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We present Polaris, a concurrent separation logic with support for probabilistic reasoning. As part of our logic, we extend the idea of coupling, which underlies recent work on probabilistic relational logics, to the setting of programs…

Programming Languages · Computer Science 2018-11-22 Joseph Tassarotti , Robert Harper

In this paper, we develop a novel verification technique to reason about programs featuring concurrency, pointers and randomization. While the integration of concurrency and pointers is well studied, little is known about the combination of…

Logic in Computer Science · Computer Science 2024-10-01 Ira Fesefeldt , Joost-Pieter Katoen , Thomas Noll

Separation logic is a substructural logic which has proved to have numerous and fruitful applications to the verification of programs working on dynamic data structures. Recently, Barthe, Hsu and Liao have proposed a new way of giving…

Cryptography and Security · Computer Science 2024-05-21 Ugo Dal Lago , Davide Davoli , Bruce M. Kapron

Shared-memory concurrency is difficult to reason about because each thread executes under interference from other threads. At the same time, many correctness arguments for classic algorithms are epistemic: a thread enters a critical region…

Logic in Computer Science · Computer Science 2026-01-26 Hamed Nemati , Mads Dam

Although randomization has long been used in distributed computing, formal methods for reasoning about probabilistic concurrent programs have lagged behind. No existing program logics can express specifications about the full distributions…

Logic in Computer Science · Computer Science 2025-11-26 Noam Zilberstein , Alexandra Silva , Joseph Tassarotti

Common approaches to concurrent programming begin with languages whose semantics are naturally sequential and add new constructs that provide limited access to concurrency, as exemplified by futures. This approach has been quite successful,…

Programming Languages · Computer Science 2023-06-22 Klaas Pruiksma , Frank Pfenning

Arguments about correctness of a concurrent data structure are typically carried out by using the notion of linearizability and specifying the linearization points of the data structure's procedures. Such arguments are often cumbersome as…

Logic in Computer Science · Computer Science 2017-01-19 Germán Andrés Delbianco , Ilya Sergey , Aleksandar Nanevski , Anindya Banerjee

We develop local reasoning techniques for message passing concurrent programs based on ideas from separation logics and resource usage analysis. We extend processes with permission- resources and define a reduction semantics for this…

Logic in Computer Science · Computer Science 2015-07-01 Adrian Francalanza , Julian Rathke , Vladimiro Sassone

Thanks to the locality principle, separation logics support modular, scalable analysis of large codebases by relying on local axioms and frame rules to focus only on the heap fragments required for verification. However, depending on the…

Logic in Computer Science · Computer Science 2026-05-21 Roberto Bruni , Lorenzo Gazzella , Roberta Gori

Proving linearizability of concurrent data structures remains a key challenge for verification. We present temporal interpolation as a new proof principle to conduct such proofs using hindsight arguments within concurrent separation logic.…

Programming Languages · Computer Science 2023-04-25 Roland Meyer , Thomas Wies , Sebastian Wolff

Formal, mathematically rigorous programming language semantics are the essential prerequisite for the design of logics and calculi that permit automated reasoning about concurrent programs. We propose a novel modular semantics designed to…

Programming Languages · Computer Science 2022-02-25 Crystal Chang Din , Reiner Hähnle , Ludovic Henrio , Einar Broch Johnsen , Violet Ka I Pun , Silvia Lizeth Tapia Tarifa

Linearizability is a commonly accepted notion of correctness for libraries of concurrent algorithms, and recent years have seen a number of proposals of program logics for proving it. Although these logics differ in technical details, they…

Programming Languages · Computer Science 2016-09-06 Artem Khyzha , Alexey Gotsman , Matthew Parkinson

Concurrent separation logic with fractional permissions (CSLPerm) provides a promising reasoning system to verify most complex sequential and concurrent fine-grained programs. The logic with strong and weak separating conjunctions offers a…

Logic in Computer Science · Computer Science 2025-10-07 Quang Loc Le

Separation logic is often praised for its ability to closely mimic the locality of state updates when reasoning about them at the level of assertions. The prover only needs to concern themselves with the footprint of the computation at…

Programming Languages · Computer Science 2024-08-06 Roland Meyer , Thomas Wies , Sebastian Wolff

In prior work, we showed that logic programming compilation can be given a proof-theoretic justification for generic abstract logic programming languages, and demonstrated this technique in the case of hereditary Harrop formulas and their…

Logic in Computer Science · Computer Science 2012-10-08 Iliano Cervesato

Separation logic's compositionality and local reasoning properties have led to significant advances in scalable static analysis. But program analysis has new challenges -- many programs display computational effects and, orthogonally,…

Logic in Computer Science · Computer Science 2024-03-15 Noam Zilberstein , Angelina Saliling , Alexandra Silva

Computation nowadays is becoming inherently concurrent, either because of characteristics of the hardware (with multicore processors becoming omnipresent) or due to the ubiquitous presence of distributed systems (incarnated in the…

Software Engineering · Computer Science 2011-08-01 Mohammad Reza Mousavi , Antonio Ravara

Testing algorithms across a wide range of problem instances is crucial to ensure the validity of any claim about one algorithm's superiority over another. However, when it comes to inference algorithms for probabilistic logic programs,…

Logic in Computer Science · Computer Science 2020-09-14 Paulius Dilkas , Vaishak Belle

We present Foxtrot, the first higher-order separation logic for proving contextual refinement of higher-order concurrent probabilistic programs with higher-order local state. From a high level, Foxtrot inherits various concurrency reasoning…

Logic in Computer Science · Computer Science 2026-04-28 Kwing Hei Li , Alejandro Aguirre , Joseph Tassarotti , Lars Birkedal

Commutativity reasoning based on Lipton's movers is a powerful technique for verification of concurrent programs. The idea is to define a program transformation that preserves a subset of the initial set of interleavings, which is sound…

Programming Languages · Computer Science 2026-01-21 Namratha Gangamreddypalli , Constantin Enea , Shaz Qadeer
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