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This work proposes a novel approach for automatic verification and synthesis of infinite-state reactive programs with respect to ${CTL}^*$ specifications, based on translation to Existential Horn Clauses (EHCs). $CTL^*$ is a powerful…

Logic in Computer Science · Computer Science 2026-05-13 Mishel Carelli , Orna Grumberg

Max-Plus Linear (MPL) systems are an algebraic formalism with practical applications in transportation networks, manufacturing and biological systems. In this paper, we investigate the problem of automatically analyzing the properties of…

Formal Languages and Automata Theory · Computer Science 2023-08-22 Muhammad Syifa'ul Mufid , Andrea Micheli , Alessandro Abate , Alessandro Cimatti

Recently, the separated fragment (SF) has been introduced and proved to be decidable. Its defining principle is that universally and existentially quantified variables may not occur together in atoms. The known upper bound on the time…

Logic in Computer Science · Computer Science 2017-04-10 Marco Voigt

In various applications the search for certificates for certain properties (e.g., stability of dynamical systems, program termination) can be formulated as a quantified constraint solving problem with quantifier prefix exists-forall. In…

Logic in Computer Science · Computer Science 2014-06-26 Milan Hladík , Stefan Ratschan

Strategy logic (SL) is a powerful temporal logic that enables strategic reasoning in multi-agent systems. SL supports explicit (first-order) quantification over strategies and provides a logical framework to express many important…

Multiagent Systems · Computer Science 2024-03-21 Raven Beutner , Bernd Finkbeiner

The satisfiability problem of hybrid logics with the downarrow binder is known to be undecidable. This initiated a research program on decidable and tractable fragments. In this paper, we investigate the effect of restricting the…

Logic in Computer Science · Computer Science 2015-03-13 Arne Meier , Martin Mundhenk , Thomas Schneider , Michael Thomas , Volker Weber , Felix Weiss

Smart contracts are small but highly security-critical programs that implement wallets, token systems, auctions, crowd funding systems, elections, and other multi-party transactions on the blockchain. A broad range of methods has been…

Logic in Computer Science · Computer Science 2023-07-11 Norine Coenen , Bernd Finkbeiner , Jana Hofmann , Julia Tillman

We reduce synthesis for CTL* properties to synthesis for LTL. In the context of model checking this is impossible - CTL* is more expressive than LTL. Yet, in synthesis we have knowledge of the system structure and we can add new outputs.…

Formal Languages and Automata Theory · Computer Science 2017-11-30 Roderick Bloem , Sven Schewe , Ayrat Khalimov

Runtime verification is an effective automated method for specification-based offline testing and analysis as well as online monitoring of complex systems. The specification language is often a variant of regular expressions or a popular…

Logic in Computer Science · Computer Science 2014-11-11 Ramy Medhat , Yogi Joshi , Borzoo Bonakdarpour , Sebastian Fischmeister

A predicate linear temporal logic LTL_{\lambda,=} without quantifiers but with predicate abstraction mechanism and equality is considered. The models of LTL_{\lambda,=} can be naturally seen as the systems of pebbles (flexible constants)…

Logic in Computer Science · Computer Science 2007-05-23 Alexei Lisitsa , Igor Potapov

Temporal logics over finite traces have recently seen wide application in a number of areas, from business process modelling, monitoring, and mining to planning and decision making. However, real-life dynamic systems contain a degree of…

Logic in Computer Science · Computer Science 2019-11-19 Fabrizio M. Maggi , Marco Montali , Rafael Peñaloza

This paper proposes a new logic RoCTL* to model robustness in concurrent systems. RoCTL* extends CTL* with the addition of Obligatory and Robustly operators, which quantify over failure-free paths and paths with one more failure…

Logic in Computer Science · Computer Science 2013-09-18 John C. McCabe-Dansted , Tim French , Mark Reynolds , Sophie Pinchinat

We present an analysis technique for temporal specifications of reactive systems that identifies, on the level of individual system outputs over time, which parts of the implementation are determined by the specification, and which parts…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Bernd Finkbeiner , Hazem Torfah

We study first-order logic (FO) over the structure consisting of finite words over some alphabet $A$, together with the (non-contiguous) subword ordering. In terms of decidability of quantifier alternation fragments, this logic is…

Logic in Computer Science · Computer Science 2024-02-14 Pascal Baumann , Moses Ganardi , Ramanathan S. Thinniyam , Georg Zetzsche

Hoare logics are proof systems that allow one to formally establish properties of computer programs. Traditional Hoare logics prove properties of individual program executions (such as functional correctness). Hoare logic has been…

Logic in Computer Science · Computer Science 2024-04-12 Thibault Dardinier , Peter Müller

We investigate the task and motion planning problem for dynamical systems under signal temporal logic (STL) specifications. Existing works on STL control synthesis mainly focus on generating plans that satisfy properties over a single…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Jianing Zhao , Bowen Ye , Xinyi Yu , Rupak Majumdar , Xiang Yin

We study LTLf synthesis with multiple properties, where satisfying all properties may be impossible. Instead of enumerating subsets of properties, we compute in one fixed-point computation the relation between product-game states and the…

Artificial Intelligence · Computer Science 2026-01-16 Christoph Weinhuber , Yannik Schnitzer , Alessandro Abate , David Parker , Giuseppe De Giacomo , Moshe Y. Vardi

LTL is frequently used to express specifications in many domains such as embedded systems or business processes. Witnesses can help to understand why an LTL specification is satisfiable, and a number of approaches exist to make…

Logic in Computer Science · Computer Science 2013-06-13 Viktor Schuppan

We introduce a description logic ALCQIO_{b,Re} which adds reachability assertions to ALCQIO, a sub-logic of the two-variable fragment of first order logic with counting quantifiers. ALCQIO_{b,Re} is well-suited for applications in software…

Logic in Computer Science · Computer Science 2014-07-10 Tomer Kotek , Mantas Simkus , Helmut Veith , Florian Zuleger

Reasoning about hyperproperties of concurrent implementations, such as the guarantees these implementations provide to randomized client programs, has been a long-standing challenge. Standard linearizability enables the use of atomic…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Yoav Ben Shimon , Ori Lahav , Sharon Shoham
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