Question

In: Computer Science

Explain the logical structure of the following set of propositions - a theory. 1.The set of...

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 to NP

8. TQBF belongs to PSPACE

9. P is a subset of PSPACE

10. NP is a subset of PSPACE %3D CONP = P %3D

11. P is a subset of NP

12. If P = NP then NP

13. If SAT belongs to P, then a certificate of an arbitrary YES instance of SAT can be found efficiently

14. Matching problem belongs to P

15. P is subset of the intersection of NP and coNP

16. P = NP then the entire pqlynomial hierarchy collapses to P

17. NP is a subset of sharp P

18. Proof checking belongs to P

19. Short proof belongs to NP

20. Elegant theory belongs to NP

21. SUBGRAPH ISOMORPHISM is NP-complete

Expert Solution

venereology answered 2 years ago

Which of the following is the best definition of theory? A set of mathematically verifiable propositions...

Which of the following is the best definition of theory? A set of mathematically verifiable propositions A description of hypothesized relationships Conjecture that has been verified A conceptualization of the facts

1.Logical equivalence of two English statements. Define the following propositions: j: Sally got the job. l:...

1.Logical equivalence of two English statements. Define the following propositions: j: Sally got the job. l: Sally was late for her interview r: Sally updated her resume. Express each pair of sentences using a logical expression. Then prove whether the two expressions are logically equivalent. (a) If Sally did not get the job, then she was late for interview or did not update her resume. If Sally updated her resume and was not late for her interview, then she got...

The following defines what logical property: A pair of propositions (wffs) P,Q that have the same...

The following defines what logical property: A pair of propositions (wffs) P,Q that have the same truth value under every interpretation. consistency? proposition? argument? equivalence ?

Briefly summarize intro to logic. Make sure that you include the following logical terms: Categorical propositions...

Briefly summarize intro to logic. Make sure that you include the following logical terms: Categorical propositions Categorical syllogisms Propositional logic Predicate logic

Introduce, explain and discuss the basic principles, propositions, and essentials of “Contingency Theory to Organizational Design”.

explain set operations and the laws of set theory with examples

Prove the following set identity using logical equivalences: A ∪ (B - A) = A ∪...

Prove the following set identity using logical equivalences: A ∪ (B - A) = A ∪ B.\ (Hint: Insert a table with 2 columns and 8 rows.)

Which of the following are valid relationships in set theory? Explain why or why not. ...

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...

Draw the figure for memory segments with 8086 microprocessor software model. Explain the logical address structure...

Draw the figure for memory segments with 8086 microprocessor software model. Explain the logical address structure used for each segment (Explain which registers are used in logical address presentation of each segment; segment address : offset address).

1. Darwins theory of evolution by natural selection is the logical outcome of 4 testable predictions...

1. Darwins theory of evolution by natural selection is the logical outcome of 4 testable predictions or postulates. List and define them: 2. How is the word "fitness" defined by biologists compared to everyday use?