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In this note, we provide complexity characterizations of model checking multi-pushdown systems. Multi-pushdown systems model recursive concurrent programs in which any sequential process has a finite control. We consider three standard…

Logic in Computer Science · Computer Science 2012-12-10 Kshitij Bansal , Stéphane Demri

Model-checking the alternating-time temporal logics ATL and ATL* with incomplete information is undecidable for perfect recall semantics. However, when restricting to memoryless strategies the model-checking problem becomes decidable. In…

Computer Science and Game Theory · Computer Science 2013-07-18 Steen Vester

We study the reactive synthesis problem (RS) for specifications given in Metric Interval Temporal Logic (MITL). RS is known to be undecidable in a very general setting, but on infinite words only; and only the very restrictive BRRS subcase…

Logic in Computer Science · Computer Science 2016-06-24 Thomas Brihaye , Morgane Estiévenart , Gilles Geeraerts , Hsi-Ming Ho , Benjamin Monmege , Nathalie Sznajder

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

Mixed-paradigm process models integrate strengths of procedural and declarative representations like Petri nets and Declare. They are specifically interesting for process mining because they allow capturing complex behaviour in a compact…

Formal Languages and Automata Theory · Computer Science 2020-11-30 Boudewijn van Dongen , Johannes De Smedt , Claudio Di Ciccio , Jan Mendling

Probabilistic timed automata (PTAs) are timed automata (TAs) extended with discrete probability distributions.They serve as a mathematical model for a wide range of applications that involve both stochastic and timed behaviours. In this…

Formal Languages and Automata Theory · Computer Science 2018-06-14 Hongfei Fu , Yi Li , Jianlin Li , Lijun Zhang

Model transformations are central to MDE, but formal verification is difficult because mainstream transformation languages are undecidable. DSLTrans was designed to be Turing-incomplete to improve verifiability, yet earlier verification…

Software Engineering · Computer Science 2026-04-24 Levi Lucio

Declarative Distributed Systems (DDSs) are distributed systems grounded in logic programming. Although DDS model-checking is undecidable in general, we detect decidable cases by tweaking the data-source bounds, the message expressiveness,…

Logic in Computer Science · Computer Science 2023-08-22 Francesco Di Cosmo

We consider formal verification of recursive programs with resource consumption. We introduce prefix replacement systems with non-negative integer counters which can be incremented and reset to zero as a formal model for such programs. In…

Logic in Computer Science · Computer Science 2015-07-01 Martin Lang , Christof Löding

Probabilistic pushdown automata (pPDA) are a standard operational model for programming languages involving discrete random choices and recursive procedures. Temporal properties are useful for specifying the chronological order of events…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Tobias Winkler , Christina Gehnen , Joost-Pieter Katoen

Many problems can be specified by patterns of propositional formulae depending on a parameter, e.g. the specification of a circuit usually depends on the number of bits of its input. We define a logic whose formulae, called "iterated…

Logic in Computer Science · Computer Science 2010-01-26 Vincent Aravantinos , Ricardo Caferra , Nicolas Peltier

The general/finite PCTL satisfiability problem asks whether a given PCTL formula has a general/finite model. We show that the finite PCTL satisfiability problem is undecidable, and the general PCTL satisfiability problem is even highly…

Logic in Computer Science · Computer Science 2024-04-17 Miroslav Chodil , Antonín Kučera

Process reward models (PRMs) enhance complex reasoning in large language models (LLMs) by evaluating candidate solutions step-by-step and selecting answers based on aggregated step scores. While effective in domains such as mathematics,…

Computation and Language · Computer Science 2026-01-26 Lei Tang , Wei Zhou , Mohsen Mesgar

Propositional Projection Temporal Logic (PPTL) is a useful formalism for reasoning about period of time in hardware and software systems and can handle both sequential and parallel compositions. In this paper, based on discrete time Markov…

Logic in Computer Science · Computer Science 2010-11-08 Xiaoxiao Yang

There exist several approaches to infer runtime or resource bounds for integer programs automatically. In this paper, we study the subclass of periodic rational solvable loops (prs-loops), where questions regarding the runtime and the size…

Logic in Computer Science · Computer Science 2025-08-13 Nils Lommen , Éléanore Meyer , Jürgen Giesl

Lifelong learning capabilities are crucial for sentiment classifiers to process continuous streams of opinioned information on the Web. However, performing lifelong learning is non-trivial for deep neural networks as continually training of…

Computation and Language · Computer Science 2021-06-22 Binzong Geng , Min Yang , Fajie Yuan , Shupeng Wang , Xiang Ao , Ruifeng Xu

This paper addresses the problem of improving response times of robots implemented in the Robotic Operating System (ROS) using formal verification of computational-time feasibility. In order to verify the real time behaviour of a robot…

Robotics · Computer Science 2016-11-11 Mohammed Y. Hazim , Hongyang Qu , Sandor M. Veres

We investigate the impact of non-regular path expressions on the decidability of satisfiability checking and querying in description logics extending ALC. Our primary objects of interest are ALCreg and ALCvpl, the extensions of with path…

Logic in Computer Science · Computer Science 2024-08-07 Bartosz Bednarczyk

We describe a business workflow case study with abnormal behavior management (i.e. recovery) and demonstrate how temporal logics and model checking can provide a methodology to iteratively revise the design and obtain a correct-by…

Software Engineering · Computer Science 2014-06-06 Luca Ferrucci , Marcello M. Bersani , Manuel Mazzara

We study the problem of formalizing and checking probabilistic hyperproperties for models that allow nondeterminism in actions. We extend the temporal logic \HyperPCTL, which has been previously introduced for discrete-time Markov chains,…

Logic in Computer Science · Computer Science 2020-07-17 Erika Abraham , Ezio Bartocci , Borzoo Bonakdarpour , Oyendrila Dobe
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