Non-Regular Languages and the Pumping Lemma
Dive into the world of regular and non-regular languages, exploring the concept of the pumping lemma. Learn about different types of non-regular languages and why some languages require an infinite number of states to be represented by a finite automaton. Find out why mathematical proofs are essenti
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Equivalence of Regular Expressions and Finite Automata
Regular expressions are an algebraic method to describe languages, specifically the regular languages. They are defined recursively based on symbols and operations such as concatenation and closure. Precedence rules and examples are also provided. The equivalence between regular expressions and fini
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Game Theory Lecture 7: Repeated Games and Equilibria
Exploring the concept of repeated games in game theory, this lecture covers infinitely repeated games, Nash and subgame-perfect equilibria, strategies, a Grim Trigger Strategy in the Prisoner's Dilemma, and automaton representation. Understanding how interactions evolve over time offers insights int
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Runtime Recovery of Web Applications under Zero-Day ReDoS Attacks
This detailed content discusses the critical issue of Runtime Recovery of Web Applications facing Zero-Day ReDoS Attacks. It delves into the significance of regular expressions (regex) in handling HTTP requests, highlighting vulnerabilities and real-world impacts. The research emphasizes the severit
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Alternative Cellular Avalanche Model for Solar Flares
Exploring an alternative cellular avalanche model based on the maximum release of energy during solar flares, this research delves into optimizing models to study the quasi-static evolution of coronal magnetic fields. Through a series of image objects and studies, the study presents various cellular
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Insight into Cellular Automaton Universe and Cosmic Sound Wave
This concept paper offers new insight into modeling cosmology through a Cellular Automaton Universe, discussing quantization in astronomy, the definition and application of cellular automata, and the possibility of using solitons to model the cosmic sound wave. Diving into the realms of astrophysics
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Lexical Analysis
Regular Expressions (REs) play a crucial role in describing regular languages, with the ability to convert any RE into a Deterministic Finite Automaton (DFA). This conversion enables the automation of lexical analysis, a fundamental aspect of language processing. Explore the implementation of REs th
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Understanding Probabilistic Automaton and Its Applications
Explore the concept of probabilistic automaton, its extensions, and how it is utilized in modeling asynchronous systems, communication protocols, and more. Learn about stochastic languages, distributions over strings, and the practical uses of probabilistic automata.
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Overview of LTL Model Checking and Program Verification
This overview delves into the abstract models of programs, temporal properties verification through model checking, runtime properties like Hoare triples, linear temporal logic, finite state automaton abstraction, program composition modeling, intersection concept, and parallel composition in the co
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Understanding CLR(1) Parsing Tables and LR(1) Automaton
Explore the construction of CLR(1) parsing tables, LR(1) sets of items, LR(1) versus SLR parser, and review of LR(1) automaton. Learn why LR(1) parsers are preferred over SLR parsers despite the trade-offs involved.
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Automata Approaches for Palindromic Subsequence Problems
Explore palindromic subsequence automata and the longest common palindromic subsequence in computational mathematics, featuring efficient algorithms and a novel weighted finite automaton for solving the problem. The paper presents PSA construction and discusses the input alphabet and transition func
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