SlideShare a Scribd company logo
1 of 1
Download to read offline
8 Points] Pumping Lemma. In this problem, you will show that the language L={wwww{a,b,c}} s not
context-free. (a) Use the pumping Lemma to show that the language {anbanbanbn1} is not context
free. (b) Use closure properties of CFLs to conclude that L is not context-free. (Don't give a direct
proof.)

More Related Content

More from aayushmaany2k14

7 What is most true about the following B2B promotional too.pdf
7 What is most true about the following B2B promotional too.pdf7 What is most true about the following B2B promotional too.pdf
7 What is most true about the following B2B promotional too.pdfaayushmaany2k14
 
7 What do foxes and birds have in common a They are both .pdf
7 What do foxes and birds have in common a They are both .pdf7 What do foxes and birds have in common a They are both .pdf
7 What do foxes and birds have in common a They are both .pdfaayushmaany2k14
 
7 Using terms from the key on the right correctly identify.pdf
7 Using terms from the key on the right correctly identify.pdf7 Using terms from the key on the right correctly identify.pdf
7 Using terms from the key on the right correctly identify.pdfaayushmaany2k14
 
7 Using node 1 as the root perform a BFS for node 6 Detai.pdf
7 Using node 1 as the root perform a BFS for node 6 Detai.pdf7 Using node 1 as the root perform a BFS for node 6 Detai.pdf
7 Using node 1 as the root perform a BFS for node 6 Detai.pdfaayushmaany2k14
 
8 The residents of Elk Meadows and Valley View are experien.pdf
8 The residents of Elk Meadows and Valley View are experien.pdf8 The residents of Elk Meadows and Valley View are experien.pdf
8 The residents of Elk Meadows and Valley View are experien.pdfaayushmaany2k14
 
8 What would be the most possible interaction between the s.pdf
8 What would be the most possible interaction between the s.pdf8 What would be the most possible interaction between the s.pdf
8 What would be the most possible interaction between the s.pdfaayushmaany2k14
 
8 A unique structure in vertebrate embryos is the somite S.pdf
8 A unique structure in vertebrate embryos is the somite S.pdf8 A unique structure in vertebrate embryos is the somite S.pdf
8 A unique structure in vertebrate embryos is the somite S.pdfaayushmaany2k14
 
7 Kate has a utility function Uxy4xpath dM95702c.pdf
7 Kate has a utility function Uxy4xpath dM95702c.pdf7 Kate has a utility function Uxy4xpath dM95702c.pdf
7 Kate has a utility function Uxy4xpath dM95702c.pdfaayushmaany2k14
 
8 Protein synthesis begins when in the nucleus of each cell.pdf
8 Protein synthesis begins when in the nucleus of each cell.pdf8 Protein synthesis begins when in the nucleus of each cell.pdf
8 Protein synthesis begins when in the nucleus of each cell.pdfaayushmaany2k14
 
729 David is going to purchase two stocks to form the initi.pdf
729 David is going to purchase two stocks to form the initi.pdf729 David is going to purchase two stocks to form the initi.pdf
729 David is going to purchase two stocks to form the initi.pdfaayushmaany2k14
 
8 IPOsinitial public offerings of stockcreate billions of.pdf
8 IPOsinitial public offerings of stockcreate billions of.pdf8 IPOsinitial public offerings of stockcreate billions of.pdf
8 IPOsinitial public offerings of stockcreate billions of.pdfaayushmaany2k14
 
8 Agreement and disagreement among economists Suppose that .pdf
8 Agreement and disagreement among economists Suppose that .pdf8 Agreement and disagreement among economists Suppose that .pdf
8 Agreement and disagreement among economists Suppose that .pdfaayushmaany2k14
 
8 Individual and market demand Suppose that Eric and Ginny .pdf
8 Individual and market demand Suppose that Eric and Ginny .pdf8 Individual and market demand Suppose that Eric and Ginny .pdf
8 Individual and market demand Suppose that Eric and Ginny .pdfaayushmaany2k14
 
