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a) Show that all binary strings generated by the following grammar have values divisible by 3. Hint. Use induction on the number of nodes in a parse tree.
num -> 11 | 1001 | num 0 | num num
b) Does the grammar generate all binary strings with values divisible by 3?
Write some examples of declarative knowledge. Write some examples of procedural knowledge. Then, compare examples, highlighting the similarities & differences.
1. firstly critically discuss how job design can contribute to the growth and development of the individual skill
Determine, formally, whether L(R1(R1 + R2)*) = L((R1 + R2)*). That is, if it is true, provide a proof; otherwise provide a counter example.It is a well known result that every PDA with acceptance condition of an empty stack and reachability of a fin..
Design deterministic finite state transducers that implement the subsequent context sensitive rules:
Use any algorithm we without writing out details of algorithm. In proving problem NP-complete, you may utilize NP completeness of any of the problems.
Devise a Turing machine with input given in unary notation such that the equipments produces the following output, 0 if x is divisible by 4,
Dynamic programming algorithm to compute a shortest superstring.
Discuss the following questions relative to compilers: Which phase of a compiler would give you a syntax error? Which phase complains about undefined variables?
question 1show via chains of equivalences that the following propositions are tautologies.a p and q rarr p harr qb p or
Show that if the statement P(n) is true for infinitely many positive integers, and the implication P(n+1) ---> P(n) is true for all n>=1, then P(n) is true for all positive integers.
Prove using the pumping lemma and closure properties that the languages below are not regular. You can use the game argument provided in class.
Write implememnt finite state machine which recognzes input string according to following rules. First character should be either letter(upper or lower case.)
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