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Related papers: An Outline of Separation Logic

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Logical reasoning about program data often requires dealing with heap structures as well as scalar data types. Recent advances in Satisfiability Modular Theory (SMT) already offer efficient procedures for dealing with scalars, yet they lack…

Logic in Computer Science · Computer Science 2013-03-12 Juan Antonio Navarro-Pérez , Andrey Rybalchenko

Separation logic and its variants can describe various properties on pointer programs. However, when it comes to properties on sequences, one may find it hard to formalize. To deal with properties on variable-length sequences and multilevel…

Logic in Computer Science · Computer Science 2023-02-09 Tianyue Cao , Bowen Zhang , Zhao Jin , Yongzhi Cao , Hanpin Wang

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

Pointer arithmetic is widely used in low-level programs, e.g. memory allocators. The specification of such programs usually requires using pointer arithmetic inside inductive definitions to define the common data structures, e.g. heap lists…

Logic in Computer Science · Computer Science 2024-03-05 Wanyun Su , Zhilin Wu , Mihaela Sighireanu

Separation logic is a recent extension of Hoare logic for reasoning about programs with references to shared mutable data structures. In this paper, we provide a new interpretation of the logic for a programming language with higher types.…

Logic in Computer Science · Computer Science 2015-07-01 Lars Birkedal , Hongseok Yang

Cminor is a mid-level imperative programming language; there are proved-correct optimizing compilers from C to Cminor and from Cminor to machine language. We have redesigned Cminor so that it is suitable for Hoare Logic reasoning and we…

Programming Languages · Computer Science 2007-07-31 Andrew W. Appel , Sandrine Blazy

Incorrectness Separation Logic (ISL) is a proof system designed to automate verification and detect bugs in programs manipulating heap memories. In this study, we extend ISL to support variable-length array predicates and pointer…

Logic in Computer Science · Computer Science 2025-03-04 Yeonseok Lee , Koji Nakazawa

Starting with Hoare Logic over 50 years ago, numerous program logics have been devised to reason about the diverse programs encountered in the real world. This includes reasoning about computational effects, particularly those effects that…

Logic in Computer Science · Computer Science 2025-06-11 Noam Zilberstein

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

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

A logic program is an executable specification. For example, merge sort in pure Prolog is a logical formula, yet shows creditable performance on long linked lists. But such executable specifications are a compromise: the logic is distorted…

Programming Languages · Computer Science 2015-09-29 M. H. van Emden

Separation logics are a family of extensions of Hoare logic for reasoning about programs that mutate memory. These logics are "abstract" because they are independent of any particular concrete memory model. Their assertion languages, called…

Logic in Computer Science · Computer Science 2013-11-27 Zhe Hou , Ranald Clouston , Rajeev Gore , Alwen Tiu

Incorrectness Separation Logic (ISL) is a proof system that is tailored specifically to resolve problems of under-approximation in programs that manipulate heaps, and it primarily focuses on bug detection. This approach is different from…

Logic in Computer Science · Computer Science 2025-08-05 Yeonseok Lee , Koji Nakazawa

Many important functional and security properties--including non-interference, determinism, and generalized non-interference (GNI)--are hyperproperties, i.e., properties relating multiple executions of a program. Existing separation logics…

Programming Languages · Computer Science 2026-04-21 Trayan Gospodinov , Peter Müller , Thibault Dardinier

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

Value independence is enormously beneficial for reasoning about software systems at scale. These benefits carry over into the world of formal verification. Reasoning about programs algebraically is a simple affair in a proof assistant,…

Programming Languages · Computer Science 2026-02-09 Liam O'Connor , Pilar Selene Linares Arevalo , Christine Rizkallah

This paper presents matching logic, a first-order logic (FOL) variant for specifying and reasoning about structure by means of patterns and pattern matching. Its sentences, the patterns, are constructed using variables, symbols, connectives…

Logic in Computer Science · Computer Science 2019-03-14 Grigore Rosu

Separation logic is a Hoare-style logic for reasoning about programs with heap-allocated mutable data structures. As a step toward extending separation logic to high-level languages with ML-style general (higher-order) storage, we…

Logic in Computer Science · Computer Science 2015-07-01 Jan Schwinghammer , Lars Birkedal , Bernhard Reus , Hongseok Yang

Programs must be correct with respect to their application domain. Yet, the program specification and verification approaches so far only consider correctness in terms of computations. In this work, we present a two-tier Hoare Logic that…

Logic in Computer Science · Computer Science 2024-02-02 Eduard Kamburjan , Dilian Gurov

Abstract separation logics are a family of extensions of Hoare logic for reasoning about programs that manipulate resources such as memory locations. These logics are "abstract" because they are independent of any particular concrete…

Logic in Computer Science · Computer Science 2018-03-28 Zhé Hóu , Ranald Clouston , Rajeev Goré , Alwen Tiu
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