List of Sample Programs: Provide at least five sample programs written in the language defined by the given grammar. These programs should demonstrate various constructs and operations permissible within the language. Make sure to make a few of the programs complex (multiple statements, etc.)
Provide one (1) Simple Program with one statement, and the rest should be more complex programs (2-6 statements).
Additionally, provide two (2) examples of INVALID program, for a total of 5 valid programs, and 2 invalid programs (7 programs total).
Explanation of Grammar Rules: Explain each grammar rule in detail, describing its purpose and the language constructs it represents. Discuss how these rules define the syntax of the language and constrain the structure of valid programs.
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Derivation: For each of the sample programs provided, perform a derivation using the given grammar. Show step-by-step how each program is derived from the starting symbol . Include the sequence of productions applied at each step.
Parse Trees: Construct an Parse Trees for each of the sample programs.
Explain how the Parse Trees captures the hierarchical structure and semantics of the programs, emphasizing the relationship between nodes and the operations they represent.
Backwards Derivation: Reverse the process of derivation by starting from the Parse Trees obtained in the previous step and reconstructing the original source code for each program.
Explain how this process relates to parsing and syntax analysis, highlighting the importance of the Parse Trees as an intermediate representation.
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