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How to fill out lr0 and slr parse

01

To fill out a LR(0) parse table:

02

Build the augmented grammar by adding a new start symbol and a production with this start symbol as the left-hand side and the original start symbol as the right-hand side.

03

Initialize the item sets by placing the closure of a single item, the augmented production with the dot at the beginning, in the first item set.

04

For each item set, compute the closure of that item set by repeatedly applying the closure operation until no new items can be added.

05

Compute the transition function for each item set and each grammar symbol by taking the union of the closures of item sets resulting from applying a shift operation.

06

Repeat steps 3 and 4 until no new item sets or transitions can be added.

07

Fill out the parse table by encoding the transitions and reductions in the appropriate cells.

08

To fill out a SLR parse table:

09

Follow the steps to fill out the LR(0) parse table.

10

Identify the viable prefixes for each production. A viable prefix is a sequence of symbols that can appear on the stack during a valid derivation.

11

For each viable prefix, determine the follow set, which is the set of terminals that can appear immediately after the viable prefix.

12

Modify the actions in the parse table by incorporating the follow sets. Shift-reduce conflicts can be resolved by using the follow set to determine whether to shift or reduce.

13

Fill out the modified parse table by encoding the transitions and reduced productions in the appropriate cells.

Who needs lr0 and slr parse?

01

LR(0) and SLR parses are used in the field of compiler construction and parsing algorithms.

02

They are needed by compiler designers and developers who want to implement efficient and accurate parsing algorithms for programming languages.

03

LR(0) and SLR parses are particularly useful for parsing deterministic, context-free languages.

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