A deterministic context-free grammar is a method for describing how to make sentences that is very organized and predictable. Imagine you have a big box of toy blocks of different colors and shapes. You can use these blocks to build a castle, a car, or a house. In the same way, a deterministic context-free grammar is like a set of blocks that you can use to build a sentence.
For example, let's say you want to build a sentence like "The cat chased the mouse." In the deterministic context-free grammar, we would have a set of blocks that contain all the possible words for a sentence. We would also have rules that tell us how to put these blocks together in order to create a sentence.
Here's how it works: First, we start with a "start symbol" block. This block tells us what kind of sentence we want to make. In this case, our start symbol is "Sentence". Then, we use other blocks to fill in the different parts of the sentence. For example, we might use the block "the" for the determiner, "cat" and "mouse" for the noun, and "chased" for the verb.
The rules tell us what blocks we can use in each part of the sentence. For example, we might have a rule that says "Noun" can only be "cat" or "mouse". This makes sure we don't accidentally build a sentence like "The tree chased the mouse."
The coolest thing about a deterministic context-free grammar is that it will always produce the same sentence when you use the same blocks and rules. So if we use the same start symbol and blocks to build a sentence, we will always get the exact same sentence. This makes it very reliable and easy to use, like building with toy blocks that always fit perfectly together.