuity checking. We first give an integrated algorithmic framework for…

Software Engineering · Computer Science 2007-05-23 Farn Wang