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Context-free languages

Official AQA 7517 section 4.4.3.

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Objectives

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36 min

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AqaA LevelComputer ScienceTheory of computation

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Backus-Naur Form (BNF)/syntax diagrams1 objectives
  • Backus-Naur Form (BNF)/syntax diagrams: Be able to check language syntax by referring to BNF or syntax diagrams and formulate simple production rules. Be able to explain why BNF can represent some languages that cannot be represented using regular expressions.

Key terms

Production ruleRecursive rule

Exam tips

  • Trace every alternative: When checking a string against BNF or a syntax diagram, follow the rules from the start symbol and consider each alternative and optional route.

Common mistakes

  • Forgetting the stopping case: Include a base alternative, such as a single terminal or empty, so that a complete string can be generated.

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