GC#University,#Lahore# Department#of#Computer#Science# Course#File/Syllabus# Logical##Paradigms#of#Computing# BS(Computer#Science)# Course'Information:' Course'Title:' Course'Code:' Course'Duration:' Prerequisite:'' Office'Hour:' Lecture'Textbook(s):'

Lab'Textbook:'' Reference'Book(s):'

Logical#Paradigms#of#Computing# CS#C## 3#Credit#Hours# • Discrete#Structures# 11:00#a.m#to#3:00#p.m## •

Logic in Computer Science Modelling and Reasoning about Systems 2nd Edition Michael Huth, Imperial College of Science, Technology and Medicine, London Mark Ryan, University of Birmingham, 2004

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None#

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Principles Of Model Checking by Christel Baier and Joost-Pieter Katoen MIT Press, 2008 R. Milner (1989): Communication and Concurrency, Prentice Hall C.A.R. Hoare (1985): Communicating Sequential Processes, Prentice Hall Doron Peled: Software Reliability Methods. Springer, 2001

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Course'Description:# Introduction# to# logic,# modal# logic,# propositional# and# predicate# logic# and# their# proof# theories,# relational# and# temporal# logic,# linear# time# temporal# logic# (LTL),# Computation# Tree# Logic# (CTL),# CTL*,# muCCalculus,# Introduction# to# Model# checking# and# model# checking# algorithms,# formal# program# verifications,# partial# order# correctness,# proof# calculus# for# partial# proof# rules,# introduction#to#process#algebra,#and#evolutionary#computing.# #

Course'Goals'and'Objectives' Goal'1. Propositional#logic# Objective1. Declarative#sentences## Objective2. Natural#deduction## Objective3. Propositional#logic#as#a#formal#language## Objective4. Semantics#of#propositional#logic## Objective5. Normal#forms# Goal'2. Predicate#logic# Objective1. The#need#for#a#richer#language## Objective2. Predicate#logic#as#a#formal#language## Objective3. Proof#theory#of#predicate#logic## Objective4. Semantics#of#predicate#logic## Objective5. Undecidability#of#predicate#logic# Objective6. Expressiveness#of#predicate#logic# Objective7. Micro#models#of#software# Goal'3. Verification by model checking# Objective1. Motivation#for#verification# Objective2. LinearCtime#temporal#logic#LTL# Objective3. Model#checking:#systems,#tools,#properties# Objective4. BranchingCtime#logic#CTL# Objective5. CTL*#and#the#expressive#powers#of#LTL#and#CTL# Objective6. ModelCchecking#algorithms# Objective7. The#fixedCpoint#characterisation#of#CTL# Goal'4. Program#verification# Objective1. Why#should#we#specify#and#verify#code?# Objective2. A#framework#for#software#verification# Objective3. Proof#calculus#for#partial#correctness# Objective4. Proof#calculus#for#total#correctness# Objective5. Programming#by#contract# Goal'5. Modal#logics#and#agents## Objective1. Modes#of#truth# Objective2. Basic#modal#logic# Objective3. Logic#engineering# Objective4. Natural#deduction#

Objective5. Reasoning#about#knowledge#in#a#multiCagent#system# Goal'6. Binary#decision#diagrams# Objective1. Representing#boolean#functions# Objective2. Algorithms#for#reduced#OBDDs# Objective3. Symbolic#model#checking# Objective4. A#relational#muCcalculus# Goal'7. Introduction to Process Algebra# Objective1. Modelling Communication # Objective2. Synchronisation# Objective3. Action and Transition# Objective4. Internal Actions# Objective5. Transitional Semantics# Objective6. Derivatives and Derivations Trees# Objective7. Sorts# Objective8. Value Passing Calculus# Objective9. Recursion Expressions# Objective10. Classification of combinatory and laws# Objective11. Interaction Laws#

General'Objectives:' This# course# will# teach# students# about# the# mathematical# and# logical# foundation# for# the# formulation#and#modelling#of#intelligent#systems#and#safety#critical#systems.#The#course#would# provide#the#reasoning#for#modelling#these#systems#and#their#formal#verifications.## #

Teaching'and'Learning'Strategy:' • •

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This#course#will#serve#as#an#introduction#to#formal#techniques#of#software#verification.# This#course#gives#a#survey#on#the#use#of#formal#methods#for#the#development#of#reliable# software.#More#specifically,#we#deal#with# o ####specifying#sequential#programs#and#concurrent#systems,# o ####computerCsupported#verification,# o ####model#checking.# # The#course#consists#of#two#parts:# o ####Lecture#part#where#the#fundamental#issues#of#the#field#are#taught.# o ####Practical# exercise# part# where# practical# skills# are# trained# using# freely# available# software#tools.#

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Course'Requirement:' Homework/Lab'Assignments' Several# homework# assignments# will# be# given# to# the# students.# The# results# of# homework# assignments#should#be#submitted#before#the#lecture#starts#on#the#due#date.##

Final'Exam' The# scope# of# final# exam# is# comprehensive.# The# format# will# be# announced# before# final# exam# week.#No#makeup#exam#is#allowed#unless#a#legal#document#is#provided#to#the#instructor.# #

Course'Material:# Along#with#the#above#mentioned#Textbooks#and#Reference#books#lecture#slides#will#also#be# available#from#the#department’s#file#server#or#a#custom#website#created#for#the#course.# #

Marks'Distribution'and'Grading'Model:' Semester#work:# 40%# Final#Exam:# # 60%# # Student’s# performance# will# be# evaluated# through# writing# and# practical# exams,# assignment,# quizzes#and#exercises#delivered#to#them#during#semester.# # Final#grading#is#assigned#by#the#Examination#Department.#

' Course'Policies:' Late'Assignment' No#late#assignment#is#accepted.# Academic'Dishonesty' “Cheating#or#plagiarism#in#connection#with#an#academic#program#at#a#campus#is#listed#on#the# following#web#page:#http://www.gcu.edu.pk/library/Chapter2.htm”# #

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