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CS21 Decidability and Tractability Lecture 7 January 19, 2024 CFG example • Arithmetic expressions over {+,*,(,),a} Copyright By PowCoder代写 加微信 powcoder – (a + a) * a –a*a+a+a+a+a • A CFG generating this language: → * → + → () | a January 19, 2024 CS21 Lecture 7 2 CFG example • A derivation of […]
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CS21 Decidability and Tractability January 13, 2023 • Non-regular languages: Pumping Lemma • Context-Free Grammars and Languages Copyright By PowCoder代写 加微信 powcoder January 12, 2024 CS21 Lecture 5 2 Non-regular languages Pumping Lemma: Let L be a regular language. There exists an integer p (“pumping length”) for which every w ∈ L with |w| ≥
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CS 21 Decidability and Tractability Winter 2024 Out: January 17 Due: January 24 Problem Set 2 Copyright By PowCoder代写 加微信 powcoder Reminder: you are encouraged to work in groups of two or three; however you must turn in your own write-up and note with whom you worked. You may consult the course notes and the
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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
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CS21 Decidability and Tractability Lecture 22 February 26, 2024 • NP-complete problems: independent set, vertex cover, clique… • NP-complete problems: Hamilton path and cycle,Traveling Salesperson Problem Copyright By PowCoder代写 加微信 powcoder • NP-complete problems: Subset Sum • NP-complete problems: NAE-3-SAT, max cut February 26, 2024 CS21 Lecture 22 2 SUBSET-SUM is NP-complete Theorem: the following
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CS 21 Decidability and Tractability Winter 2024 Out: February 7 Due: February 14 Problem Set 4 Copyright By PowCoder代写 加微信 powcoder Reminder: you are encouraged to work in groups of two or three; however you must turn in your own write-up and note with whom you worked. You may consult the course notes and the
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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
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CS21: Decidability and Tractability course information and tentative schedule Catalog description: This course introduces the formal foundations of computer science, the fundamental limits of computation, and the limits of efficient computation. Topics will include automata and Turing machines, decidability and undecidability, reductions between computational problems, and the theory of NP-completeness. Course Information: Copyright By PowCoder代写
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CS21 Decidability and Tractability Lecture 11 January 29, 2024 Examples of basic operations Copyright By PowCoder代写 加微信 powcoder • Convince yourself that the following types of operations are easy to implement as part of TM “program” (but perhaps tedious to write out…) – incrementing/decrementing – arithmetic operations +, -, *, / January 29, 2024 CS21
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CS21 Decidability and Tractability Lecture 12 January 31, 2024 {anbn : n ≥ 0 } regular languages Copyright By PowCoder代写 加微信 powcoder context free languages some language all languages {anbncn : n ≥ 0 } • This language might be an esoteric, artificially constructed one. Do we care? • We will show a natural undecidable
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