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This paper is concerned with Freeze LTL, a temporal logic on data words with registers. In a (multi-attributed) data word each position carries a letter from a finite alphabet and assigns a data value to a fixed, finite set of attributes.…

Logic in Computer Science · Computer Science 2016-01-12 Normann Decker , Daniel Thoma

Given a formula in a temporal logic such as LTL or MTL, a fundamental problem is the complexity of evaluating the formula on a given finite word. For LTL, the complexity of this task was recently shown to be in NC. In this paper, we present…

Logic in Computer Science · Computer Science 2014-04-29 Daniel Bundala , Joël Ouaknine

In this paper we address the synthesis problem for specifications given in linear temporal single-agent epistemic logic, KLTL (or $KL_1$), over single-agent systems having imperfect information of the environment state. Van der Meyden and…

Logic in Computer Science · Computer Science 2014-05-05 Rodica Bozianu , Catalin Dima , Emmanuel Filiot

Rational verification refers to the problem of checking which temporal logic properties hold of a concurrent multiagent system, under the assumption that agents in the system choose strategies that form a game-theoretic equilibrium.…

Logic in Computer Science · Computer Science 2022-07-19 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

Synthesis of correct by design systems from specification has recently attracted much attention. The theoretical results imply that this problem is highly intractable, e.g., synthesizing a system is 2EXPTIME-complete for an LTL…

Formal Languages and Automata Theory · Computer Science 2012-05-07 John Fearnley , Doron Peled , Sven Schewe

Satisfiability checking for Linear Temporal Logic (LTL) is a fundamental step in checking for possible errors in LTL assertions. Extant LTL satisfiability checkers use a variety of different search procedures. With the sole exception of LTL…

Logic in Computer Science · Computer Science 2014-04-30 Jianwen Li , Geguang Pu , Lijun Zhang , Moshe Y. Vardi , Jifeng He

Constant-rate multi-mode systems (MMS) are hybrid systems with finitely many modes and real-valued variables that evolve over continuous time according to mode-specific constant rates. We introduce a variant of linear temporal logic (LTL)…

Logic in Computer Science · Computer Science 2023-04-28 Michael Blondin , Philip Offtermatt , Alex Sansfaçon-Buchanan

We introduce a generic extension of the popular branching-time logic CTL which refines the temporal until and release operators with formal languages. For instance, a language may determine the moments along a path that an until property…

Logic in Computer Science · Computer Science 2015-05-19 Roland Axelsson , Matthew Hague , Stephan Kreutzer , Martin Lange , Markus Latte

We propose a signal temporal logic (STL)-based framework that rigorously verifies the feasibility of a mission described in STL and synthesizes control to safely execute it. The proposed framework ensures safe and reliable operation through…

Systems and Control · Electrical Eng. & Systems 2026-02-27 Joonwon Choi , Kartik Anand Pant , Youngim Nam , Henry Hellmann , Karthik Nune , Inseok Hwang

We consider an extension of linear-time temporal logic (LTL) with both local and remote data constraints interpreted over a concrete domain. This extension is a natural extension of constraint LTL and the Temporal Logic of Repeating Values,…

Logic in Computer Science · Computer Science 2022-06-06 Ashwin Bhaskar

This paper develops a Multiset Rewriting language with explicit time for the specification and analysis of Time-Sensitive Distributed Systems (TSDS). Goals are often specified using explicit time constraints. A good trace is an infinite…

Computational Complexity · Computer Science 2021-09-16 Max Kanovich , Tajana Ban Kirigin , Vivek Nigam , Andre Scedrov , Carolyn Talcott

Even after the proposal of various solution algorithms, the precise computational complexity of checking whether a Conditional Temporal Network is Dynamically Controllable had still remained widely open. This issue gets settled in this…

Data Structures and Algorithms · Computer Science 2016-08-31 Massimo Cairo , Romeo Rizzi

Model checking for Halpern and Shoham's interval temporal logic HS has been recently investigated in a systematic way, and it is known to be decidable under three distinct semantics. Here, we focus on the trace-based semantics, where the…

Logic in Computer Science · Computer Science 2022-09-22 Laura Bozzelli , Adriano Peron

A saturation algorithm for collapsible pushdown systems was published in ICALP 2012. This work introduced a class of stack automata used to recognised regular sets of collapsible pushdown configurations. It was shown that these automata…

Formal Languages and Automata Theory · Computer Science 2018-05-31 Christopher Broadbent , Arnaud Carayol , Matthew Hague , Olivier Serre

We present here a SAT-based framework for LTLf (Linear Temporal Logic on Finite Traces) satisfiability checking. We use propositional SAT-solving techniques to construct a transition system for the input LTLf formula; satisfiability…

Logic in Computer Science · Computer Science 2018-11-09 Jianwen Li , Kristin Y. Rozier , Geguang Pu , Yueling Zhang , Moshe Y. Vardi

Hyperproperties generalize trace properties by expressing relations between multiple computations. Hyperpropertes include policies from information-flow security, like observational determinism or non-interference, and many other system…

Logic in Computer Science · Computer Science 2021-07-27 Bernd Finkbeiner

Unambiguous automata are nondeterministic automata in which every word has at most one accepting run. In this paper we give a polynomial-time algorithm for model checking discrete-time Markov chains against \omega-regular specifications…

Logic in Computer Science · Computer Science 2023-04-10 Christel Baier , Stefan Kiefer , Joachim Klein , David Müller , James Worrell

The value 1 problem is a decision problem for probabilistic automata over finite words: given a probabilistic automaton A, are there words accepted by A with probability arbitrarily close to 1? This problem was proved undecidable recently.…

Formal Languages and Automata Theory · Computer Science 2012-01-27 Nathanaël Fijalkow , Hugo Gimbert , Youssouf Oualhadj

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

We introduce a metric that can quantify the temporal relaxation of Signal Temporal Logic (STL) specifications and facilitate resilient control synthesis in the face of infeasibilities. The proposed metric quantifies a cumulative notion of…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Ali Tevfik Buyukkocak , Derya Aksaray
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