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Let the following grammar:
S S (S) | ε.
(a) Create and DFA or LR(0) items for this grammar.
(b) Create SLR(1) parsing table.
(c) Illustrate parsing stack and actions of SLR(1) parser for input string (()())
(d) Is this grammar LR(0) parsing table? If not, explain LR(0) conflict. If so create LR(0) parsing table, and explain how parse might vary from SLR (1) parse.
Think about the following Turing-machine model, A tape that is infinitely long in both directions and is divided into cells; at any given step, each cell either is blank or contains a 1.
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Create a standard 1-tape Turing machine M to calculate the function sub3. Specifically, calculate sub3 of a natural number represented in binary.
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Design Turing machine (using Sipser notation) having at least 4 nontrivial (i.e., nonrejecting) states and at least six nontrivial (i.e., not to the rejecting state) transitions.
Design a syntactic analyzer for the language specified by the grammar
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Provide DFA's accepting the following languages over alphabet {0,1}. Set of all strings that, when interpreted as the binary integer, is a multiple of 5.
What does the term solvable mean to you? What does it mean to say that "you solved a problem"? Determine examples of problems for which you believe there are no solutions.
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