define finite automaton ?
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A finite automaton (FA) is a simple idealized machine used to recognize patterns within input taken from some character set (or alphabet) C. The job of an FA is to accept or reject an input depending on whether the pattern defined by the FA occurs in the input. A finite automatonconsists of: a finite set S of N states.
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ɪɴ ᴛʜᴇ ᴛʜᴇᴏʀʏ ᴏꜰ ᴄᴏᴍᴘᴜᴛᴀᴛɪᴏɴ, ᴀ ʙʀᴀɴᴄʜ ᴏꜰ ᴛʜᴇᴏʀᴇᴛɪᴄᴀʟ ᴄᴏᴍᴘᴜᴛᴇʀ ꜱᴄɪᴇɴᴄᴇ, ᴀ ᴅᴇᴛᴇʀᴍɪɴɪꜱᴛɪᴄ ꜰɪɴɪᴛᴇ ᴀᴜᴛᴏᴍᴀᴛᴏɴ —ᴀʟꜱᴏ ᴋɴᴏᴡɴ ᴀꜱ ᴅᴇᴛᴇʀᴍɪɴɪꜱᴛɪᴄ ꜰɪɴɪᴛᴇ ᴀᴄᴄᴇᴘᴛᴏʀ, ᴅᴇᴛᴇʀᴍɪɴɪꜱᴛɪᴄ ꜰɪɴɪᴛᴇ-ꜱᴛᴀᴛᴇ ᴍᴀᴄʜɪɴᴇ, ᴏʀ ᴅᴇᴛᴇʀᴍɪɴɪꜱᴛɪᴄ
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