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Verification of higher-order probabilistic programs is a challenging problem. We present a verification method that supports several quantitative properties of higher-order probabilistic programs. Usually, extending verification methods to…

Logic in Computer Science · Computer Science 2024-07-04 Satoshi Kura , Hiroshi Unno

Crary and Sullivan's Relaxed Memory Calculus (RMC) proposed a new declarative approach for writing low-level shared memory concurrent programs in the presence of modern relaxed-memory multi-processor architectures and optimizing compilers.…

Programming Languages · Computer Science 2019-04-12 Michael J. Sullivan , Karl Crary , Salil Joshi

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

We present Ultimate TreeAutomizer, a solver for satisfiability of sets of constrained Horn clauses. Constrained Horn clauses (CHC) are a fragment of first order logic with attractive properties in terms of expressiveness and accessibility…

Logic in Computer Science · Computer Science 2019-07-10 Daniel Dietsch , Matthias Heizmann , Jochen Hoenicke , Alexander Nutz , Andreas Podelski

We investigate the decidability of automatic program verification for programs that manipulate heaps, and in particular, decision procedures for proving memory safety for them. We extend recent work that identified a decidable subclass of…

Programming Languages · Computer Science 2020-01-01 Umang Mathur , Adithya Murali , Paul Krogmeier , P. Madhusudan , Mahesh Viswanathan

Synchronous systems provide a basic model of embedded systems and industrial systems are modeled as Simulink diagrams and/or Lustre programs. Although the test generation problem is critical in the development of safe systems, it often…

Software Engineering · Computer Science 2021-12-13 Daisuke Ishii , Takashi Tomita , Kenji Onishi , Toshiaki Aoki

We propose a general framework to allow: (a) specifying the operational semantics of a programming language; and (b) stating and proving properties about program correctness. Our framework is based on a many-sorted system of hybrid modal…

Logic in Computer Science · Computer Science 2025-12-01 Ioana Leustean , Natalia Moanga , Traian Florin Serbanuta

Despite the recent advance of automated program verification, reasoning about recursive data structures remains as a challenge for verification tools and their backends such as SMT and CHC solvers. To address the challenge, we introduce the…

Logic in Computer Science · Computer Science 2021-08-24 Takumi Shimoda , Naoki Kobayashi , Ken Sakayori , Ryosuke Sato

We argue that verification of recursive programs by means of the assertional method of C.A.R. Hoare can be conceptually simplified using a modular reasoning. In this approach some properties of the program are established first and…

Logic in Computer Science · Computer Science 2009-07-27 Krzysztof R. Apt , Frank S. de Boer , Ernst-Rüdiger Olderog

Designing control policies for large, distributed systems is challenging, especially in the context of critical, temporal logic based specifications (e.g., safety) that must be met with high probability. Compositional methods for such…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Krishna C. Kalagarla , Matthew Low , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

We present an automated compositional program verification technique for safety properties based on conditional inductive invariants. For a given program part (e.g., a single loop) and a postcondition $\varphi$, we show how to, using a…

Logic in Computer Science · Computer Science 2015-08-05 Marc Brockschmidt , Daniel Larraz , Albert Oliveras , Enric Rodriguez-Carbonell , Albert Rubio

Applications like program synthesis sometimes require proving that a property holds for all of the infinitely many programs described by a grammar - i.e., an inductively defined set of programs. Current verification frameworks…

Programming Languages · Computer Science 2025-07-29 Jinwoo Kim , Shaan Nagy , Thomas Reps , Loris D'Antoni

This paper develops an assume-guarantee (AG) framework for the compositional verification of probabilistic automata (PAs) with uncertain transition probabilities. We study parametric probabilistic automata (pPAs), where probabilities are…

Logic in Computer Science · Computer Science 2026-04-01 Hannah Mertens , Tim Quatmann , Joost-Pieter Katoen

Reinforcement learning has shown promising results in learning neural network policies for complicated control tasks. However, the lack of formal guarantees about the behavior of such policies remains an impediment to their deployment. We…

Machine Learning · Computer Science 2023-12-05 Đorđe Žikelić , Mathias Lechner , Abhinav Verma , Krishnendu Chatterjee , Thomas A. Henzinger

Given the advances in reactive synthesis, it is a natural next step to consider more complex multi-process systems. Distributed synthesis, however, is not yet scalable. Compositional approaches can be a game changer. Here, the challenge is…

Logic in Computer Science · Computer Science 2022-08-15 Bernd Finkbeiner , Noemi Passing

Despite decades of research, there are still a number of concepts commonly found in software programs that are considered challenging for verification: among others, such concepts include concurrency, and the compositional analysis of…

Logic in Computer Science · Computer Science 2013-02-19 Philipp Rümmer , Hossein Hojjat , Viktor Kuncak

The CLP scheme uses Horn clauses and SLD resolution to generate multiple constraint satisfaction problems (CSPs). The possible CSPs include rational trees (giving Prolog) and numerical algorithms for solving linear equations and linear…

Programming Languages · Computer Science 2010-02-09 M. H. van Emden

Full verification of learning-enabled cyber-physical systems (CPS) has long been intractable due to challenges including black-box components and complex real-world environments. Existing tools either provide formal guarantees for limited…

Logic in Computer Science · Computer Science 2025-11-05 Eric Vin , Kyle A. Miller , Inigo Incer , Sanjit A. Seshia , Daniel J. Fremont

We present Hindley-Milner-Cousots (HMC), an algorithm that allows any interprocedural analysis for first-order imperative programs to be used to verify safety properties of typed higher-order functional programs. HMC works as follows.…

Programming Languages · Computer Science 2011-01-04 Ranjit Jhala , Rupak Majumdar , Andrey Rybalchenko

We present a lightweight approach to Hoare-style specifications for fine-grained concurrency, based on a notion of time-stamped histories that abstractly capture atomic changes in the program state. Our key observation is that histories…

Logic in Computer Science · Computer Science 2014-10-02 Ilya Sergey , Aleksandar Nanevski , Anindya Banerjee
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