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TLAPS, the TLA+ proof system, is a platform for the development and mechanical verification of TLA+ proofs written in a declarative style requiring little background beyond elementary mathematics. The language supports hierarchical and…

Logic in Computer Science · Computer Science 2010-11-12 Kaustuv Chaudhuri , Damien Doligez , Leslie Lamport , Stephan Merz

In this paper we show how $\{log\}$ (read `setlog'), a Constraint Logic Programming (CLP) language based on set theory, can be used as an automated verifier for B specifications. In particular we encode in $\{log\}$ an Event-B…

Software Engineering · Computer Science 2022-01-03 Maximiliano Cristiá , Gianfranco Rossi

{log} (read 'setlog') was born as a Constraint Logic Programming (CLP) language where sets and binary relations are first-class citizens, thus fostering set programming. Internally, {log} is a constraint satisfiability solver implementing…

Logic in Computer Science · Computer Science 2026-03-13 Maximiliano Cristiá , Alfredo Capozucca , Gianfranco Rossi

There is an increasing necessity to deploy autonomous systems in highly heterogeneous, dynamic environments, e.g. service robots in hospitals or autonomous cars on highways. Due to the uncertainty in these environments, the verification…

Software Engineering · Computer Science 2016-12-16 Adina Aniculaesei , Daniel Arnsberger , Falk Howar , Andreas Rausch

We study a proof methodology for verifying the safety of data invariants of highly-available distributed applications that replicate state. The proof is (1) modular: one can reason about each individual operation separately, and (2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-08 Sreeja Nair , Gustavo Petri , Marc Shapiro

The formal system $\lambda\delta$ is a typed lambda calculus derived from $\Lambda_\infty$, aiming to support the foundations of Mathematics that require an underlying theory of expressions (for example the Minimal Type Theory). The system…

Logic in Computer Science · Computer Science 2019-12-02 Ferruccio Guidi

Model checking is a proven approach for checking whether the behavior model of a safety-critical system fulfills safety properties that are stated as LTL formulas.We propose rules for generating such LTL formulas automatically based on the…

Software Engineering · Computer Science 2024-04-08 Jette Petzold , Reinhard von Hanxleden

We formalize automated analysis techniques for the validation of web services specified in BPEL and a RBAC variant tailored to BPEL. The idea is to use decidable fragments of first-order logic to describe the state space of a certain class…

Cryptography and Security · Computer Science 2010-11-13 Alberto Calvi , Silvio Ranise , Luca Viganò

The formal analysis of security protocols is a challenging field, with various approaches being studied nowadays. The famous Burrows-Abadi-Needham Logic was the first logical system aiming to validate security protocols. Combining ideas…

Logic in Computer Science · Computer Science 2021-11-02 Ioana Leustean , Bogdan Macovei

Control systems are an integral part of almost every engineering and physical system and thus their accurate analysis is of utmost importance. Traditionally, control systems are analyzed using paper-and-pencil proof and computer simulation…

Logic in Computer Science · Computer Science 2017-07-24 Adnan Rashid , Osman Hasan

Employing model predictive control to systems with unbounded, stochastic disturbances poses the challenge of guaranteeing safety, i.e., repeated feasibility and stability of the closed-loop system. Especially, there are no strict repeated…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Maik Pfefferkorn , Rolf Findeisen

The article "Interpolation and SAT-Based Model Checking" (McMillan, 2003) describes a formal-verification algorithm, which was originally devised to verify safety properties of finite-state transition systems. It derives interpolants from…

Software Engineering · Computer Science 2024-03-14 Dirk Beyer , Nian-Ze Lee , Philipp Wendler

The increasing use of autonomous and semi-autonomous agents in society has made it crucial to validate their safety. However, the complex scenarios in which they are used may make formal verification impossible. To address this challenge,…

Systems and Control · Electrical Eng. & Systems 2023-03-03 Jared J. Beard , Ali Baheri

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

This paper provides the first correct semantical representation of UML state-machines within the logical framework of an institution (previous attempts were flawed). A novel encoding of this representation into first-order logic enables…

Software Engineering · Computer Science 2020-11-03 Tobias Rosenberger , Saddek Bensalem , Alexander Knapp , Markus Roggenbach

The automatic verification of programs that maintain unbounded low-level data structures is a critical and open problem. Analyzers and verifiers developed in previous work can synthesize invariants that only describe data structures of…

Programming Languages · Computer Science 2017-10-11 Caleb Voss , David Heath , William Harris

This paper presents the first model-checking algorithm for an expressive modal mu-calculus over timed automata, $L^{\mathit{rel}, \mathit{af}}_{\nu,\mu}$, and reports performance results for an implementation. This mu-calculus contains…

Formal Languages and Automata Theory · Computer Science 2014-08-29 Peter Fontana , Rance Cleaveland

Bell's theorem is reformulated and proved in the pure mathematical terms of automata theory, avoiding any physical or ontological notions. It is stated that no pair of finite probabilistic sequential machines can reproduce in its output the…

Quantum Physics · Physics 2017-12-13 Michael Zirpel

Safety is a syntactic condition of higher-order grammars that constrains occurrences of variables in the production rules according to their type-theoretic order. In this paper, we introduce the safe lambda calculus, which is obtained by…

Programming Languages · Computer Science 2015-07-01 William Blum , C. -H. Luke Ong

A first-order conditional logic is considered, with semantics given by a variant of epsilon-semantics, where p -> q means that Pr(q | p) approaches 1 super-polynomially --faster than any inverse polynomial. This type of convergence is…

Cryptography and Security · Computer Science 2008-12-18 Joseph Y. Halpern
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