Ch 8. Automata and Grammars
Learning Objectives
By the end of this chapter, students should be able to:
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Define and analyze alphabets, strings, derivations, and grammar equivalence.
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Use Context-Free Grammars (CFGs) and Backus-Naur Form (BNF) to describe, generate, and validate structured languages.
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Model computational systems using Deterministic (DFA) and Nondeterministic (NFA) finite automata.
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Evaluate language acceptance and automata equivalence for recognizing regular languages in IT applications.
Computers work with well‑defined rules rather than natural languages, such as English and French. To help us understand how programs interpret input, recognize patterns, and control system behaviour, we use languages, grammars, and automata, the topics of this chapter. These concepts provide a precise way to describe which strings are valid and how systems process sequences of symbols.
In this chapter, you will first study languages and grammars so that you can learn how strings are generated using production rules and how grammars describe the structure of programming languages and user input. You will then explore finite state machines and automata, which model systems that move between states based on input. Together, these tools show how abstract mathematical ideas are applied directly to real‑world IT tasks such as parsing, validation, and access control.
