A cookbook for temporal conceptual data modelling with description logics

A Artale, R Kontchakov, V Ryzhikov… - ACM Transactions on …, 2014 - dl.acm.org
We design temporal description logics (TDLs) suitable for reasoning about temporal
conceptual data models and investigate their computational complexity. Our formalisms are …

LTL on finite and process traces: complexity results and a practical reasoner

V Fionda, G Greco - Journal of Artificial Intelligence Research, 2018 - jair.org
Linear temporal logic (LTL) is a modal logic where formulas are built over temporal
operators relating events happening in different time instants. According to the standard …

The complexity of LTL on finite traces: Hard and easy fragments

V Fionda, G Greco - Proceedings of the AAAI Conference on Artificial …, 2016 - ojs.aaai.org
This paper focuses on LTL on finite traces (LTLf) for which satisfiability is known to be
PSPACE-complete. However, little is known about the computational properties of fragments …

The complexity of clausal fragments of LTL

A Artale, R Kontchakov, V Ryzhikov… - Logic for Programming …, 2013 - Springer
We introduce and investigate a number of fragments of propositional temporal logic LTL
over the flow of time (ℤ,<). The fragments are defined in terms of the available temporal …

Parameterized complexity of weighted satisfiability problems: Decision, enumeration, counting

N Creignou, H Vollmer - Fundamenta Informaticae, 2015 - content.iospress.com
We consider the weighted satisfiability problem for Boolean circuits and propositional
formulæ, where the weight of an assignment is the number of variables set to true. We study …

Weak Kripke structures and LTL

L Kuhtz, B Finkbeiner - International Conference on Concurrency Theory, 2011 - Springer
We revisit the complexity of the model checking problem for formulas of linear-time temporal
logic (LTL). We show that the classic PSPACE-hardness result is actually limited to a …

Automatic trace generation for signal temporal logic

P Prabhakar, R Lal, J Kapinski - 2018 IEEE Real-Time Systems …, 2018 - ieeexplore.ieee.org
In this work, we present a novel technique to automatically generate satisfying and violating
traces for a Signal Temporal Logic (STL) formula. STL is a logic whose formulas are …

Synchronous Team Semantics for Temporal Logics

A Krebs, A Meier, J Virtema, M Zimmermann - arXiv preprint arXiv …, 2024 - arxiv.org
We present team semantics for two of the most important linear and branching time
specification languages, Linear Temporal Logic (LTL) and Computation Tree Logic (CTL) …

[HTML][HTML] The complexity of satisfiability for fragments of hybrid logic—Part I

A Meier, M Mundhenk, T Schneider, M Thomas… - Journal of Applied …, 2010 - Elsevier
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 …

The complexity of reasoning for fragments of autoepistemic logic

N Creignou, A Meier, H Vollmer… - ACM Transactions on …, 2012 - dl.acm.org
Autoepistemic logic extends propositional logic by the modal operator L. A formula φ that is
preceded by an L is said to be “believed.” The logic was introduced by Moore in 1985 for …