Q. If \ud835\udc3f is a regular language over \u03a3 = {\ud835\udc4e, \ud835\udc4f}, which one of the following languages is NOT regular ?<\/p>\n\n\n\n
(A) \ud835\udc3f \u22c5 \ud835\udc3f\ud835\udc45<\/sup> = {\ud835\udc65\ud835\udc66 | \ud835\udc65 \u2208 \ud835\udc3f, \ud835\udc66\ud835\udc45<\/sup> \u2208 \ud835\udc3f}<\/p>\n\n\n\n (B) {\ud835\udc64\ud835\udc64\ud835\udc45<\/sup> | \ud835\udc64 \u2208 \ud835\udc3f}<\/p>\n\n\n\n (C) Prefix (\ud835\udc3f) = {\ud835\udc65 \u2208 \ud835\udef4\u2217<\/sup>|\u2203\ud835\udc66 \u2208 \ud835\udef4\u2217<\/sup> such that \ud835\udc65\ud835\udc66 \u2208 \ud835\udc3f}<\/p>\n\n\n\n (D) Suffix (\ud835\udc3f) = {\ud835\udc66 \u2208 \ud835\udef4\u2217<\/sup>|\u2203\ud835\udc65 \u2208 \ud835\udef4\u2217<\/sup> such that \ud835\udc65\ud835\udc66 \u2208 \ud835\udc3f}<\/p>\n\n\n\n Ans:{\ud835\udc64\ud835\udc64\ud835\udc45<\/sup> | \ud835\udc64 \u2208 \ud835\udc3f}<\/p>\n\n\n\n Solution:<\/p>\n\n\n\n language L = {wwR \u23d0 w \u2208 L} is infinite and not regular because it involves string matching and we can increase in length indefinitely and then finite automata will run out of memory, so it require stack. Hence, it is context-free but not regular.<\/p>\n\n\n\n <\/p>\n","protected":false},"excerpt":{"rendered":" Q. If \ud835\udc3f is a regular language over \u03a3 = {\ud835\udc4e, \ud835\udc4f}, which one of the following languages is NOT regular ? (A) \ud835\udc3f \u22c5 \ud835\udc3f\ud835\udc45 = {\ud835\udc65\ud835\udc66 | \ud835\udc65 \u2208 \ud835\udc3f, \ud835\udc66\ud835\udc45 \u2208 \ud835\udc3f} (B) {\ud835\udc64\ud835\udc64\ud835\udc45 | \ud835\udc64 \u2208 \ud835\udc3f} (C) Prefix (\ud835\udc3f) = {\ud835\udc65 \u2208 \ud835\udef4\u2217|\u2203\ud835\udc66 \u2208 \ud835\udef4\u2217 such that \ud835\udc65\ud835\udc66 \u2208 \ud835\udc3f} […]<\/p>\n","protected":false},"author":419,"featured_media":154009,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5141],"tags":[5140],"offerexpiration":[],"class_list":["post-154008","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154008","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=154008"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154008\/revisions"}],"predecessor-version":[{"id":154010,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154008\/revisions\/154010"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/154009"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=154008"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=154008"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=154008"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=154008"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}