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CS21 Decidability and Tractability Lecture 4 January 10, 2024 Regular expressions • R is a regular expression if R is – a, for some a ∈ Σ Copyright By PowCoder代写 加微信 powcoder – ε, the empty string – Ø, the empty set – (R1 ∪ R2), where R1 and R2 are reg. exprs. –(R1 ∘R2),whereR1 […]
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CS 21 Decidability and Tractability Winter 2024 Posted: January 17 Solution Set 1 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. We need to define a language that has the same computational power as the function f; that is, given f
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CS 21 Decidability and Tractability Winter 2024 Posted: January 24 Solution Set 2 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. We build an NPDA for L. There will be four states, labeled “match,” “add-one”, “add- two,” and “accept” plus three
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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
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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
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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
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CS 21 Decidability and Tractability Winter 2024 Out: February 28 Due: March 6 Problem Set 7 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 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
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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
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CS 21 Decidability and Tractability Winter 2024 Out: January 31 Due: February 7 This is a midterm. You may consult only the course notes and the text (Sipser). You may not collaborate. The full honor code guidelines can be found in the course syllabus. Copyright By PowCoder代写 加微信 powcoder There are 5 problems on 2
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