Consider the following decision problems:
(P1) Does a given finite state machine accept a given string
(P2) Does a given context free grammar generate an infinite number of stings
Which of the following statements is true?

Related MCQs

• Which of the following are decidable? I. Whether the intersection of two regular languages is infinite II. Whether a given context-free language is regular III. Whether two push-down automata accept the same language IV. Whether a given grammar is context-free
• Which of the following are decidable ? 1. whether the intersection of two regular language is infinite. 2. whether a give context free language is regular 3. whether two push down automata accept the same language. 4. whether a given grammar is context free
• Consider the following expression grammar. The seman-tic rules for expression calculation are stated next to each grammar production. E → number E.val = number. val | E '+' E E(1).val = E(2).val + E(3).val | E '×' E E(1).val = E(2).val × E(3).val The above grammar and the semantic rules are fed to a yacc tool (which is an LALR (1) parser generator) for parsing and evaluating arithmetic expressions. Which one of the following is true about the action of yacc for the given grammar?
• Consider the following grammar. S -> S * E S -> E E -> F + E E -> F F -> id Consider the following LR(0) items corresponding to the grammar above. (i) S -> S * .E (ii) E -> F. + E (iii) E -> F + .E Given the items above, which two of them will appear in the same set in the canonical sets-of-items for the grammar?
• Consider the following statements related to compiler construction : I. Lexical Analysis is specified by context-free grammars and implemented by pushdown automata. II. Syntax Analysis is specified by regular expressions and implemented by finite-state machine. Which of the above statement(s) is/are correct?
• Which of the following problems are decidable? 1) Does a given program ever produce an output? 2) If L is a context-free language, then is L’ (complement of L) also context-free? 3) If L is a regular language, then is L’ also regular? 4) If L is a recursive language, then, is L’ also recursive?
• Consider the following statements about the context free grammarG = {S - >SS, S - >ab, S - >ba, S - ε}I. G is ambiguousII. G produces all strings with equal number of a’s and b’sIII. G can be accepted by a deterministic PDA.Which combination below expresses all the true statements about G?
• Consider the following two statements: P: Every regular grammar is LL(1) Q: Every regular set has a LR(1) grammar Which of the following is TRUE?
• Consider the grammar S → (S) | a Let the number of states in SLR(1), LR(1) and LALR(1) parsers for the grammar be n1, n2 and n3 respectively. The following relationship holds good
• Let <M> be the encoding of a Turing machine as a string over ∑= {0, 1}. Let L = { <M> |M is a Turing machine that accepts a string of length 2014 }. Then, L is