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Explain why every nonempty propositional clause, by itself, is satisfiable. Prove rigorously that every set of five 3-SAT clause is satisfiable, provided that each clause mentions exactly three distinct variables. What is the smallest set of such clauses that is unsatisfiable? Construct such a set.
Write down a structural induction principle for the PlayTree free type
Create a Mealy Machine which produces the output of 1 whenever discrepancy in above pattern is detected, and produces the output of 0 otherwise. Write states meaningful names.
Consider a logic function with three outputs, A , B , and C , and three inputs, D , E , and F . The function is defined as follows: A is true if at least one input is true, B is true
Write a program would read two numbers and then print all numbers between the first and the second, inclusive. Design unambiguous grammar to parse expressions
Consider the language L = L1 ∩ L2, where L1 = {ww^R : w ∈ {a, b}* and L2 = {a^n b*a^n: n ≥ 0}. Write the first four strings in the lexicographic enumeration of L?
Create a finite-state machine design to turn your FPGA development board into a simple programmable music box.
In this problem, we consider a very restricted subset of Boolean expressions. Define an operator to be one of the four symbols: ¬, ∧, ∨, and →. Define a variable to be one of the five symbols
We showed to prove that if L can be identified by DFA then the language left half(L) = {x ∈ ∑*|∃y xy ∈ L and |x| = |y|} is also regular; here |x| means length of x.
Write some examples of declarative knowledge. Write some examples of procedural knowledge. Then, compare examples, highlighting the similarities & differences.
Design a syntactic analyzer for the language specified by the grammar
Rewrite the productions for each of the following nonterminals as right regular grammars: Identifier, Float. Show the moves made using the DFSA for identifiers in accepting.
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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