L₁ {abck i, j, k EN such that i < j and j > k} L₂ = { aibi+nck : i, j, k, n € N such that i + j < n+k} = For each language decide whether it is 1. Regular. 2. Not regular, but context-free. 3. Not context-free. If you answer "Regular" for a language, you must provide an FA (DFA, NFA, NFA+e) which accepts it or a regular expression which describes it. If you answer "Not regular, but context free", you must show that the language is not regular using any method/fact seen in class and provide either a CFG which generates it or a PDA (DPDA, NPDA) which accepts it. If you answer "Not context-free", you must provide a Pumping lemma proof. You do not need to prove the correctness of any of your constructions but you should explain how they work.

L₁ {abck i, j, k EN such that i < j and j > k} L₂ = { aibi+nck : i, j, k, n € N such that i + j < n+k} = For each language decide whether it is 1. Regular. 2. Not regular, but context-free. 3. Not context-free. If you answer "Regular" for a language, you must provide an FA (DFA, NFA, NFA+e) which accepts it or a regular expression which describes it. If you answer "Not regular, but context free", you must show that the language is not regular using any method/fact seen in class and provide either a CFG which generates it or a PDA (DPDA, NPDA) which accepts it. If you answer "Not context-free", you must provide a Pumping lemma proof. You do not need to prove the correctness of any of your constructions but you should explain how they work.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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