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Understanding 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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Understanding 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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