Algorithm算法代写代考

CS21 Decidability and Tractability Lecture 9 January 24, 2024 Deciding CFLs • Convert CFG into Chomsky Normal Form Copyright By PowCoder代写 加微信 powcoder • parse tree for string x generated by nonterminal A: January 24, 2024 IfA→k x (k>1)thentheremust be a way to split x: • A → BC is a production and •B→i yandC⇒j […]

CS21 Decidability and Tractability Lecture 25 March 4, 2024 • Challenges to Extended Church-Turing – randomized computation – quantum computation Copyright By PowCoder代写 加微信 powcoder March 4, 2024 CS21 Lecture 25 2 Extended Church-Turing Thesis • the belief that TMs formalize our intuitive notion of an efficient algorithm is: • randomizedcomputationchallengesthisbelief March 4, 2024 CS21

CS21 Decidability and Tractability Lecture 8 January 22, 2024 NPDA, CFG equivalence Theorem: a language L is recognized by a NPDA iff L is described by a CFG. Copyright By PowCoder代写 加微信 powcoder Must prove two directions: (⇒) L is recognized by a NPDA implies L is described by a CFG. (⇐) L is described

CS21 Decidability and Tractability Lecture 17 February 12, 2024 Euclid’s Algorithm Claim: value of x reduced by 1⁄2 at every execution of (2) except possibly first one. Copyright By PowCoder代写 加微信 powcoder • after (2) x < y • after (3) x > y • if x/2 ≥ y, then x mod y < y

CS 21 Decidability and Tractability Out: March 6 Winter 2024 Due: March 13, 1pm Copyright By PowCoder代写 加微信 powcoder This is the final exam. You may consult only the course notes and text (Sipser). You may not collaborate. There are 5 problems on two pages. Please attempt all problems. Please turn in your solutions via

CS21 Decidability and Tractability Lecture 24 March 1, 2024 QSAT is PSPACE-complete Theorem: QSAT is PSPACE-complete. • Proof: Copyright By PowCoder代写 加微信 powcoder – in PSPACE: ∃x1∀x2∃x3 … Qxn φ(x1, x2, …, xn)? – “∃x1”: for both x1 = 0, x1 = 1, recursively solve ∀x2∃x3 … Qxn φ(x1, x2, …, xn)? • if at

CS21 Decidability and Tractability Lecture 1 January 3, 2024 January 3, 2024 CS21 Lecture 1 1 • administrative stuff Copyright By PowCoder代写 加微信 powcoder • motivation and overview of the course • problems and languages • Finite Automata January 3, 2024 CS21 Lecture 1 2 Administrative Stuff • Text: Introduction to the Theory of Computation

CS21 Decidability and Tractability Lecture 18 February 14, 2024 Time Hierarchy Theorem Theorem: for every proper complexity Copyright By PowCoder代写 加微信 powcoder function f(n) ≥ n: TIME(f(n)) ⊆ TIME(f(2n)3). • Note: P ⊆TIME(2n) ⊆ TIME(2(2n)3) ⊆ EXP • Most natural functions (and 2n in particular) are proper complexity functions. We will ignore this detail in

CS 21 Decidability and Tractability Winter 2024 Posted: March 13 Final Exam Solutions If you have not yet turned in the Final you should not consult these solutions. Copyright By PowCoder代写 加微信 powcoder First, the problem is in PSPACE, for the usual reason for 2-player games. We give a simple recursive algorithm for a slightly