Explain the logical structure of the following set of
propositions - a theory.
1.The set of languages accepted (decided) by deterministic
Turing machines = the set of languages accepted (decided) by
nondeterministic Turing machines
2. PATH belongs to P
3. TAUTOLOGY is a member of coNP
4. 2 definitions for NP (1 in terms of a polynomial verifier 2
in terms of a nTM) are equivalent
5. PSPACE = NPSPACE
6. NP is a subset of PSPACE
7. SAT belongs...
Explain if the set below is a vector space given standard
operations.
The set of all even functions defined on R with addition and scalar
multiplication defined as follows:
1.) (f+g)(x) = f(x) + g(x) (addition)
2.) (cf)(x) = cf(x)
examples of the thermodynamics and its
laws.
- Where do we use these laws?
- The textbook talks about Heat Pumps, Refrigerators,
and so on. Can you come up with some of its uses?
Which of the following are valid relationships in set theory?
Explain why or why not.
(a) (A or B or C)' = A' or B'
or C'
(b) A or B or C = A or (A' and
B) or [[A or (A' and B)]' and C]
(c) (A or B) and (A' or B') =
(A and B') or (A' and B) or (A' and B and C')
(d) (A and B) or (A and...