16 Questions
What is the defining property of context-sensitive grammars?
All rules are of the form uAw
What does the context in context-sensitive grammars refer to?
Words that cannot be changed by the rule
In what situation is a typical application of context-sensitive grammars found?
Using a variable before declaring it
What is a key implication of the property of noncontracting grammars?
Length of l is greater than that of r
How do noncontracting grammars differ from context-sensitive grammars?
Leniency in word length changes
Why are context-sensitive languages used less frequently than context-free languages?
They are more complex
Which class of languages do essentially noncontracting grammars describe?
Context-sensitive languages
Why does the proof idea for context-free languages not work for context-sensitive languages?
Context must also be considered
What is a key property that allows the word problem to be decidable for context-sensitive languages?
A production rule cannot shorten a word
Why does the equivalence problem become undecidable for context-sensitive grammars?
Different grammars can describe the same language
What is the main reason why the emptiness problem is undecidable for context-sensitive grammars?
No algorithm to check if the language contains at least one word
When attempting to create a syntax tree for a given string, what do formal grammars define?
The structure and meaning of a string
In the Chomsky hierarchy, which class of grammars defines regular languages?
Regular grammars
Why are decision problems decidable for regular languages but undecidable for context-sensitive languages?
Context-sensitive languages have more complex rules
What is the additional rule that characterizes an essentially noncontracting grammar?
S ε
Why does the pumping lemma not apply to context-sensitive languages?
The lemma requires loops which are not formed in these languages
Explore the characteristics and definitions of context-sensitive grammars, which are more complex than context-free languages. Learn about the rules and structure of context-sensitive languages, their limited usage, and the differences compared to other grammar types.
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