Riepilogo dell'insegnamento: Computability and Computational Complexity
6 cfu così ripartiti nelle aree:
- 6 CFU nell'area MAT - Crediti di MATEMATICA
Sillabo dell'insegnamento
- MAT - Crediti di MATEMATICA
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MAT/01 - Logica Matematica
Alternating Computation: Alternating TMs. Class AP.
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MAT/01 - Logica Matematica
Interactive protocols, class IP. Shamir's theorem. Class AM (Arthur - Merlin).
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MAT/01 - Logica Matematica
Space complexity classes: LOGSPACE, NLOGSPACE, PSPACE, NPSPACE. Savitch's theorem. Complexity of logical languages and systems. Probabilistic complexity classes: BPP, RP, ZPP.
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MAT/01 - Logica Matematica
Time complexity classes. P and Edmonds-Cook-Karp's thesis. Problems in P. Class NP. Problem P = NP. NP-completeness. Cook's theorem on SAT. Problems NP-complete. Class co-NP, NP-intermediate problems. Polynomial hierarchy, class PH.
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MAT/01 - Logica Matematica
Measures of complexity, problems' classification. Complexity classes. Reductions.
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MAT/01 - Logica Matematica
Computability. Turing machines. Decidable languages, computable functions. The Halting Problem.
(*) Le sottoaree con asterisco sono quelle che il GRIN auspica facciano parte in via prioritaria dei sillabi degli insegnamenti assegnati all?area stessa