Boolean Algebra: Operations and Laws
Master Boolean algebra, the mathematical foundation for digital logic. Learn operations, laws, and how to simplify Boolean expressions.
Level-2
Boolean Functions and Minimization
Master Boolean function minimization using Karnaugh maps and algebraic methods. Learn to optimize logic expressions for efficient circuit design.
Chomsky Hierarchy
Understand the Chomsky hierarchy, which classifies formal languages by their computational power. Learn the four levels and their properties.
Completeness and Soundness
Master completeness and soundness theorems. Learn how proof systems relate to model theory and why these properties are fundamental.
Complexity Classes and NP-Completeness
Master complexity classes and NP-completeness. Learn how to classify problems by computational difficulty and prove NP-completeness.
Computability and Decidability
Master computability and decidability theory. Learn what problems are computable, decidable, and undecidable, and their implications.
Context-Free Grammars (CFG)
Master context-free grammars, a powerful formalism for defining languages. Learn grammar rules, derivations, and applications in parsing and language design.
Deterministic vs Non-Deterministic Automata
Understand the differences and equivalence between deterministic and non-deterministic automata. Learn when to use each and how to convert between them.
Finite Automata: DFA and NFA
Master finite automata theory. Learn about deterministic and non-deterministic finite automata, their construction, and equivalence.
Formal Languages: Alphabets, Strings, and Languages
Master the foundations of formal languages. Learn about alphabets, strings, and how formal languages are defined and manipulated.
Formal Semantics
Master formal semantics, which studies the meaning of formal languages. Learn denotational, operational, and axiomatic semantics.
Language Recognition and Acceptance
Master language recognition and acceptance. Learn how automata recognize languages and the fundamental concepts of acceptance and rejection.
Model Theory Basics
Master the fundamentals of model theory. Learn about models, interpretations, satisfiability, and the relationship between syntax and semantics.
Parsing and Syntax Analysis
Master parsing and syntax analysis techniques. Learn how to analyze the structure of strings and build parse trees from input.
Pushdown Automata
Master pushdown automata, which extend finite automata with a stack. Learn how PDAs recognize context-free languages.
Regular Expressions and Regular Languages
Master regular expressions and regular languages. Learn pattern matching, regex syntax, and the relationship between regular expressions and finite automata.
Satisfiability and Validity
Master satisfiability and validity in formal logic. Learn how to determine if formulas are satisfiable, valid, or unsatisfiable.
Turing Machines: Computation Model
Master Turing machines, the most powerful computational model. Learn how Turing machines work and their role in computability theory.