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CS21 Decidability and Tractability Lecture 13 February 2, 2024 • reductions • many-one reductions • undecidable problems Copyright By PowCoder代写 加微信 powcoder – computation histories – surprising contrasts between decidable/undecidable • Rice’s Theorem February 2, 2024 CS21 Lecture 13 2 Definition of reduction • Can you reduce co-HALT to HALT? • We know that HALT […]
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CS21 Decidability and Tractability Lecture 15 February 7, 2024 • Post Correspondence Problem (skip) • Beyond RE and co-RE • Recursion Theorem Copyright By PowCoder代写 加微信 powcoder • On to complexity… February 7, 2024 CS21 Lecture 15 2 Post Correspondence Problem • many undecidable problems unrelated to TMs and automata • classic example: Post Correspondence
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CS 21 Decidability and Tractability Winter 2024 Posted: February 1 Solution Set 3 If you have not yet turned in the Problem Set, you should not consult these solutions. Copyright By PowCoder代写 加微信 powcoder A 2-NPDA is a 7-tuple (Q,Σ,Γ1,Γ2,δ,q0,F), where Q,Σ,Γ1,Γ2 and F are all finite sets, and • Q is the set of
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CS 21 Decidability and Tractability Winter 2024 Posted: March 6 Solution Set 7 If you have not yet turned in PS7, you should not consult these solutions. Copyright By PowCoder代写 加微信 powcoder 1. To see that the language is in NP, we simply note that a witness for an n-symbol input y is the unique
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CS21 Decidability and Tractability Lecture 26 March 6, 2024 • Challenges to Extended Church-Turing – randomized computation – quantum computation Copyright By PowCoder代写 加微信 powcoder • Course review March 6, 2024 CS21 Lecture 26 2 Extended Church-Turing Thesis • the belief that TMs formalize our intuitive notion of an efficient algorithm is: • randomizedcomputationchallengesthisbelief March
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CS 21 Decidability and Tractability Winter 2024 Posted: February 14 Solution Set 4 If you have not yet turned in the Problem Set, you should not consult these solutions. Copyright By PowCoder代写 加微信 powcoder 1. The high-level idea of the reduction is this: the first row of tiles should be forced to be the start
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CS 21 Decidability and Tractability Winter 2024 Posted: February 21 Solution Set 5 If you have not yet turned in the Problem Set, you should not consult these solutions. Copyright By PowCoder代写 加微信 powcoder 1. (a) We will reduce 2-COLORABLE to 2-SAT, which we showed to be in P. Given a graph G, our reduction
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CS21 Decidability and Tractability Lecture 2 January 5, 2024 Terminology • finite alphabet Σ : a set of symbols Copyright By PowCoder代写 加微信 powcoder • language L ⊆ Σ∗: subset of strings over Σ • a machine takes an input string and either – accepts, rejects, or – loops forever • a machine recognizes the
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CS21 Decidability and Tractability Lecture 16 February 9, 2024 Complexity • Complexity Theory = study of what is computationally feasible (or tractable) with Copyright By PowCoder代写 加微信 powcoder limited resources: – running time – storage space – number of random bits – degree of parallelism – rounds of interaction – others… February 9, 2024 CS21
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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
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