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This paper focuses on effective user diagnostics generated during the deductive verification of probabilistic programs. Our key principle is based on providing slices for (1) error reporting, (2) proof simplification, and (3) preserving…

Programming Languages · Computer Science 2025-12-25 Philipp Schröer , Darion Haase , Joost-Pieter Katoen

OCaml is particularly well-fitted for formal verification. On one hand, it is a multi-paradigm language with a well-defined semantics, allowing one to write clean, concise, type-safe, and efficient code. On the other hand, it is a language…

Logic in Computer Science · Computer Science 2021-09-07 Mário Pereira , António Ravara

The Credal semantics is a probabilistic extension of the answer set semantics which can be applied to programs that may or may not be stratified. It assigns to atoms a set of acceptable probability distributions characterised by its lower…

Logic in Computer Science · Computer Science 2021-05-25 David Tuckey , Alessandra Russo , Krysia Broda

The HaliVer tool integrates deductive verification into the popular scheduling language Halide, used for image processing pipelines and array computations. HaliVer uses Vercors, a separation logic-based verifier, to verify the correctness…

Logic in Computer Science · Computer Science 2024-01-22 Lars B. van den Haak , Anton Wijs , Marieke Huisman , Mark van den Brand

We lay out novel foundations for the computer-aided verification of guaranteed bounds on expected outcomes of imperative probabilistic programs featuring (i) general loops, (ii) continuous distributions, and (iii) conditioning. To handle…

Logic in Computer Science · Computer Science 2025-02-27 Kevin Batz , Joost-Pieter Katoen , Francesca Randone , Tobias Winkler

We present CAISAR, an open-source platform under active development for the characterization of AI systems' robustness and safety. CAISAR provides a unified entry point for defining verification problems by using WhyML, the mature and…

Artificial Intelligence · Computer Science 2022-06-22 Julien Girard-Satabin , Michele Alberti , François Bobot , Zakaria Chihani , Augustin Lemesle

CairoZero is a programming language for running decentralized applications (dApps) at scale. Programs written in the CairoZero language are compiled to machine code for the Cairo CPU architecture and cryptographic protocols are used to…

Cryptography and Security · Computer Science 2025-01-28 Jeremy Avigad , Lior Goldberg , David Levit , Yoav Seginer , Alon Titelman

As large language models (LLMs) transition from research prototypes to production systems, practitioners often need reliable methods to verify model outputs and characterize tail risk for safe deployment. While sampling-based estimates…

Artificial Intelligence · Computer Science 2026-05-11 Tarun Suresh , Nalin Wadhwa , Debangshu Banerjee , Gagandeep Singh

Probabilistic programming is the idea of writing models from statistics and machine learning using program notations and reasoning about these models using generic inference engines. Recently its combination with deep learning has been…

Programming Languages · Computer Science 2019-11-19 Wonyeol Lee , Hangyeol Yu , Xavier Rival , Hongseok Yang

This paper introduces several techniques that improve the scalability of the deductive verification of data-level programs working on arrays and matrices. First of all, we introduce a technique to rewrite expressions with (nested)…

Software Engineering · Computer Science 2026-05-14 Lars B. van den Haak , Anton Wijs , Marieke Huisman

Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

This paper presents a quantitative program verification infrastructure for discrete probabilistic programs. Our infrastructure can be viewed as the probabilistic analogue of Boogie: its central components are an intermediate verification…

Programming Languages · Computer Science 2023-11-16 Philipp Schröer , Kevin Batz , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

Ladder Logics is a programming language standardized in IEC 61131-3 and widely used for programming industrial Programmable Logic Controllers (PLC). A PLC program consists of inputs (whose values are given at runtime by factory sensors),…

Software Engineering · Computer Science 2019-12-24 Denis Cousineau , David Mentré , Hiroaki Inoue

Probabilistic programming provides a convenient lingua franca for writing succinct and rigorous descriptions of probabilistic models and inference tasks. Several probabilistic programming languages, including Anglican, Church or Hakaru,…

Logic in Computer Science · Computer Science 2020-02-26 Tetsuya Sato , Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Justin Hsu

This tutorial provides an introduction to CPAchecker for users. CPAchecker is a flexible and configurable framework for software verification and testing. The framework provides many abstract domains, such as BDDs, explicit values,…

Research on deductive verification of probabilistic programs has considered expectation-based logics, where pre- and post-conditions are real-valued functions on states, and assertion-based logics, where pre- and post-conditions are boolean…

Logic in Computer Science · Computer Science 2018-03-16 Gilles Barthe , Thomas Espitau , Marco Gaboardi , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

Over the last few decades, many distinct lines of research aimed at automating mathematics have been developed, including computer algebra systems (CASs) for mathematical modelling, automated theorem provers for first-order logic, SAT/SMT…

Logic in Computer Science · Computer Science 2019-09-18 Curtis Bright , Ilias Kotsireas , Vijay Ganesh

Static verification provides strong correctness guarantees for code; however, fully specifying programs for static verification is a complex, burdensome process for users. Gradual verification was introduced to make this process easier by…

Programming Languages · Computer Science 2025-07-21 Priyam Gupta

We present a trustworthy connection between the Leon verification system and the Isabelle proof assistant. Leon is a system for verifying functional Scala programs. It uses a variety of automated theorem provers (ATPs) to check verification…

Logic in Computer Science · Computer Science 2016-07-07 Lars Hupel , Viktor Kuncak

We present CausalVLR (Causal Visual-Linguistic Reasoning), an open-source toolbox containing a rich set of state-of-the-art causal relation discovery and causal inference methods for various visual-linguistic reasoning tasks, such as VQA,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Yang Liu , Weixing Chen , Guanbin Li , Liang Lin
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