7 Initially GDP is 10 billion Consumers suddenly become .pdf
7 Initially GDP is 10 billion Consumers suddenly become .pdf7 Initially GDP is 10 billion Consumers suddenly become .pdf
7 Initially GDP is 10 billion Consumers suddenly become .pdfaayushmaany2k14
 
8 Examine the figure shown in Panels B and C What normal c.pdf
8 Examine the figure shown in Panels B and C What normal c.pdf8 Examine the figure shown in Panels B and C What normal c.pdf
8 Examine the figure shown in Panels B and C What normal c.pdfaayushmaany2k14
 
7 Equilibrium GDP Use the chart below to answer the follow.pdf
7 Equilibrium GDP Use the chart below to answer the follow.pdf7 Equilibrium GDP Use the chart below to answer the follow.pdf
7 Equilibrium GDP Use the chart below to answer the follow.pdfaayushmaany2k14
 
7 Suppose three fair dice are rolled What is the probabili.pdf
7 Suppose three fair dice are rolled What is the probabili.pdf7 Suppose three fair dice are rolled What is the probabili.pdf
7 Suppose three fair dice are rolled What is the probabili.pdfaayushmaany2k14
 
8 Essay Answer the following questions about Veblen plea.pdf
8 Essay Answer the following questions about Veblen plea.pdf8 Essay Answer the following questions about Veblen plea.pdf
8 Essay Answer the following questions about Veblen plea.pdfaayushmaany2k14
 
8 Cul de los siguientes es cierto acerca de los alimentos.pdf
8 Cul de los siguientes es cierto acerca de los alimentos.pdf8 Cul de los siguientes es cierto acerca de los alimentos.pdf
8 Cul de los siguientes es cierto acerca de los alimentos.pdfaayushmaany2k14
 
7 White eyes ww females wY males in Drosophila can be .pdf
7 White eyes ww females wY males in Drosophila can be .pdf7 White eyes ww females wY males in Drosophila can be .pdf
7 White eyes ww females wY males in Drosophila can be .pdfaayushmaany2k14
 

More from aayushmaany2k14 (20)

7 What is most true about the following B2B promotional too.pdf
7 What is most true about the following B2B promotional too.pdf7 What is most true about the following B2B promotional too.pdf
7 What is most true about the following B2B promotional too.pdf
 
7 What do foxes and birds have in common a They are both .pdf
7 What do foxes and birds have in common a They are both .pdf7 What do foxes and birds have in common a They are both .pdf
7 What do foxes and birds have in common a They are both .pdf
 
7 Using terms from the key on the right correctly identify.pdf
7 Using terms from the key on the right correctly identify.pdf7 Using terms from the key on the right correctly identify.pdf
7 Using terms from the key on the right correctly identify.pdf
 
7 Using node 1 as the root perform a BFS for node 6 Detai.pdf
7 Using node 1 as the root perform a BFS for node 6 Detai.pdf7 Using node 1 as the root perform a BFS for node 6 Detai.pdf
7 Using node 1 as the root perform a BFS for node 6 Detai.pdf
 
8 The residents of Elk Meadows and Valley View are experien.pdf
8 The residents of Elk Meadows and Valley View are experien.pdf8 The residents of Elk Meadows and Valley View are experien.pdf
8 The residents of Elk Meadows and Valley View are experien.pdf
 
8 What would be the most possible interaction between the s.pdf
8 What would be the most possible interaction between the s.pdf8 What would be the most possible interaction between the s.pdf
8 What would be the most possible interaction between the s.pdf
 
8 A unique structure in vertebrate embryos is the somite S.pdf
8 A unique structure in vertebrate embryos is the somite S.pdf8 A unique structure in vertebrate embryos is the somite S.pdf
8 A unique structure in vertebrate embryos is the somite S.pdf
 
