Operator | Precedence | Associativity | Arity |
---|---|---|---|

+ | High | Left | Binary |

_ | Medium | Right | Binary |

* | Low | Left | Binary |

The value of the expression $$2 - 5 + 1 - 7 * 3$$ in this language is _______________.

$$\eqalign{ & \,\,\,\,\,\,\,S \to \,\,\,\,\,\,\,F|H \cr & \,\,\,\,\,\,F \to \,\,\,\,\,\,\,p|c \cr & \,\,\,\,\,\,H \to \,\,\,\,\,\,\,d|c \cr} $$

where $$S, F$$ and $$H$$ are non-terminal symbols, $$p, d,$$ and $$c$$ are terminal symbols. Which of the following statement(s) is/are correct?

$$\,\,\,\,\,\,\,S1.\,\,\,\,\,\,\,LL\left( 1 \right)\,\,$$ can parse all strings that are generated using grammar $$G$$

$$\,\,\,\,\,\,\,S2.\,\,\,\,\,\,\,LR\left( 1 \right)\,\,$$ can parse all strings that are generated using grammar $$G$$

A canonical set of items is given below

$$\eqalign{ & S \to L. > R \cr & Q \to R. \cr} $$On input symbol < the set has

Consider the following two sets of LR(1) items of an LR(1) grammar.

$$\eqalign{ & X \to c.X,\,c/d\,\,\,\,\,\,\,\,X \to c.X,\$ \cr & X \to .cX,c/d\,\,\,\,\,\,\,\,X \to .cX,\$ \cr & X \to .d,c/d\,\,\,\,\,\,\,\,\,\,\,X \to .d,\$ \cr} $$Which of the following statements related to merging of the two sets in the corresponding LALR
parser is/are **FALSE**?

1. Cannot be merged since look aheads are different.

2. Can be merged but will result in S-R conflict.

3. Can be merged but will result in R-R conflict.

4. Cannot be merged since goto on c will lead to two different sets.