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ECS 235B Winter Quarter 2022, Lecture 2

Lecture 2, on January 5, 2022 of ECS 235B, Foundations of Computer and Information Security

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ECS 120 5a:2 definition of separating extension and L-equivalence

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ECS 220 8a:8.1-2 space-bounded complexity classes L and PSPACE

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ECS 220 7c:7.5-1 Turing's applied philosophy

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ECS 220 6a:7.2-1 programming languages with interpreters have non-halting programs

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ECS 220 3a:5-5.2 circuit to simulate Turing machine, Witness-Existence reduces to Circuit-SAT

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ECS 120 8a:3 introduction to NP-completeness and Boolean formulas

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ECS 120 6a:3 single-tape TMs can simulate multitape TMs

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ECS 120 5c:4 formal definition of TM semantics

errata: 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…

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ECS 120 5c:3 formal definition of TM syntax

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ECS 120 5c:2 example TM

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ECS 120 5c:1 introduction to Turing machines (TM)

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ECS 120 5b:7 pumping lemma proof that 1n2 is not regular

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ECS 120 5a:2 direct proof that equal zero-one is not regular

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ECS 120 5a:1 why we need rigor to argue that a language is not regular

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ECS 120 4c:1 NFAs can simulate regex_s proof

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