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ECS20 - W22 - Lecture 12 (6R): Induction and Recursion 1Lecture 2022-02-10. The language of number theory, and the Peano axioms for it. The last axiom: the principle of mathematical induction. Different forms of it. Using induction for establishing…
From Phil Rogaway
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ECS20 - W22 - Lecture 4 (2R): Logic 3Building a circuit for adding two 64-bit values. Tautologies. A formal system for proving theorem. The completeness and soundness theorems for sentential logic. Adding quantifier: first-order…
From Phil Rogaway
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ECS20 - W22 - Lecture 3 (2T): Logic 2Review (particularly of functional completeness). More boolean operators: IMPLIES, IFF, XOR, NAND, NOR. Gates and circuits. A formal treatment of boolean formulas: syntax, truth assignments, and…
From Phil Rogaway
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ECS 235B Winter Quarter 2022, Lecture 2Lecture 2, on January 5, 2022 of ECS 235B, Foundations of Computer and Information Security
From Matthew Bishop
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ECS20 - W22 - Lecture 2 (1R): Logic 1Familiar sets and operators on them. The boolean domain and basic operators on booleans (AND, OR, NOT). Representing numbers in binary, and in other bases. Can you represent anything you care about…
From Phil Rogaway
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ECS 120 5c:4 formal definition of TM semanticserrata: At 4:38, I incorrectly said and wrote that L,R,S correspond to +1, -1, and 0. They correspond to -1, +1, and 0, i.e., moving left (L) decrements (-1) the tape head position, and moving right…
From David Doty
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