Semester 5Year 3 · OddCore Subject★★★★★ Hard
CS 503

Theory of Computation

BCA Semester 5 · National Institute of Technology Visakhapatnam, Visakhapatnam

Study of automata, formal languages, computability, and complexity theory.

This Theory of Computation syllabus is mapped to the Bachelor of Computer Applications (BCA) curriculum followed at National Institute of Technology Visakhapatnam (NITV), a government institution in Visakhapatnam, accredited by NAAC A+ & NBA & AICTE. Students at NITV can use the unit-wise topics, PYQs and exam tips below to prepare for their Semester 5 CS 503 examination.

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4
Units
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26
Topics
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4
Credits
⏱️
60h
Lecture hrs
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100
Max marks
Your Progress
0 / 26 topics
0% complete
Overview
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Why it matters
TOC answers 'What can computers compute?' and 'How fast?'. Understanding P vs NP, decidability, and automata is fundamental to computer science theory. Regex, compilers, parsers — all rooted here.
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Placement relevance
Less direct placement impact but CRITICAL for GATE CSE (12-15 marks). Core companies may test automata. Essential theoretical foundation for advanced CS.
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Prerequisites for
Compiler Design · Formal Methods · Cryptography · Complexity Theory · Research in CS
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Recommended books
Introduction to the Theory of Computation by Michael Sipser · Introduction to Automata Theory by Hopcroft, Ullman · Theory of Computer Science by K.L.P. Mishra
Curriculum — 4 Units
U1
Unit 1 · 7 Topics · 0% complete
Finite Automata
⚡ Key Formulae
DFA:5-tuple: (Q, Σ, δ, q0, F)
NFA to DFA:Power set construction: 2^n states maximum
Pumping Lemma:For regular L, ∃p: if |w|≥p, then w=xyz where |xy|≤p, |y|>0, xy^iz∈L
DFA
NFA
NFA to DFA Conversion
Minimization of DFA
Regular Expressions
Regular Languages
Pumping Lemma for Regular
U2
Unit 2 · 7 Topics · 0% complete
Context-Free Grammars
⚡ Key Formulae
CFG:4-tuple: (V, T, P, S)
PDA:7-tuple: (Q, Σ, Γ, δ, q0, Z0, F)
CFG Basics
Derivations
Parse Trees
Ambiguity
Chomsky Normal Form
Pushdown Automata
Pumping Lemma for CFL
U3
Unit 3 · 6 Topics · 0% complete
Turing Machines
⚡ Key Formulae
TM:7-tuple: (Q, Σ, Γ, δ, q0, qaccept, qreject)
Decidable:TM halts on all inputs (accepts or rejects)
TM Definition
TM Variants
Church-Turing Thesis
Decidability
Halting Problem
Reducibility
U4
Unit 4 · 6 Topics · 0% complete
Complexity Theory
⚡ Key Formulae
P vs NP:P ⊆ NP; P = NP is unsolved
NP-Complete:In NP AND all NP problems reduce to it
P Class
NP Class
NP-Complete
NP-Hard
Cook's Theorem
Reductions
Previous Year Questions
Unit 12023 · End Semester10 marks
Design a DFA that accepts strings over {0,1} where number of 0s is divisible by 3. Convert it to regular expression.
Unit 32022 · End Semester8 marks
Prove that the Halting Problem is undecidable using reduction technique.
Exam Strategy
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Draw state diagrams
DFA/NFA questions need clear state diagrams. Label states (q0, q1...), transitions (0,1), final states (double circle). Neat diagrams = better grades.
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Master conversions
NFA→DFA, RE→NFA, CFG→CNF — these conversions are 40% of exam. Practice step-by-step procedures. Show all intermediate steps.
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Pumping Lemma proofs
Prove language is NOT regular/CFL using pumping lemma. Choose string carefully, show contradiction for all decompositions. Common exam question.
Related Subjects
Semester 5
Compiler Design
CS 502
Semester 3
Discrete Mathematics
MATH 201
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