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what is ambiguity in compiler design

by Brandon Wolff Published 3 years ago Updated 2 years ago

What is ambiguity in compiler design? Ambiguity. A grammar is said to be ambiguous if there exists more than one leftmost derivation or more than one rightmost derivative or more than one parse tree for the given input string. If the grammar is not ambiguous then it is called unambiguous. Click to see full answer.

A grammar is said to be ambiguous if there exists more than one left most derivation or more than one right most derivation or more than one parse tree for a given input string. If the grammar is not ambiguous then we call it unambiguous grammar
unambiguous grammar
In computer science, an ambiguous grammar is a context-free grammar for which there exists a string that can have more than one leftmost derivation or parse tree, while an unambiguous grammar is a context-free grammar for which every valid string has a unique leftmost derivation or parse tree.
https://en.wikipedia.org › wiki › Ambiguous_grammar
. If the grammar has ambiguity then it is good for compiler construction.
Jun 12, 2021

Full Answer

What is ambiguous grammar in compiler design?

A grammar is said to be ambiguous if there exists more than one leftmost derivation or more than one rightmost derivative or more than one parse tree for the given input string. If the grammar is not ambiguous then it is called unambiguous. Click to see full answer. Moreover, what is unambiguous grammar in compiler design?

What is ambiguity in CFG?

Ambiguity in CFG Something when having more meaning and confusion occurs when select appropriate mean for the selected condition called Ambiguity . If a Context-Free Grammar can be drawn with more than one form then the ambiguity occurs.

How to eliminate ambiguity in grammar or its language?

With the use of associativity of the operator and precedence of the operator, the ambiguity in grammar or its language can be eliminated. A grammar is said to be left recursive if it has any non–terminal, say A, and there is a derivation starting from that non-terminal such that A => Aa for some string a.

How do you prove that a language is inherently ambiguous?

Let L be a Context Free Language (CFL). If every Context Free Grammar G with Language L = L (G) is ambiguous, then L is said to be inherently ambiguous Language. Ambiguity is a property of grammar not languages.

What do u mean by ambiguity?

Definition of ambiguity 1a : the quality or state of being ambiguous especially in meaning The ambiguity of the poem allows several interpretations. b : a word or expression that can be understood in two or more possible ways : an ambiguous word or expression. 2 : uncertainty.

What is ambiguity in programming?

A grammar is said to be ambiguous if there exists more than one leftmost derivation or more than one rightmost derivative or more than one parse tree for the given input string.

What is ambiguity in CFG?

A CFG is ambiguous if one or more terminal strings have multiple leftmost derivations from the start symbol. Equivalently: multiple rightmost derivations, or multiple parse trees.

What is the ambiguity error?

Ambiguity errors occur when erasure causes two seemingly distinct generic declarations to resolve to the same erased type, causing a conflict.

What is ambiguity in syntax?

Syntactic ambiguity, also called structural ambiguity, amphiboly or amphibology, is a situation where a sentence may be interpreted in more than one way due to ambiguous sentence structure.

What is ambiguity in fuzzy logic?

Ambiguity is the possibility of having more than one answer. If something is ambiguous, it means it might have more than one answer or more than one solution to the problem.

Is every CFG is ambiguous?

Solution : (A) is correct because for ambiguous CFL's, all CFG corresponding to it are ambiguous. (B) is also correct as unambiguous CFG has a unique parse tree for each string of the language generated by it.

How do you solve ambiguity in CFG?

Methods To Remove Ambiguity-By fixing the grammar.By adding grouping rules.By using semantics and choosing the parse that makes the most sense.By adding the precedence rules or other context sensitive parsing rules.

What is ambiguous and unambiguous grammar?

In computer science, an ambiguous grammar is a context-free grammar for which there exists a string that can have more than one leftmost derivation or parse tree, while an unambiguous grammar is a context-free grammar for which every valid string has a unique leftmost derivation or parse tree.

What is ambiguity in function overloading?

When the compiler is unable to decide which function it should invoke first among the overloaded functions, this situation is known as function overloading ambiguity. The compiler does not run the program if it shows ambiguity error.

How do you correct ambiguity?

Expansion: Adding a word or two to the sentence can remove ambiguity. He finished the race last Thursday. ---> He finished the race on last Thursday.

Left Recursion

A grammar is said to be left recursive if it has any non–terminal, say A, and there is a derivation starting from that non-terminal such that A => Aa for some string a. We should know that the top-down parser cannot handle left–recursive grammar.

Limitations of Syntax Analyzers

The tokens from the lexical analyzer are the input for syntax analysis. A lexical analyzer checks the validity of the token. Syntax analyzer has the following drawback:

What is CFG in programming?

