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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 1 year ago

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