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Several paradigms for declarative problem solving start from a specification in a high-level language, which is then transformed to a low-level language, such as SAT or SMT. Often, this transformation includes a "grounding" step to remove…

Logic in Computer Science · Computer Science 2024-08-16 Lucas Van Laer , Simon Vandevelde , Joost Vennekens

In this paper, we extend an available neural network verification technique to support a wider class of piece-wise linear activation functions. Furthermore, we extend the algorithms, which provide in their original form exact respectively…

Machine Learning · Computer Science 2023-11-21 László Antal , Hana Masara , Erika Ábrahám

This paper aims to develop a verification method for procedural programs via a transformation into Logically Constrained Term Rewriting Systems (LCTRSs). To this end, we extend transformation methods based on integer TRSs to handle…

Logic in Computer Science · Computer Science 2025-09-01 Carsten Fuhs , Cynthia Kop , Naoki Nishida

The success of Deep Learning and its potential use in many safety-critical applications has motivated research on formal verification of Neural Network (NN) models. In this context, verification involves proving or disproving that an NN…

Machine Learning · Computer Science 2025-08-27 Rudy Bunel , Jingyue Lu , Ilker Turkaslan , Philip H. S. Torr , Pushmeet Kohli , M. Pawan Kumar

Propositional bounded model checking has been applied successfully to verify embedded software but is limited by the increasing propositional formula size and the loss of structure during the translation. These limitations can be reduced by…

Software Engineering · Computer Science 2009-07-14 Lucas Cordeiro , Bernd Fischer , Joao Marques-Silva

This paper introduces a tool for verifying Python programs, which, using type annotation and front-end processing, can harness the capabilities of a bounded model-checking (BMC) pipeline. It transforms an input program into an abstract…

Software Engineering · Computer Science 2024-07-08 Bruno Farias , Rafael Menezes , Eddie B. de Lima Filho , Youcheng Sun , Lucas C. Cordeiro

Program transformations are widely used in synthesis, optimization, and maintenance of software. Correctness of program transformations depends on preservation of some important properties of the input program. By regarding programs as…

Logic in Computer Science · Computer Science 2012-09-25 Aditya Kanade , Amitabha Sanyal , Uday P. Khedker

The integration of Formal Verification tools with Large Language Models (LLMs) offers a path to scale software verification beyond manual workflows. However, current methods remain unreliable: without a solid theoretical footing, the…

Artificial Intelligence · Computer Science 2025-12-18 PIerre Dantas , Lucas Cordeiro , Youcheng Sun , Waldir Junior

A new technique is proposed for fault-tolerant linear, sesquilinear and bijective (LSB) operations on $M$ integer data streams ($M\geq3$), such as: scaling, additions/subtractions, inner or outer vector products, permutations and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-03 Mohammad Ashraful Anam , Yiannis Andreopoulos

Mechanistic interpretability often identifies circuits inside Transformer models, but explanations of those circuits are usually validated through examples, ablations, and manual reasoning. This leaves a gap between finding a plausible…

Machine Learning · Computer Science 2026-05-26 Neel Somani

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

Optimizing compilers have become a cornerstone for high-performance program generation in research and industry. Optimizations, including those implemented manually by a user and those target-specific and non-target-specific, are used to…

Programming Languages · Computer Science 2026-05-05 Emily Tucker , Louis-Noël Pouchet , Erika Hunhoff , Stephen Neuendorffer , Erwei Wang

Development of energy and performance-efficient embedded software is increasingly relying on application of complex transformations on the critical parts of the source code. Designers applying such nontrivial source code transformations are…

Logic in Computer Science · Computer Science 2011-11-09 K. C. Shashidhar , Maurice Bruynooghe , Francky Catthoor , Gerda Janssens

Loop invariants play a central role in the verification of imperative programs. However, finding these invariants is often a difficult and time-consuming task for the programmer. We have previously shown how program transformation can be…

Logic in Computer Science · Computer Science 2017-08-25 G. W. Hamilton

Program verification is vital for ensuring software reliability, especially in the context of increasingly complex systems. Loop invariants, remaining true before and after each iteration of loops, are crucial for this verification process.…

Programming Languages · Computer Science 2024-06-10 Chang Liu , Xiwei Wu , Yuan Feng , Qinxiang Cao , Junchi Yan

Reasoning about array data structures is a key requirement for many applications in hardware and software verification, especially in combination with machine integers. The Satisfiability Modulo Theories (SMT) theory of extensional arrays…

Logic in Computer Science · Computer Science 2026-05-20 Mathias Preiner , Aina Niemetz , Clark Barrett

Constrained Horn Clauses (CHCs) have conventionally been used as a low-level representation in formal verification. Most existing solvers use a diverse set of specialized techniques, including direct state space traversal or…

Logic in Computer Science · Computer Science 2024-04-24 Márk Somorjai , Mihály Dobos-Kovács , Zsófia Ádám , Levente Bajczi , András Vörös

Runtime verification is an effective automated method for specification-based offline testing and analysis as well as online monitoring of complex systems. The specification language is often a variant of regular expressions or a popular…

Logic in Computer Science · Computer Science 2014-11-11 Ramy Medhat , Yogi Joshi , Borzoo Bonakdarpour , Sebastian Fischmeister

Large language models (LLMs) are increasingly used for program verification, and yet little is known about \emph{how} they reason about program semantics during this process. In this work, we focus on abstract interpretation based-reasoning…

Machine Learning · Computer Science 2025-10-01 Jacqueline L. Mitchell , Brian Hyeongseok Kim , Chenyu Zhou , Chao Wang

In theorem prover or SMT solver based verification, the program to be verified is often given in an intermediate verification language such as Boogie, Why, or CHC. This setting raises new challenges. We investigate a preprocessing step…

Software Engineering · Computer Science 2019-01-08 Daniel Dietsch , Matthias Heizmann , Jochen Hoenicke , Alexander Nutz , Andreas Podelski