{"id":206015,"date":"2025-03-26T07:09:43","date_gmt":"2025-03-26T07:09:43","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=206015"},"modified":"2025-03-26T07:09:45","modified_gmt":"2025-03-26T07:09:45","slug":"the-grammar-with-start-symbol-sentence-set-of-terminals-t-the-sleepy-happy-tortoise-hare-passes-runs-quickly-slowly","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/26\/the-grammar-with-start-symbol-sentence-set-of-terminals-t-the-sleepy-happy-tortoise-hare-passes-runs-quickly-slowly\/","title":{"rendered":"The grammar with start symbol sentence, set of terminals T = {the, sleepy, happy, tortoise, hare, passes, runs, quickly, slowly}"},"content":{"rendered":"\n<p>The grammar with start symbol sentence, set of terminals T = {the, sleepy, happy, tortoise, hare, passes, runs, quickly, slowly}, set of nonterminals N = {noun phrase, transitive verb phrase, intransitive verb phrase, article, adjective, noun, verb, adverb}, and productions: sentence \u2192 noun phrase transitive verb phrase noun phrase sentence \u2192 noun phrase intransitive verb<\/p>\n\n\n\n<p>phrase noun phrase \u2192 article adjective noun<\/p>\n\n\n\n<p>noun phrase \u2192 article noun transitive verb<\/p>\n\n\n\n<p>phrase \u2192 transitive verb intransitive verb<\/p>\n\n\n\n<p>phrase\u2192intransitive verb adverb<\/p>\n\n\n\n<p>intransitive verb<\/p>\n\n\n\n<p>phrase \u2192 intransitive<\/p>\n\n\n\n<p>verb article \u2192 the<\/p>\n\n\n\n<p>Adjective \u2192 sleepy<\/p>\n\n\n\n<p>adjective \u2192 happy<\/p>\n\n\n\n<p>noun \u2192 tortoise noun \u2192 hare<\/p>\n\n\n\n<p>transitive verb \u2192 passes<\/p>\n\n\n\n<p>intransitive verb \u2192 runs<\/p>\n\n\n\n<p>adverb \u2192 quickly<\/p>\n\n\n\n<p>adverb \u2192 slowly<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p>This grammar defines a simple language structure. Here are a few valid sentences generated using the given grammar:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>The sleepy tortoise passes the happy hare.<\/strong><\/li>\n\n\n\n<li><strong>The hare runs quickly.<\/strong><\/li>\n\n\n\n<li><strong>The happy tortoise passes the sleepy hare.<\/strong><\/li>\n\n\n\n<li><strong>The tortoise runs slowly.<\/strong><\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>This is a context-free grammar (CFG) with the start symbol <strong>sentence<\/strong>. Let&#8217;s break down its components:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Terminals (T)<\/strong>: These are the words that appear in the final sentence.<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Articles: <strong>the<\/strong><\/li>\n\n\n\n<li>Adjectives: <strong>sleepy, happy<\/strong><\/li>\n\n\n\n<li>Nouns: <strong>tortoise, hare<\/strong><\/li>\n\n\n\n<li>Verbs: <strong>passes, runs<\/strong><\/li>\n\n\n\n<li>Adverbs: <strong>quickly, slowly<\/strong><\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Non-terminals (N)<\/strong>: These represent categories of words or phrases, which can be replaced using production rules.<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>sentence<\/strong>: The starting point, which expands into noun and verb phrases.<\/li>\n\n\n\n<li><strong>noun phrase<\/strong>: A phrase containing an article, an optional adjective, and a noun.<\/li>\n\n\n\n<li><strong>transitive verb phrase<\/strong>: Contains a transitive verb and connects to another noun phrase.<\/li>\n\n\n\n<li><strong>intransitive verb phrase<\/strong>: Contains an intransitive verb and an optional adverb.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Production Rules<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A sentence can be structured as <strong>noun phrase + transitive verb phrase + noun phrase<\/strong> (e.g., <em>The tortoise passes the hare<\/em>).<\/li>\n\n\n\n<li>A sentence can also be <strong>noun phrase + intransitive verb phrase<\/strong> (e.g., <em>The hare runs quickly<\/em>).<\/li>\n\n\n\n<li>A <strong>noun phrase<\/strong> can be constructed using an article, an adjective, and a noun (<em>The happy tortoise<\/em>).<\/li>\n\n\n\n<li>A <strong>verb phrase<\/strong> can include a transitive verb (<em>passes<\/em>) or an intransitive verb plus an adverb (<em>runs slowly<\/em>).<\/li>\n<\/ul>\n\n\n\n<p>By following these rules, we can generate syntactically correct sentences within this small language.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-1486.png\" alt=\"\" class=\"wp-image-206016\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The grammar with start symbol sentence, set of terminals T = {the, sleepy, happy, tortoise, hare, passes, runs, quickly, slowly}, set of nonterminals N = {noun phrase, transitive verb phrase, intransitive verb phrase, article, adjective, noun, verb, adverb}, and productions: sentence \u2192 noun phrase transitive verb phrase noun phrase sentence \u2192 noun phrase intransitive verb [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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