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01:25:00 ECS20 - W22 - Lecture 12 (6R): Induction and… ECS20 - W22 - Lecture 12 (6R): Induction and Recursion 1	ECS20 - W22 - Lecture 12 (6R): Induction and Recursion 1 Lecture 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… induction mathematical induction peano axioms basis inductive step inductive assumption triominoes envelopes times packs thing numbers n. sum hand proof side assumption step trauma grid packets successor cubed symbol From Phil Rogaway 0 likes 125 plays 0
01:21:36 ECS20 - W22 - Lecture 5 (3T): Proofs ECS20 - W22 - Lecture 5 (3T): Proofs	ECS20 - W22 - Lecture 5 (3T): Proofs Online lecture from 1/19/2022. Sundry proofs, chosen to illustrate recurring ideas and themes. I had prepared 11 examples, and we got through 8 of them. Also included some general comments on… proofs contradiction assume contrapositve tic-tac-toe cases clever natural counterexample exist rigor proof problem root thing men numbers partners balls face claim problems card triangle times kind point things half From Phil Rogaway 0 likes 128 plays 0
01:22:02 ECS20 - W22 - Lecture 4 (2R): Logic 3 ECS20 - W22 - Lecture 4 (2R): Logic 3	ECS20 - W22 - Lecture 4 (2R): Logic 3 Building 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… circuit adder tautology formal proofs completeness soundness first-order logic formula truth logic table bit proof kind universe phi assumptions statement variables carry statements axioms function english symbol From Phil Rogaway 0 likes 153 plays 0
32:30 2021-12-03: Cutgeneratingfunctionology 2021-12-03: Cutgeneratingfunctionology	2021-12-03: Cutgeneratingfunctionology Videos and all other materials are copyright 2021 Matthias Köppe and shared as Open Educational Resources subject to the Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)… functions function proof things problem cuts families space geometry linear integer problems kind stuff thing proofs subadditivity branch techniques solutions From Matthias Koeppe 0 likes 9 plays 0
04:39 ECS 120 5b:2 proof of non-regularity using… ECS 120 5b:2 proof of non-regularity using closure properties	ECS 120 5b:2 proof of non-regularity using closure properties integer language zeros star closure proof bunch strings integers fact properties technique string c. languages addition x. numbers component analogy From David Doty 0 likes 98 plays 0
06:12 ECS 120 5b:1 examples of using the Myhill-Nerode… ECS 120 5b:1 examples of using the Myhill-Nerode Theorem	ECS 120 5b:1 examples of using the Myhill-Nerode Theorem I forgot to write on this slide that this is Section 7.7 in the lecture notes. strings language zeros extension theorem string proof pair fact form eye languages examples thing lengths end lots chain result wounds From David Doty 0 likes 404 plays 0
01:01:00 ECS 153, Spring 2021; Lecture #11; April 21, 2021 ECS 153, Spring 2021; Lecture #11; April 21, 2021	ECS 153, Spring 2021; Lecture #11; April 21, 2021 ECS 153 Spring 2021. Computer Security. This finishes the discussion of security policies. The video begins at 10:28 from the beginning. things level access policies network language confidentiality languages programs database control identity mechanisms permission directory lawyers test proof point trust From Matt Bishop 0 likes 54 plays 0
01:21:21 ECS 289A Lecture 7a ECS 289A Lecture 7a	ECS 289A Lecture 7a linear leader function delta species things thing functions kind predicates input inputs stuff sense configurations proof increment machine integer semi From David Doty 0 likes 20 plays 0
01:26:51 ECS 289A Lecture 6b ECS 289A Lecture 6b	ECS 289A Lecture 6b sequence element vectors elements delta thing proof integers configuration species lemma configurations things reactions vector graph point stuff union output From David Doty 0 likes 12 plays 0
15:53 ECS 220 9b:8.5 Immerman-Szelepcsényi… ECS 220 9b:8.5 Immerman-Szelepcsényi Theorem NSPACE(s(n)) = coNSPACE(s(n)) for s(n) ≥ log(n)	ECS 220 9b:8.5 Immerman-Szelepcsényi Theorem NSPACE(s(n)) = coNSPACE(s(n)) for s(n) ≥ log(n) space nodes reachability path algorithm node error steps bit proof paths length end graph zeros pad linear log guesses step From David Doty 0 likes 53 plays 0
03:52 ECS 220 9a:1-8.6 IP=PSPACE (no proof) ECS 220 9a:1-8.6 IP=PSPACE (no proof)	ECS 220 9a:1-8.6 IP=PSPACE (no proof) space verifier bit prover strategy fee formula proof game power words bits class b. fact p. variant sort bpp quarter From David Doty 0 likes 15 plays 0
05:26 ECS 220 6c:7.2-4 Gödel’s… ECS 220 6c:7.2-4 Gödel’s Incompleteness Theorem (consistency)	ECS 220 6c:7.2-4 Gödel’s Incompleteness Theorem (consistency) proof string epsilon guessing statement answer problem input algorithm godel completeness consistency searches theorem computation prove air negation programs contradiction From David Doty 0 likes 18 plays 0
06:36 ECS 220 6c:7.2-3 Gödel’s… ECS 220 6c:7.2-3 Gödel’s Incompleteness Theorem (soundness)	ECS 220 6c:7.2-3 Gödel’s Incompleteness Theorem (soundness) statement proof theorem problem statements godel contradiction machines negation systems stuff incompleteness distinction parallel tuple things turing programs language hilbert From David Doty 0 likes 20 plays 0
05:55 ECS 220 6c:7.2-2 From undecidable problems to… ECS 220 6c:7.2-2 From undecidable problems to unprovable truths	ECS 220 6c:7.2-2 From undecidable problems to unprovable truths statement rules proof axioms inference statements proofs contradiction reasoning thing systems hilbert 30s bit answer algorithm string kind negation properties From David Doty 0 likes 22 plays 0
11:33 ECS 220 6b:7.2-3 computable enumerability ECS 220 6b:7.2-3 computable enumerability	ECS 220 6b:7.2-3 computable enumerability proof input numbers p. characterization w. inputs steps enumerator amount problems loop direction verifier halts answer instance fact problem np From David Doty 0 likes 28 plays 0
08:46 ECS 220 6b:7.2-2 showing problems are undecidable… ECS 220 6b:7.2-2 showing problems are undecidable by reduction from halting problem	ECS 220 6b:7.2-2 showing problems are undecidable by reduction from halting problem input problem epsilon question string thing reduction problems halts output behavior lot divisor x. function notion circuit numbers proof condition From David Doty 0 likes 65 plays 0