CFG is a helpful tool in describing the syntax of programming languages.

What is a non terminal?

Non-terminals are syntactic variables that denote sets of strings. The non-terminals define sets of strings that help define the language generated by the grammar. A set of tokens, known as terminal symbols (Σ). Terminals are the basic symbols from which strings are formed. A set of productions (P).

Can a top down parser make a choice as to which production it should take to parse the

If more than one grammar production rules has a common prefix string, then the top-down parser cannot make a choice as to which of the production it should take to parse the string in hand.

What is G = in CFG?

Definition: G = (V,T,P,S) is a CFG is said to be ambiguous if and only if there exist a string in T* that has more than on parse tree. where V is a finite set of variables. T is a finite set of terminals.

Is ambiguity a property of grammar?

Ambiguity is a property of gramm ar not languages. Ambiguous grammar is unlikely to be useful for a programming language, because two parse trees structures (or more) for the same string (program) implies two different meanings (executable programs) for the program.

Dangling-else ambiguity

The dangling else problem in syntactic ambiguity. It occurs when we use nested if. When there are multiple “if” statements, the “else” part doesn’t get a clear view with which “ if ” it should combine.

The Problem of Dangling-else

Dangling else can lead to serious problems. It can lead to wrong interpretations by the compiler and ultimately lead to wrong results.

What is ambiguity in grammar?

A grammar is said to be ambiguous if there exists more than one leftmost derivation or more than one rightmost derivation or more than one parse tree for the given input string. If the grammar is not ambiguous, then it is called unambiguous. If the grammar has ambiguity, then it is not good for compiler construction.

Is grammar good for compiler?

If the grammar has ambiguity, then it is not good for compiler construction. No method can automatically detect and remove the ambiguity, but we can remove ambiguity by re-writing the whole grammar without ambiguity.

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Context-Free Grammar

Syntax Analyzers

  • A syntax analyzer or parser takes the input from a lexical analyzer in the form of token streams. The parser analyzes the source code (token stream) against the production rules to detect any errors in the code. The output of this phase is a parse tree. This way, the parser accomplishes two tasks, i.e., parsing the code, looking for errors and generating a parse tree as the output of the p…
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Derivation

  • A derivation is basically a sequence of production rules, in order to get the input string. During parsing, we take two decisions for some sentential form of input: 1. Deciding the non-terminal which is to be replaced. 2. Deciding the production rule, by which, the non-terminal will be replaced. To decide which non-terminal to be replaced with production rule, we can have two opt…
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Parse Tree

  • A parse tree is a graphical depiction of a derivation. It is convenient to see how strings are derived from the start symbol. The start symbol of the derivation becomes the root of the parse tree. Let us see this by an example from the last topic. We take the left-most derivation of a + b * c The left-most derivation is: Step 1: Step 2: Step 3: Step 4: Step 5: In a parse tree: 1. All leaf nodes are ter…
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Ambiguity

  • A grammar G is said to be ambiguous if it has more than one parse tree (left or right derivation) for at least one string. Example For the string id + id – id, the above grammar generates two parse trees: The language generated by an ambiguous grammar is said to be inherently ambiguous. Ambiguity in grammar is not good for a compiler construction. ...
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Associativity

  • If an operand has operators on both sides, the side on which the operator takes this operand is decided by the associativity of those operators. If the operation is left-associative, then the operand will be taken by the left operator or if the operation is right-associative, the right operator will take the operand. Example Operations such as Addition, Multiplication, Subtraction, and Divi…
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Precedence

  • If two different operators share a common operand, the precedence of operators decides which will take the operand. That is, 2+3*4 can have two different parse trees, one corresponding to (2+3)*4 and another corresponding to 2+(3*4). By setting precedence among operators, this problem can be easily removed. As in the previous example, mathematically * (multiplication) ha…
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Left Recursion

  • A grammar becomes left-recursive if it has any non-terminal ‘A’ whose derivation contains ‘A’ itself as the left-most symbol. Left-recursive grammar is considered to be a problematic situation for top-down parsers. Top-down parsers start parsing from the Start symbol, which in itself is non-terminal. So, when the parser encounters the same non-terminal in its derivation, it becomes har…
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Left Factoring

  • If more than one grammar production rules has a common prefix string, then the top-down parser cannot make a choice as to which of the production it should take to parse the string in hand. Example If a top-down parser encounters a production like Then it cannot determine which production to follow to parse the string as both productions are starting from the same terminal …
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First and Follow Sets

  • An important part of parser table construction is to create first and follow sets. These sets can provide the actual position of any terminal in the derivation. This is done to create the parsing table where the decision of replacing T[A, t] = α with some production rule.
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