Bottom-up parsing (Shift-reduce, LR parsers)
What is Bottom-up parsing? Bottom-up parsing is a parsing technique used in compiler design. It is a top-down parsing approach where the parser starts by re...
What is Bottom-up parsing? Bottom-up parsing is a parsing technique used in compiler design. It is a top-down parsing approach where the parser starts by re...
What is Bottom-up parsing?
Bottom-up parsing is a parsing technique used in compiler design. It is a top-down parsing approach where the parser starts by reading the input text and constructing a parse tree based on its structure. This method is typically used when the grammar is unambiguous and has a finite number of grammatical constructs.
The Shift-reduce parser algorithm:
A shift-reduce parser is a type of parser that uses a set of shift and reduce operations to derive the parse tree from the input text. These operators represent the parser's ability to transform a portion of the input into a corresponding parse tree node.
Key features of the Shift-reduce parser:
The parser operates on a stream of input characters.
It maintains a set of tokens, which are the building blocks of the parse tree.
Each token is represented by a state in the parser.
When a token is recognized, the parser transitions to the corresponding state and adds the token to the parse tree.
The parser can backtrack and revisit previous states to handle situations where the input text does not provide enough information to determine the parse tree.
Example:
Consider the following grammar:
S -> NP NP
N -> NN
P -> PP
This grammar describes a sentence where a noun phrase (NP) is followed by a noun phrase (NP) and a prepositional phrase (PP).
Here's how a Shift-reduce parser would analyze this grammar:
The parser starts in the start state and reads the first token, "S".
Since "S" is a start symbol, the parser enters the NP state.
The parser reads the second token, "N".
The parser transitions to the state for a noun phrase and adds the token "NN" to the parse tree.
The parser reads the third token, "P".
The parser transitions to the state for a prepositional phrase and adds the token "PP" to the parse tree.
The parser continues reading the input text and transitions between states until it reaches the end of the sentence.
Advantages of the Shift-reduce parser:
They are relatively easy to understand and implement.
They can handle unambiguous grammars with finite sets of grammatical constructs.
They are efficient in terms of time and space complexity.
Disadvantages of the Shift-reduce parser:
They are limited to unambiguous grammars.
They can be difficult to handle ambiguous grammars with infinitely many grammatical constructs.
They can be sensitive to the order of input tokens