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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

A Dynamic Pushdown Network (DPN) is a set of pushdown systems (PDSs) where each process can dynamically create new instances of PDSs. DPNs are a natural model of multi-threaded programs with (possibly recursive) procedure calls and thread…

Logic in Computer Science · Computer Science 2016-11-09 Fu Song , Tayssir Touili

Pushdown Systems (PDSs) are a natural model for sequential programs with (recursive) procedure calls. In this work, we define the Branching temporal logic of CAlls and RETurns (BCARET) that allows to write branching temporal formulas while…

Formal Languages and Automata Theory · Computer Science 2018-05-15 Huu-Vu Nguyen , Tayssir Touili

Register pushdown automata (RPDA) is an extension of classical pushdown automata to handle data values in a restricted way. RPDA attracts attention as a model of a query language for structured documents with data values. The membership and…

Formal Languages and Automata Theory · Computer Science 2019-10-24 Ryoma Senda , Yoshiaki Takata , Hiroyuki Seki

Pushdown systems (PDSs) and recursive state machines (RSMs), which are linearly equivalent, are standard models for interprocedural analysis. Yet RSMs are more convenient as they (a) explicitly model function calls and returns, and (b)…

Programming Languages · Computer Science 2020-01-13 Krishnendu Chatterjee , Bernhard Kragl , Samarth Mishra , Andreas Pavlogiannis

Dynamic Pushdown Networks (DPNs) are a model for multithreaded programs with recursion and dynamic creation of threads. In this paper, we propose a temporal logic called NTL for reasoning about the call- and return- as well as thread…

Logic in Computer Science · Computer Science 2023-10-31 Roman Lakenbrink , Markus Müller-Olm , Christoph Ohrem , Jens Gutsfeld

We consider the model checking problem for probabilistic pushdown automata (pPDA) and properties expressible in various probabilistic logics. We start with properties that can be formulated as instances of a generalized random walk problem.…

Logic in Computer Science · Computer Science 2017-01-11 Javier Esparza , Antonin Kucera , Richard Mayr

We consider the model checking problem for Process Rewrite Systems (PRSs), an infinite-state formalism (non Turing-powerful) which subsumes many common models such as Pushdown Processes and Petri Nets. PRSs can be adopted as formal models…

Other Computer Science · Computer Science 2007-05-23 Laura Bozzelli

We consider the problem of model--checking for Process Rewrite Systems (PRSs) in normal form. In a PRS in normal form every rewrite rule either only deals with procedure calls and procedure termination, possibly with value return, (this…

Other Computer Science · Computer Science 2007-05-23 Laura Bozzelli

In this communication, we resolve a longstanding open question in the probabilistic verification of infinite-state systems. We show that model checking {\it stateless probabilistic pushdown systems (pBPA)} against {\it probabilistic…

Logic in Computer Science · Computer Science 2025-07-02 Deren Lin , Tianrong Lin

We introduce RLDS (Reinforcement Learning Datasets), an ecosystem for recording, replaying, manipulating, annotating and sharing data in the context of Sequential Decision Making (SDM) including Reinforcement Learning (RL), Learning from…

In this paper, we define the notion of {\em probabilistic $\omega$-pushdown automaton} and study its model-checking problem against the logic of $\omega$-probabilistic computational tree logic ($\omega$-PCTL) and its bounded version from a…

Logic in Computer Science · Computer Science 2026-04-03 Deren Lin , Tianrong Lin

Pushdown systems (PDSs) are a natural model for sequential programs, but they can fail to accurately represent the way an assembly stack actually operates. Indeed, one may want to access the part of the memory that is below the current…

Formal Languages and Automata Theory · Computer Science 2018-11-08 Adrien Pommellet , Marcio Diaz , Tayssir Touili

Probabilistic pushdown automata (pPDA) are a standard model for discrete probabilistic programs with procedures and recursion. In pPDA, many quantitative properties are characterized as least fixpoints of polynomial equation systems. In…

Formal Languages and Automata Theory · Computer Science 2023-02-28 Tobias Winkler , Joost-Pieter Katoen

Testing on reactive systems is a well-known laborious activity on software development due to their asynchronous interaction with the environment. In this setting model based testing has been employed when checking conformance and…

Software Engineering · Computer Science 2021-07-27 Adilson Luiz Bonifacio , Arnaldo Vieira Moura

We present novel algorithms solving the satisfiability problem and the model checking problem for Visibly Linear Dynamic Logic (VLDL) in asymptotically optimal time via a reduction to the emptiness problem for tree automata with B\"uchi…

Logic in Computer Science · Computer Science 2017-08-03 Alexander Weinert

We propose an approach on model checking information flow for imperative language with procedures. We characterize our model with pushdown system, which has a stack of unbounded length that naturally models the execution of procedural…

Cryptography and Security · Computer Science 2010-12-15 Cong Sun , Liyong Tang , Zhong Chen

In this paper, we study the problem of model-checking quantum pushdown systems from a computational complexity point of view. We arrive at the following equally important, interesting new results: We first extend the notions of the {\it…

Logic in Computer Science · Computer Science 2026-05-11 Deren Lin , Tianrong Lin

We present POPACheck, the first model checking tool for probabilistic Pushdown Automata (pPDA) supporting temporal logic specifications. POPACheck provides a user-friendly probabilistic modeling language with recursion that automatically…

Logic in Computer Science · Computer Science 2025-06-05 Francesco Pontiggia , Ezio Bartocci , Michele Chiari

Concurrent accesses to databases are typically encapsulated in transactions in order to enable isolation from other concurrent computations and resilience to failures. Modern databases provide transactions with various semantics…

Programming Languages · Computer Science 2021-01-25 Sidi Mohamed Beillahi , Ahmed Bouajjani , Constantin Enea
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