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Differential privacy is the standard method for privacy-preserving data analysis. The importance of having strong guarantees on the reliability of implementations of differentially private algorithms is widely recognized and has sparked…

We propose an automated verification technique for hypersafety properties, which express sets of valid interrelations between multiple finite runs of a program. The key observation is that constructing a proof for a small representative set…

Programming Languages · Computer Science 2019-05-23 Azadeh Farzan , Anthony Vandikas

We consider the problem of specifying and proving the security of non-trivial, concurrent programs that intentionally leak information. We present a method that decomposes the problem into (a) proving that the program only leaks information…

Cryptography and Security · Computer Science 2023-09-08 Toby Murray , Mukesh Tiwari , Gidon Ernst , David A. Naumann

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 present verification methods for logic programs with delay declarations. The verified properties are termination and freedom from errors related to built-ins. Concerning termination, we present two approaches. The first approach tries to…

Logic in Computer Science · Computer Science 2009-09-25 Jan-Georg Smaus , Patricia M. Hill , Andy King

In deductive verification and software model checking, dealing with certain specification language constructs can be problematic when the back-end solver is not sufficiently powerful or lacks the required theories. One way to deal with this…

Logic in Computer Science · Computer Science 2024-12-10 Jesper Amilon , Zafer Esen , Dilian Gurov , Christian Lidström , Philipp Rümmer , Marten Voorberg

The core of a formal semantics of an imperative programming language is a memory model that describes the behavior of operations on the memory. Defining a memory model that matches the description of C in the C11 standard is challenging…

Logic in Computer Science · Computer Science 2015-09-14 Robbert Krebbers

Separation Logic with inductive definitions is a well-known approach for deductive verification of programs that manipulate dynamic data structures. Deciding verification conditions in this context is usually based on user-provided lemmas…

Logic in Computer Science · Computer Science 2015-07-21 Constantin Enea , Mihaela Sighireanu , Zhilin Wu

For performance and verification in machine learning, new methods have recently been proposed that optimise learning systems to satisfy formally expressed logical properties. Among these methods, differentiable logics (DLs) are used to…

Logic in Computer Science · Computer Science 2024-07-08 Reynald Affeldt , Alessandro Bruni , Ekaterina Komendantskaya , Natalia Ślusarz , Kathrin Stark

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

Extensive research on formal verification of machine learning (ML) systems indicates that learning from data alone often fails to capture underlying background knowledge. A variety of verifiers have been developed to ensure that a…

Logic in Computer Science · Computer Science 2023-11-17 Thomas Flinkow , Barak A. Pearlmutter , Rosemary Monahan

Convex relaxations have emerged as a promising approach for verifying desirable properties of neural networks like robustness to adversarial perturbations. Widely used Linear Programming (LP) relaxations only work well when networks are…

Visual programs are executable code generated by large language models to address visual reasoning problems. They decompose complex questions into multiple reasoning steps and invoke specialized models for each step to solve the problems.…

Computation and Language · Computer Science 2024-10-07 Xueqing Wu , Zongyu Lin , Songyan Zhao , Te-Lin Wu , Pan Lu , Nanyun Peng , Kai-Wei Chang

Automatic verification of array manipulating programs is a challenging problem because it often amounts to the inference of in ductive quantified loop invariants which, in some cases, may not even be firstorder expressible. In this paper,…

Programming Languages · Computer Science 2021-06-03 Oren Ish Shalom , Shachar Itzhaky , Noam Rinetzky , Sharon Shoham

In answer set programming (ASP), a problem at hand is solved by (i) writing a logic program whose answer sets correspond to the solutions of the problem, and by (ii) computing the answer sets of the program using an answer set solver as a…

Artificial Intelligence · Computer Science 2007-05-23 Tomi Janhunen , Emilia Oikarinen

We give a relational and a weakest precondition semantics for "knowledge-based programs", i.e., programs that restrict observability of variables so as to richly express changes in the knowledge of agents who can or cannot observe said…

Logic in Computer Science · Computer Science 2022-07-07 Francesco Belardinelli , Ioana Boureanu , Vadim Malvone , Solofomampionona Fortunat Rajaona

Proving the correctness of programs written for multiple processors is a challenging problem, due in no small part to the weaker memory guarantees afforded by most modern architectures. In particular, the existence of store buffers means…

Logic in Computer Science · Computer Science 2014-06-09 Benjamin Selfridge

Fact-checking real-world claims often requires collecting multiple pieces of evidence and applying complex multi-step reasoning. In this paper, we present Program-Guided Fact-Checking (ProgramFC), a novel fact-checking model that decomposes…

Computation and Language · Computer Science 2023-05-23 Liangming Pan , Xiaobao Wu , Xinyuan Lu , Anh Tuan Luu , William Yang Wang , Min-Yen Kan , Preslav Nakov

The programming language Prolog makes declarative programming possible, at least to a substantial extent. Programs may be written and reasoned about in terms of their declarative semantics. All the advantages of declarative programming are…

Logic in Computer Science · Computer Science 2023-08-31 Włodzimierz Drabent

We consider the verification of omega-regular linear temporal properties of concurrent programs running under weak memory semantics. We observe that in particular, these properties may enforce liveness clauses, whose verification in this…

Programming Languages · Computer Science 2024-09-10 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Adwait Godbole , Shankaranarayanan Krishna , Mihir Vahanwala