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In the paper, we study behavior of discrete dynamical systems (automata) w.r.t. transitivity; that is, speaking loosely, we consider how diverse may be behavior of the system w.r.t. variety of word transformations performed by the system:…

Dynamical Systems · Mathematics 2014-03-05 Vladimir Anashin

In this work, we introduce DeepDFA, a novel approach to identifying Deterministic Finite Automata (DFAs) from traces, harnessing a differentiable yet discrete model. Inspired by both the probabilistic relaxation of DFAs and Recurrent Neural…

Machine Learning · Computer Science 2024-08-19 Elena Umili , Roberto Capobianco

We define a language-independent model of nondeterministic quantum programs in which a quantum program consists of a finite set of quantum processes. These processes are represented by quantum Markov chains over the common state space. An…

Logic in Computer Science · Computer Science 2012-01-05 Yangjia Li , Nengkun Yu , Mingsheng Ying

We present a differentiable stack data structure that simultaneously and tractably encodes an exponential number of stack configurations, based on Lang's algorithm for simulating nondeterministic pushdown automata. We call the combination…

Computation and Language · Computer Science 2022-12-01 Brian DuSell , David Chiang

The "Ping-Pong" (PP) protocol is a two-way quantum key protocol based on entanglement. In this protocol, Bob prepares one maximally entangled pair of qubits, and sends one qubit to Alice. Then, Alice performs some necessary operations on…

Quantum Physics · Physics 2014-05-14 Yun-Guang Han , Zhen-Qiang Yin , Hong-Wei Li , Wei Chen , Shuang Wang , Guang-Can Guo , Zheng-Fu Han

Deciding termination is a fundamental problem in the analysis of probabilistic imperative programs. We consider the qualitative and quantitative probabilistic termination problems for an imperative programming model with discrete…

Logic in Computer Science · Computer Science 2024-07-25 Rupak Majumdar , V. R. Sathiyanarayana

Non-repudiation protocols have an important role in many areas where secured transactions with proofs of participation are necessary. Formal methods are clever and without error, therefore using them for verifying such protocols is crucial.…

Logic in Computer Science · Computer Science 2007-10-22 Francis Klay , Judson Santiago , Laurent Vigneron

History-deterministic automata are a restricted class of nondeterministic automata where the nondeterminism while reading an input can be resolved successfully based on the prefix read so far. History-deterministic automata are…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Keya Prakash

Cybersecurity demands rigorous and scalable techniques to ensure system correctness, robustness, and resilience against evolving threats. Automated reasoning, encompassing formal logic, theorem proving, model checking, and symbolic…

Cryptography and Security · Computer Science 2025-05-14 Sarah Veronica

We propose Pushdown Normal Form (PDNF) Bisimulation to verify contextual equivalence in higher-order functional programming languages with local state. Similar to previous work on Normal Form (NF) bisimulation, PDNF Bisimulation is sound…

Programming Languages · Computer Science 2023-11-03 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

Aiming for strong security assurance, recently there has been an increasing interest in formal verification of cryptographic constructions. This paper presents a mechanised formal verification of the popular Pedersen commitment protocol,…

Cryptography and Security · Computer Science 2019-01-17 Roberto Metere , Changyu Dong

We study the problem of completely automatically verifying uninterpreted programs---programs that work over arbitrary data models that provide an interpretation for the constants, functions and relations the program uses. The verification…

Programming Languages · Computer Science 2020-08-27 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

Uncertain information is being taken into account in an increasing number of application fields. In the meantime, abduction has been proved a powerful tool for handling hypothetical reasoning and incomplete knowledge. Probabilistic logical…

Artificial Intelligence · Computer Science 2022-02-04 Elena Bellodi , Marco Gavanelli , Riccardo Zese , Evelina Lamma , Fabrizio Riguzzi

The Extensible Markup Language (XML) is a complex language, and consequently, XML-based protocols are susceptible to entire classes of implicit and explicit security problems. Message formats in XML-based protocols are usually specified in…

Cryptography and Security · Computer Science 2016-03-28 Harald Lampesberger

A classical theorem states that the set of languages given by a pushdown automaton coincides with the set of languages given by a context-free grammar. In previous work, we proved the pendant of this theorem in a setting with interaction:…

Logic in Computer Science · Computer Science 2023-09-15 Jos C. M. Baeten , Bas Luttik

When used as verifiers in Arthur-Merlin systems, two-way quantum finite automata can verify membership in all languages with bounded error with double-exponential expected running time, which cannot be achieved by their classical…

Formal Languages and Automata Theory · Computer Science 2025-02-19 Zeyu Chen , Abuzer Yakaryılmaz

The question whether P equals NP revolves around the discrepancy between active production and mere verification by Turing machines. In this paper, we examine the analogous problem for finite transducers and automata. Every nondeterministic…

Computational Complexity · Computer Science 2021-05-03 Elisabet Burjons , Fabian Frei , Martin Raszyk

This article introduces a fully automated verification technique that permits to analyze real-time systems described using a continuous notion of time and a mixture of operational (i.e., automata-based) and descriptive (i.e., logic-based)…

Logic in Computer Science · Computer Science 2013-08-14 Carlo A. Furia , Matteo Pradella , Matteo Rossi

We compare pushdown automata (PDAs for short) against other representations. First, we show that there is a family of PDAs over a unary alphabet with $n$ states and $p \geq 2n + 4$ stack symbols that accepts one single long word for which…

Formal Languages and Automata Theory · Computer Science 2017-06-27 Pierre Ganty , Elena Gutiérrez

Discounting the influence of future events is a key paradigm in economics and it is widely used in computer-science models, such as games, Markov decision processes (MDPs), reinforcement learning, and automata. While a single game or MDP…

Logic in Computer Science · Computer Science 2025-06-11 Udi Boker , Guy Hefetz
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