7 Kate has a utility function Uxy4xpath dM95702c.pdf
7 Kate has a utility function Uxy4xpath dM95702c.pdf7 Kate has a utility function Uxy4xpath dM95702c.pdf
7 Kate has a utility function Uxy4xpath dM95702c.pdf
 
8 Protein synthesis begins when in the nucleus of each cell.pdf
8 Protein synthesis begins when in the nucleus of each cell.pdf8 Protein synthesis begins when in the nucleus of each cell.pdf
8 Protein synthesis begins when in the nucleus of each cell.pdf
 
729 David is going to purchase two stocks to form the initi.pdf
729 David is going to purchase two stocks to form the initi.pdf729 David is going to purchase two stocks to form the initi.pdf
729 David is going to purchase two stocks to form the initi.pdf
 
8 IPOsinitial public offerings of stockcreate billions of.pdf
8 IPOsinitial public offerings of stockcreate billions of.pdf8 IPOsinitial public offerings of stockcreate billions of.pdf
8 IPOsinitial public offerings of stockcreate billions of.pdf
 
8 Agreement and disagreement among economists Suppose that .pdf
8 Agreement and disagreement among economists Suppose that .pdf8 Agreement and disagreement among economists Suppose that .pdf
8 Agreement and disagreement among economists Suppose that .pdf
 
8 Individual and market demand Suppose that Eric and Ginny .pdf
8 Individual and market demand Suppose that Eric and Ginny .pdf8 Individual and market demand Suppose that Eric and Ginny .pdf
8 Individual and market demand Suppose that Eric and Ginny .pdf
 
7 Initially GDP is 10 billion Consumers suddenly become .pdf
7 Initially GDP is 10 billion Consumers suddenly become .pdf7 Initially GDP is 10 billion Consumers suddenly become .pdf
7 Initially GDP is 10 billion Consumers suddenly become .pdf
 
8 Examine the figure shown in Panels B and C What normal c.pdf
8 Examine the figure shown in Panels B and C What normal c.pdf8 Examine the figure shown in Panels B and C What normal c.pdf
8 Examine the figure shown in Panels B and C What normal c.pdf
 
7 Equilibrium GDP Use the chart below to answer the follow.pdf
7 Equilibrium GDP Use the chart below to answer the follow.pdf7 Equilibrium GDP Use the chart below to answer the follow.pdf
7 Equilibrium GDP Use the chart below to answer the follow.pdf
 
7 Suppose three fair dice are rolled What is the probabili.pdf
7 Suppose three fair dice are rolled What is the probabili.pdf7 Suppose three fair dice are rolled What is the probabili.pdf
7 Suppose three fair dice are rolled What is the probabili.pdf
 
8 Essay Answer the following questions about Veblen plea.pdf
8 Essay Answer the following questions about Veblen plea.pdf8 Essay Answer the following questions about Veblen plea.pdf
8 Essay Answer the following questions about Veblen plea.pdf
 
8 Cul de los siguientes es cierto acerca de los alimentos.pdf
8 Cul de los siguientes es cierto acerca de los alimentos.pdf8 Cul de los siguientes es cierto acerca de los alimentos.pdf
8 Cul de los siguientes es cierto acerca de los alimentos.pdf
 
7 White eyes ww females wY males in Drosophila can be .pdf
7 White eyes ww females wY males in Drosophila can be .pdf7 White eyes ww females wY males in Drosophila can be .pdf
7 White eyes ww females wY males in Drosophila can be .pdf
 

Recently uploaded

Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptxExploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptxPooja Bhuva
 
What is 3 Way Matching Process in Odoo 17.pptx
What is 3 Way Matching Process in Odoo 17.pptxWhat is 3 Way Matching Process in Odoo 17.pptx
What is 3 Way Matching Process in Odoo 17.pptxCeline George
 
Interdisciplinary_Insights_Data_Collection_Methods.pptx
Interdisciplinary_Insights_Data_Collection_Methods.pptxInterdisciplinary_Insights_Data_Collection_Methods.pptx
Interdisciplinary_Insights_Data_Collection_Methods.pptxPooja Bhuva
 
