Elements of the Theory of ComputationA general, yet comprehensive, introduction to the classical and contemporary theory of computation. |
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Page 155
... grammar G such that L ( M ) = L ( G ) . Give a deriva- tion in G for the string babbbabab . b ab b P a ( N e 豆 a a D ab HUD B b 3.2.3 . Call a context - free grammar G = ( V , E , R , S ) left - regular if and only if R = ( V − Σ ) ...
... grammar G such that L ( M ) = L ( G ) . Give a deriva- tion in G for the string babbbabab . b ab b P a ( N e 豆 a a D ab HUD B b 3.2.3 . Call a context - free grammar G = ( V , E , R , S ) left - regular if and only if R = ( V − Σ ) ...
Page 160
... ( G ) = L ( G ' ) , where G ' is the grammar derived from G by omitting all nonterminals A such that ( S , A ) ‡ T * , as well as the rules involving these nonterminals . E , ( c ) Find G ' if G is the grammar G = ( V , Σ , R , S ) , with ...
... ( G ) = L ( G ' ) , where G ' is the grammar derived from G by omitting all nonterminals A such that ( S , A ) ‡ T * , as well as the rules involving these nonterminals . E , ( c ) Find G ' if G is the grammar G = ( V , Σ , R , S ) , with ...
Page 161
... grammar sat- isfying this restriction is said to be in Chomsky normal form . ( c ) Transform the grammar G = ( V , E , R , S ) with V = { a , b , S , A , B } , Σ = { a , b } , and R = { S → aA , S ba , B → bAA , B → ab } into an ...
... grammar sat- isfying this restriction is said to be in Chomsky normal form . ( c ) Transform the grammar G = ( V , E , R , S ) with V = { a , b , S , A , B } , Σ = { a , b } , and R = { S → aA , S ba , B → bAA , B → ab } into an ...
Contents
FINITE AUTOMATA | 49 |
CONTEXTFREE LANGUAGES | 95 |
Problems | 153 |
Copyright | |
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2-place A V B a₁ a₂ accepts algorithm alphabet atomic formulas automata B₁ B₂ binary C₁ C₂ clause set computation configuration conjunctive normal form construction contains context-free grammar context-free languages countable d₁ decides defined definition derivation deterministic finite automaton disjunctive normal form encoding equivalent example Formally formula F function signs functional form G₂ grammar G halts Hamilton cycle Herbrand expansion infinite input string integers L₂ Lemma Let F Let G literals M₁ M₂ n₂ natural numbers negation nondeterministic Turing machine nonterminal NP-complete number of steps occurrence pair parse tree polynomial polynomial-time predicate calculus predicate sign primitive recursive functions problem proof of Theorem propositional calculus pushdown automaton quantifiers R₁ regular expression relation rule s₁ satisfiable Show simulation subformulas subset Suppose symbol t₁ tape square tiling tion transformation transitions truth-assignment truth-value Turing-acceptable Turing-decidable u₁ unsatisfiable unsolvable variables verifies w₁ write