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This paper presents incremental verification-validation, a novel approach for checking rich data structure invariants expressed as separation logic assertions. Incremental verification-validation combines static verification of separation…

Programming Languages · Computer Science 2015-11-17 Yi-Fan Tsai , Devin Coughlin , Bor-Yuh Evan Chang , Xavier Rival

We survey dynamic logics for specifying and verifying properties of dynamical systems, including hybrid systems, distributed hybrid systems, and stochastic hybrid systems. A dynamic logic is a first-order modal logic with a pair of…

Logic in Computer Science · Computer Science 2021-06-07 André Platzer

Designing control policies for large, distributed systems is challenging, especially in the context of critical, temporal logic based specifications (e.g., safety) that must be met with high probability. Compositional methods for such…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Krishna C. Kalagarla , Matthew Low , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

This article presents liquid resource types, a technique for automatically verifying the resource consumption of functional programs. Existing resource analysis techniques trade automation for flexibility -- automated techniques are…

Programming Languages · Computer Science 2020-07-03 Tristan Knoth , Di Wang , Adam Reynolds , Jan Hoffmann , Nadia Polikarpova

We consider concurrent systems consisting of replicated finite-state processes that synchronize via joint interactions in a network with user-defined topology. The system is specified using a resource logic with a multiplicative connective…

Logic in Computer Science · Computer Science 2022-04-27 Marius Bozga , Lucas Bueri , Radu Iosif

If a Micro Processor Unit (MPU) receives an external electric signal as noise, the system function will freeze or malfunction easily. A new resilience strategy is implemented in order to reset the MPU automatically and stop the MPU from…

Software Engineering · Computer Science 2014-05-08 Ling Fang , Yoriyuki Yamagata , Yutaka Oiwa

We introduce a logical foundation to reason on tree structures with constraints on the number of node occurrences. Related formalisms are limited to express occurrence constraints on particular tree regions, as for instance the children of…

Logic in Computer Science · Computer Science 2015-07-01 Everardo Bárcenas , Jesús Lavalle

Circuits based on sum-product structure have become a ubiquitous representation to compactly encode knowledge, from Boolean functions to probability distributions. By imposing constraints on the structure of such circuits, certain inference…

Artificial Intelligence · Computer Science 2025-02-25 Benjie Wang , Denis Deratani Mauá , Guy Van den Broeck , YooJung Choi

We present a verification methodology for analysing the decision-making component in agent-based hybrid systems. Traditionally hybrid automata have been used to both implement and verify such systems, but hybrid automata based modelling,…

Logic in Computer Science · Computer Science 2013-10-10 Louise A. Dennis , Michael Fisher , Nicholas K. Lincoln , Alexei Lisitsa , Sandor M. Veres

In this contribution we revisit regular model checking, a powerful framework that has been successfully applied for the verification of infinite-state systems, especially parameterized systems (concurrent systems with an arbitrary number of…

Logic in Computer Science · Computer Science 2021-11-23 Anthony W. Lin , Philipp Rümmer

We propose a procedure for automated implicit inductive theorem proving for equational specifications made of rewrite rules with conditions and constraints. The constraints are interpreted over constructor terms (representing data values),…

Logic in Computer Science · Computer Science 2008-12-01 Adel Bouhoula , Florent Jacquemard

Modal logics allow reasoning about various modes of truth: for example, what it means for something to be possibly true, or to know that something is true as opposed to merely believing it. This report describes embeddings of propositional…

Logic in Computer Science · Computer Science 2022-05-16 John Rushby

Recursive coalgebras provide an elegant categorical tool for modelling recursive algorithms and analysing their termination and correctness. By considering coalgebras over categories of suitably indexed families, the correctness of the…

Programming Languages · Computer Science 2026-04-20 Cass Alexandru , Henning Urbat , Thorsten Wißmann

We consider the stability and the input-output analysis problems of a class of large-scale hybrid systems composed of continuous dynamics coupled with discrete dynamics defined over finite alphabets, e.g., deterministic finite state…

Optimization and Control · Mathematics 2018-03-05 Murat Cubuktepe , Mohamadreza Ahmadi , Ufuk Topcu , Brandon Hencey

We extend the simply-typed guarded $\lambda$-calculus with discrete probabilities and endow it with a program logic for reasoning about relational properties of guarded probabilistic computations. This provides a framework for programming…

Programming Languages · Computer Science 2018-02-28 Alejandro Aguirre , Gilles Barthe , Lars Birkedal , Aleš Bizjak , Marco Gaboardi , Deepak Garg

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

The notion of non-deterministic logical matrix (where connectives are interpreted as multi-functions) preserves many good properties of traditional semantics based on logical matrices (where connectives are interpreted as functions) whilst…

Logic in Computer Science · Computer Science 2022-04-15 Pedro Filipe , Carlos Caleiro , Sérgio Marcelino

Nondeterministic choice is a useful program construct that provides a way to describe the behaviour of a program without specifying the details of possible implementations. It supports the stepwise refinement of programs, a method that has…

Logic in Computer Science · Computer Science 2023-02-17 Yuan Feng , Yingte Xu

We propose inheritance and refinement relations for a CSP-based component model (BRIC), which supports a constructive design based on composition rules that preserve classical concurrency properties such as deadlock freedom. The proposed…

Software Engineering · Computer Science 2020-05-22 José Dihego , Augusto Sampaio , Marcel Oliveira

Precisely modeling complex systems like cyber-physical systems is challenging, which often render model-based system verification techniques like model checking infeasible. To overcome this challenge, we propose a method called LAR to…

Software Engineering · Computer Science 2019-11-21 Jingyi Wang , Jun Sun , Shengchao Qin , Cyrille Jegourel