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The two major systems of formal verification are model checking and algebraic model-based testing. Model checking is based on some form of temporal logic such as linear temporal logic (LTL) or computation tree logic (CTL). One powerful and…

Logic in Computer Science · Computer Science 2019-01-31 Stefan D. Bruda , Sunita Singh , A. F. M. Nokib Uddin , Zhiyu Zhang , Rui Zuo

The first-order theory of MALL (multiplicative, additive linear logic) over only equalities is an interesting but weak logic since it cannot capture unbounded (infinite) behavior. Instead of accounting for unbounded behavior via the…

Logic in Computer Science · Computer Science 2010-12-02 David Baelde

The model of asynchronous programming arises in many contexts, from low-level systems software to high-level web programming. We take a language-theoretic perspective and show general decidability and undecidability results for asynchronous…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Concolic testing is a popular dynamic validation technique that can be used for both model checking and automatic test case generation. We have recently introduced concolic testing in the context of logic programming. In contrast to…

Logic in Computer Science · Computer Science 2016-08-11 Fred Mesnard , Etienne Payet , German Vidal

Admissible rules are shown to be conservatively preserved by the meet-combination of a wide class of logics. A basis is obtained for the resulting logic from bases given for the component logics. Structural completeness and decidability of…

Logic · Mathematics 2016-12-19 Joao Rasga , Cristina Sernadas , Amilcar Sernadas

Concurrent systems are notoriously difficult to analyze, and technological advances such as weak memory architectures greatly compound this problem. This has renewed interest in partial order semantics as a theoretical foundation for formal…

Logic in Computer Science · Computer Science 2015-04-02 Alex Horn , Daniel Kroening

Message passing is a key ingredient of concurrent programming. The purpose of this paper is to describe the equivalence between the proof theory, the categorical semantics, and term calculus of message passing. In order to achieve this we…

Category Theory · Mathematics 2010-03-03 J. R. B. Cockett , Craig Pastro

Tabled logic programming is receiving increasing attention in the Logic Programming community. It avoids many of the shortcomings of SLD execution and provides a more flexible and often extremely efficient execution mechanism for logic…

Logic in Computer Science · Computer Science 2007-05-23 Sofie Verbaeten , Danny De Schreye , Konstantinos Sagonas

We show that SCL(FOL) can simulate the derivation of non-redundant clauses by superposition for first-order logic without equality. Superposition-based reasoning is performed with respect to a fixed reduction ordering. The completeness…

Logic in Computer Science · Computer Science 2023-05-23 Martin Bromberger , Chaahat Jain , Christoph Weidenbach

A new logic for verification of security policies is proposed. The logic, HyperLTL, extends linear-time temporal logic (LTL) with connectives for explicit and simultaneous quantification over multiple execution paths, thereby enabling…

Logic in Computer Science · Computer Science 2013-07-10 Masoud Koleini , Michael R. Clarkson , Kristopher K. Micinski

The verification of multithreaded software is still a challenge. This comes mainly from the fact that the number of thread interleavings grows exponentially in the number of threads. The idea that thread interleavings can be studied with a…

Logic in Computer Science · Computer Science 2011-09-27 Robert Mittermayr , Johann Blieberger

Matching logic is a formalism for specifying, and reasoning about, mathematical structures, using patterns and pattern matching. Growing in popularity, it has been used to define many logical systems such as separation logic with recursive…

Logic in Computer Science · Computer Science 2022-09-22 Péter Bereczky , Xiaohong Chen , Dániel Horpácsi , Lucas Peña , Jan Tušil

Program synthesis is the generation of a program from a specification. Correct synthesis is difficult, and methods that provide formal guarantees suffer from scalability issues. On the other hand, neural networks are able to generate…

Logic in Computer Science · Computer Science 2020-01-28 Elizabeth Polgreen , Ralph Abboud , Daniel Kroening

Competition between times series often arises in sales prediction, when similar products are on sale on a marketplace. This article provides a model of the presence of cannibalization between times series. This model creates a…

Machine Learning · Statistics 2021-06-21 Rémy Garnier

The need for rigorous process composition is encountered in many situations pertaining to the development and analysis of complex systems. We discuss the use of Classical Linear Logic (CLL) for correct-by-construction resource-based process…

Logic in Computer Science · Computer Science 2018-08-20 Petros Papapanagiotou , Jacques Fleuriot

Classical machine learning (CML) occupies nearly half of machine learning pipelines in production applications. Unfortunately, it fails to utilize the state-of-the-practice devices fully and performs poorly. Without a unified framework, the…

Machine Learning · Computer Science 2023-05-01 Xu Wen , Wanling Gao , Anzheng Li , Lei Wang , Zihan Jiang , Jianfeng Zhan

Part of the theory of logic programming and nonmonotonic reasoning concerns the study of fixed-point semantics for these paradigms. Several different semantics have been proposed during the last two decades, and some have been more…

Artificial Intelligence · Computer Science 2007-05-23 Pascal Hitzler , Matthias Wendt

Most proof systems for concurrent programs assume the underlying memory model to be sequentially consistent (SC), an assumption which does not hold for modern multicore processors. These processors, for performance reasons, implement…

Logic in Computer Science · Computer Science 2013-04-11 Chinmay Narayan , Shibashis Guha , S. Arun-Kumar

We introduce parallelism into the basic algebra of games to model concurrent game algebraically. Parallelism is treated as a new kind of game operation. The resulted algebra of concurrent games can be used widely to reason the parallel…

Logic in Computer Science · Computer Science 2019-09-04 Yong Wang

To maximize the information gained from a single execution when verifying a concurrent system, one can derive all concurrency-aware equivalent executions and check them against linear specifications. This paper offers an alternative…

Logic in Computer Science · Computer Science 2025-07-08 Martin Leucker