Rewrite the grammar to eliminate the EBNF brace and bracket metasymbols and to incorporate the…

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You must rewrite the grammar to eliminate the EBNF brace and bracket metasymbols and to

incorporate the significance of parentheses, operator precedence and associativity for all

operators. Among arithmetic operators the exponentiation operator has highest precedence

following by the multiplying operators and then the adding operators. All relational operators

have the same precedence. Among the binary logical operators, and has higher precedence than

or. Of the categories of operators, the unary logical operator has highest precedence, the

arithmetic operators have next highest precedence, followed by the relational operators and

finally the binary logical operators. All operators except the exponentiation operator are left

associative. The directives to specify precedence and associativity, such as %prec and %left,

may not be used

Your parser should be able to correctly parse any syntactically correct program without any

problem.

You must modify the syntactic analyzer to detect and recover from additional syntax errors using

the semicolon as the synchronization token. To accomplish detecting additional errors an error

production must be added to the function header and another to the variable declaration.

Your bison input file should not produce any shift/reduce or reduce/reduce errors. Eliminating

them can be difficult so the best strategy is not introduce any. That is best achieved by making

small incremental additions to the grammar and ensuring that no addition introduces any such

errors.

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