Draw a Turing Machine for the language generated by the grammar S --> aSa | bSb...
Draw a Turing Machine for the language generated by the grammar
S --> aSa | bSb | c
Homework Answers
Turing machine for the language generated by above grammar is shown below.
qi and qf are initial and final states respectively. By a,X,R we means on encountering first symbol as 'a' we convert it to symbol X and then move towards right. R , L represent right and left. B represent blank symbol. X and Y are symbol are used for the conversion of terminals a and b respectively.
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Draw a Turing Machine for the language generated by the
grammar
S --> aSa | bSb...
a) What language is accepted by the Turing machine d(%-a)-(%-a, R), d(%-a)-(9-a, R). (5) Design a...
a) What language is accepted by the Turing machine d(%-a)-(%-a, R), d(%-a)-(9-a, R). (5) Design a Turing machine that will accept language OL-L6.a) (6) Design a Turing machine that will calculate fx)-3x. You must show the representation of s and 3x on the tape of Turing machine when the calculation starts and ends, respectively Extra Questions (20 points) 1. Fill the proper words in the blank (1) Given alphabet Σ, a language on Σ isa (2) Given a grammar G,...
The following context-free grammar (CFG) generates palindromes. This CFG has the following rules: S → ε,...
The following context-free grammar (CFG) generates palindromes. This CFG has the following rules: S → ε, S → a, S → b, ..., S → z, S → aSa, S → bSb, ..., S → zSz. On an example of a palindrome cattac, show, step-by-step, how this palindrome will be generated by this grammar.
Construct a regular grammar G (a" b) c (aa bb)? VT, S, P) that generates the language generated by
Construct a regular grammar G (a" b) c (aa bb)? VT, S, P) that generates the language generated by
Construct a regular grammar G (a" b) c (aa bb)? VT, S, P) that generates the language generated by
Find a derivation tree in Example 5.1 ({S}, {a, b}, S, P), with productions The grammar...
Find a derivation tree in
Example 5.1 ({S}, {a, b}, S, P), with productions The grammar G - aSa, bSb S is context-free. A typical derivation in this grammar is S aSa aa Saa aabSbaa aabbaa This, and similar derivations, make it clear that {a, b}'} L (G) wwR
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Give a Turing machine that is not a decider. The Turing machine can recognize any language you choose. Explain why it is not a decider.
What language is generated by the grammar given S→ XY X → aXbb | ε Y...
What language is generated by the grammar given S→ XY X → aXbb | ε Y → bXcc | b
Give the state diagram of a Turing machine that accepts the following language over S =...
Give the state diagram of a Turing machine that accepts the following language over S = {0,1}: {0m1n: m > n ≥ 0}
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give...
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
Give an unambiguous grammar for the same language generated by the grammar: <fruit>* : -<yellow» | <red>...
Give an unambiguous grammar for the same language generated by
the grammar:
<fruit>* : -<yellow» | <red> <yellow» banana |mango | <empty> <red> ::- cherry | apple | <empty> "Same language" means that the unambiguous grammar can generate exactly the same set of strings as the ambiguous grammar. No more; no fewer. There will of course be a difference in how - by what NTSs and productions - at least some of those strings are generated
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a) What language is accepted by the Turing machine d(%-a)-(%-a, R), d(%-a)-(9-a, R). (5) Design a Turing machine that will accept language OL-L6.a) (6) Design a Turing machine that will calculate fx)-3x. You must show the representation of s and 3x on the tape of Turing machine when the calculation starts and ends, respectively Extra Questions (20 points) 1. Fill the proper words in the blank (1) Given alphabet Σ, a language on Σ isa (2) Given a grammar G,...
Construct a regular grammar G (a" b) c (aa bb)? VT, S, P) that generates the language generated by
Construct a regular grammar G (a" b) c (aa bb)? VT, S, P) that generates the language generated by
Find a derivation tree in
Example 5.1 ({S}, {a, b}, S, P), with productions The grammar G - aSa, bSb S is context-free. A typical derivation in this grammar is S aSa aa Saa aabSbaa aabbaa This, and similar derivations, make it clear that {a, b}'} L (G) wwR
determine if the language is regular, context-free, Turing-decidable, or undecidable. For languages that are regular, give a DFA that accepts the language, a regular expression that generates the language, and a maximal list of strings that are pairwise distinguishable with respect to the language. For languages that are context-free but not regular, prove that the language is not regular and either give a context- free grammar that generates the language or a pushdown automaton that accepts the language. You need...
Give an unambiguous grammar for the same language generated by
the grammar:
<fruit>* : -<yellow» | <red> <yellow» banana |mango | <empty> <red> ::- cherry | apple | <empty> "Same language" means that the unambiguous grammar can generate exactly the same set of strings as the ambiguous grammar. No more; no fewer. There will of course be a difference in how - by what NTSs and productions - at least some of those strings are generated
* : -
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