Understanding Accommodations and Modifications
Understanding  Accommodations and ModificationsUnderstanding  Accommodations and Modifications
Understanding Accommodations and ModificationsMJDuyan
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Jisc
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024Elizabeth Walsh
 
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdfUGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdfNirmal Dwivedi
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxRamakrishna Reddy Bijjam
 
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...Pooja Bhuva
 
Towards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptxTowards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptxJisc
 
dusjagr & nano talk on open tools for agriculture research and learning
dusjagr & nano talk on open tools for agriculture research and learningdusjagr & nano talk on open tools for agriculture research and learning
dusjagr & nano talk on open tools for agriculture research and learningMarc Dusseiller Dusjagr
 
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSAnaAcapella
 
Economic Importance Of Fungi In Food Additives
Economic Importance Of Fungi In Food AdditivesEconomic Importance Of Fungi In Food Additives
Economic Importance Of Fungi In Food AdditivesSHIVANANDaRV
 
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...EADTU
 
Play hard learn harder: The Serious Business of Play
Play hard learn harder:  The Serious Business of PlayPlay hard learn harder:  The Serious Business of Play
Play hard learn harder: The Serious Business of PlayPooky Knightsmith
 
Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111GangaMaiya1
 
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfFICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfPondicherry University
 
How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17Celine George
 
OSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsOSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsSandeep D Chaudhary
 

Recently uploaded (20)

Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptxExploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
Exploring_the_Narrative_Style_of_Amitav_Ghoshs_Gun_Island.pptx
 
What is 3 Way Matching Process in Odoo 17.pptx
What is 3 Way Matching Process in Odoo 17.pptxWhat is 3 Way Matching Process in Odoo 17.pptx
What is 3 Way Matching Process in Odoo 17.pptx
 
Interdisciplinary_Insights_Data_Collection_Methods.pptx
Interdisciplinary_Insights_Data_Collection_Methods.pptxInterdisciplinary_Insights_Data_Collection_Methods.pptx
Interdisciplinary_Insights_Data_Collection_Methods.pptx
 
Understanding Accommodations and Modifications
Understanding  Accommodations and ModificationsUnderstanding  Accommodations and Modifications
Understanding Accommodations and Modifications
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024
 
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdfUGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
Sensory_Experience_and_Emotional_Resonance_in_Gabriel_Okaras_The_Piano_and_Th...
 
Towards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptxTowards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptx
 
dusjagr & nano talk on open tools for agriculture research and learning
dusjagr & nano talk on open tools for agriculture research and learningdusjagr & nano talk on open tools for agriculture research and learning
dusjagr & nano talk on open tools for agriculture research and learning
 
OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...
 
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPSSpellings Wk 4 and Wk 5 for Grade 4 at CAPS
Spellings Wk 4 and Wk 5 for Grade 4 at CAPS
 
Economic Importance Of Fungi In Food Additives
Economic Importance Of Fungi In Food AdditivesEconomic Importance Of Fungi In Food Additives
Economic Importance Of Fungi In Food Additives
 
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
Transparency, Recognition and the role of eSealing - Ildiko Mazar and Koen No...
 
Play hard learn harder: The Serious Business of Play
Play hard learn harder:  The Serious Business of PlayPlay hard learn harder:  The Serious Business of Play
Play hard learn harder: The Serious Business of Play
 
Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111
 
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdfFICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
 
How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17
 
OSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & SystemsOSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & Systems
 

8 Points Pumping Lemma In this problem you will show that.pdf

  • 1. 8 Points] Pumping Lemma. In this problem, you will show that the language L={wwww{a,b,c}} s not context-free. (a) Use the pumping Lemma to show that the language {anbanbanbn1} is not context free. (b) Use closure properties of CFLs to conclude that L is not context-free. (Don't give a direct proof.)