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Dynamic memory issues are hard to locate and may cost much of a development project's efforts and was repeatedly reported similarly afterwards independently by different persons. Verification as one formal method may proof a given program's…

Logic in Computer Science · Computer Science 2019-06-28 René Haberland , Kirill Krinkin

Separation logics are widely used for verifying programs that manipulate complex heap-based data structures. These logics build on so-called separation algebras, which allow expressing properties of heap regions such that modifications to a…

Logic in Computer Science · Computer Science 2019-11-21 Siddharth Krishna , Alexander J. Summers , Thomas Wies

In permission logics such as separation logic, the iterated separating conjunction is a quantifier denoting access permission to an unbounded set of heap locations. In contrast to recursive predicates, iterated separating conjunctions do…

Programming Languages · Computer Science 2016-05-09 Peter Müller , Malte Schwerhoff , Alexander J. Summers

This paper presents a novel set of algorithms for heap abstraction, identifying logically related regions of the heap. The targeted regions include objects that are part of the same component structure (recursive data structure). The result…

Logic in Computer Science · Computer Science 2012-12-21 Mohamed A. El-Zawawy

The correctness of many algorithms and data structures depends on reachability properties, that is, on the existence of chains of references between objects in the heap. Reasoning about reachability is difficult for two main reasons. First,…

Programming Languages · Computer Science 2019-08-19 Arshavir Ter-Gabrielyan , Alexander J. Summers , Peter Müller

The article provides an overview of the existing methods of dynamic memory verification; a comparative analysis is carried out; the applicability for solving problems of control, monitoring, and verification of dynamic memory is evaluated.…

Logic in Computer Science · Computer Science 2022-03-25 René Haberland

Heap data is potentially unbounded and seemingly arbitrary. As a consequence, unlike stack and static memory, heap memory cannot be abstracted directly in terms of a fixed set of source variable names appearing in the program being…

Programming Languages · Computer Science 2016-07-05 Vini Kanvar , Uday P. Khedker

Separation logic is a concise method for specifying programs that manipulate dynamically allocated storage. Partially inspired by separation logic, Implicit Dynamic Frames has recently been proposed, aiming at first-order tool support. In…

Programming Languages · Computer Science 2015-07-01 Matthew J. Parkinson , Alexander J. Summers

We introduce heap automata, a formalism for automatic reasoning about robustness properties of the symbolic heap fragment of separation logic with user-defined inductive predicates. Robustness properties, such as satisfiability,…

Logic in Computer Science · Computer Science 2016-10-25 Christina Jansen , Jens Katelaan , Christoph Matheja , Thomas Noll , Florian Zuleger

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

Concurrent separation logics have helped to significantly simplify correctness proofs for concurrent data structures. However, a recurring problem in such proofs is that data structure abstractions that work well in the sequential setting…

Logic in Computer Science · Computer Science 2017-11-10 Siddharth Krishna , Dennis Shasha , Thomas Wies

This work proposes a Prolog-dialect for the found and prioritised problems on expressibility and automation. Given some given C-like program, if dynamic memory is allocated, altered and freed on runtime, then a description of desired…

Logic in Computer Science · Computer Science 2021-04-06 René Haberland

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

Theoretical foundations of compositional reasoning about heaps in imperative programming languages are investigated. We introduce a novel concept of compositional symbolic memory and its relevant properties. We utilize these formal…

Programming Languages · Computer Science 2019-06-27 Yurii Kostyukov , Konstantin Batoev , Dmitry Mordvinov , Michael Kostitsyn , Aleksandr Misonizhnik

We present a new connection between self-adjusting binary search trees (BSTs) and heaps, two fundamental, extensively studied, and practically relevant families of data structures. Roughly speaking, we map an arbitrary heap algorithm within…

Data Structures and Algorithms · Computer Science 2019-01-01 László Kozma , Thatchaphol Saranurak

Despite significant progress in the theory and practice of program analysis, analysing properties of heap data has not reached the same level of maturity as the analysis of static and stack data. The spatial and temporal structure of stack…

Programming Languages · Computer Science 2013-04-25 Uday Khedker , Amitabha Sanyal , Amey Karkare

We introduce regular graph constraints and explore their decidability properties. The motivation for regular graph constraints is 1) type checking of changing types of objects in the presence of linked data structures, 2) shape analysis…

Programming Languages · Computer Science 2007-05-23 Viktor Kuncak , Martin Rinard

Almost all modern imperative programming languages include operations for dynamically manipulating the heap, for example by allocating and deallocating objects, and by updating reference fields. In the presence of recursive procedures and…

Programming Languages · Computer Science 2012-12-18 Jurriaan Rot , Irina Măriuca Asăvoae , Frank de Boer , Marcello M. Bonsangue , Dorel Lucanu

This paper introduces a new machine architecture for evaluating lambda expressions using the normal-order reduction, which guarantees that every lambda expression will be evaluated if the expression has its normal form and the system has…

Logic in Computer Science · Computer Science 2010-11-05 Anton Salikhmetov

Reasoning is the ability to integrate internal states and external inputs in a meaningful and semantically consistent flow. Contemporary machine learning (ML) systems increasingly rely on such sequential reasoning, from language…

Neural and Evolutionary Computing · Computer Science 2026-03-06 Simone Betteti , Giacomo Baggio , Sandro Zampieri
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