Here we ......................
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I am a professor of Computer Science, and am passionate about it. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.
The views expressed in this video are not reflective of any of my current or former employers.
...
https://www.youtube.com/watch?v=lbEVyZ_UyUs
Don't be stupid, mmkay?
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ryan.e.dougherty@icloud.com
▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.
...
https://www.youtube.com/watch?v=PrF3Ci0FOPI
Easy Theory Website: https://www.easytheory.org
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ryan.e.dougherty@icloud.com
▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.
...
https://www.youtube.com/watch?v=anwyKFYbLdQ
Full Theory of Computation Lecture playlist: https://www.youtube.com/watch?v=OPaB-rpKhZ0&list=PLylTVsqZiRXMiTARmrsxCWU2RahyKB_Ae&index=1&t=1s
Lecture "a la carte" playlist: https://www.youtube.com/watch?v=gO9Ho9Dpu8k&list=PLylTVsqZiRXP51EfJWv8cxD6wIFTZQD9_&index=1
Here we define the regular operations, which are union, concatenation, and star. These are operations defined for languages (which are sets of strings). We also give examples, and define language closure, which is when an operation is applied to some language(s) in some collection and the result is in the same collection.
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ryan.e.dougherty@icloud.com
▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.
...
https://www.youtube.com/watch?v=1JAkNud38mk
Here we look at four languages: the set of TMs with empty language, the set of TMs that reach a certain state on a certain input in exactly 100 steps, the set of TMs with an undecidable language, and the set of TMs that accept at least 21 strings. We use Rice's theorem for three of the languages to show that they are undecidable. Not sure which ones? Watch the video to find out!
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▶ADDITIONAL QUESTIONS◀
1. What if the first language was all TMs with language not being the empty set?
2. What if the second language was all TMs that reach state q at *any* point in the computation on input w?
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ryan.e.dougherty@icloud.com
▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about CS theory. I have taught over 12 courses at Arizona State University, as well as Colgate University, including several sections of undergraduate theory.
▶ABOUT THIS CHANNEL◀
The theory of computation is perhaps the fundamental theory of computer science. It sets out to define, mathematically, what exactly computation is, what is feasible to solve using a computer, and also what is not possible to solve using a computer. The main objective is to define a computer mathematically, without the reliance on real-world computers, hardware or software, or the plethora of programming languages we have in use today. The notion of a Turing machine serves this purpose and defines what we believe is the crux of all computable functions.
This channel is also about weaker forms of computation, concentrating on two classes: regular languages and context-free languages. These two models help understand what we can do with restricted means of computation, and offer a rich theory using which you can hone your mathematical skills in reasoning with simple machines and the languages they define.
However, they are not simply there as a weak form of computation--the most attractive aspect of them is that problems formulated on them are tractable, i.e. we can build efficient algorithms to reason with objects such as finite automata, context-free grammars and pushdown automata. For example, we can model a piece of hardware (a circuit) as a finite-state system and solve whether the circuit satisfies a property (like whether it performs addition of 16-bit registers correctly). We can model the syntax of a programming language using a grammar, and build algorithms that check if a string parses according to this grammar.
On the other hand, most problems that ask properties ab
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https://www.youtube.com/watch?v=b2Gy6AArupo
Here we show that two different definitions of NP are equivalent.
Easy Theory Website: https://www.easytheory.org
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▶SEND ME THEORY QUESTIONS◀
ryan.e.dougherty@icloud.com
▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.
...
https://www.youtube.com/watch?v=fHVCOOg8KXw
Here we make two adjustments to PDAs that we can always assume: that the stack is forced to be empty, and that every transition either pushes or pops, but not both. This is the start of the conversion from CFG to PDA, and allows the stack to change height by 1 on every transition. (Note that the "final" step at the end of the video is not complete because it has triple-epsilon transitions in it; see if you can "fix" it ;)
Easy Theory Website: https://www.easytheory.org
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#easytheory #gate #theory
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▶SEND ME THEORY QUESTIONS◀
ryan.e.dougherty@icloud.com
▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.
...
https://www.youtube.com/watch?v=dBdLhz14NSE
Here we go over five examples of making a context-free grammar for a given set of languages. Generally we recommend to look at the properties of the language to build the CFG: how it is built up (via unions, concatenations, etc.), how counts of variables are used, edge cases, etc. The purpose of these five examples are to give an easy baseline of what is generally expected for making CFGs, and I give guidelines for them.
Timeline:
0:00 - Intro
0:15 - CFG for (0 U 1)*
2:16 - CFG for {0^n 1^m : n, m at least 0}
6:07 - CFG for Palindromes
9:09 - CFG for Union, Concatenation, Star of two CFLs
13:19 - CFG for {a^i b^j c^k : i != j}
Easy Theory Website: https://www.easytheory.org
Discord: https://discord.gg/SD4U3hs
If you like this content, please consider subscribing to my channel: https://www.youtube.com/channel/UC3VY6RTXegnoSD_q446oBdg?sub_confirmation=1
▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about it. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.
The views expressed in this video are not reflective of any of my current or former employers.
...
https://www.youtube.com/watch?v=HhpLMIUs8IM
Here we do an example of the regular expression to nondeterministic finite automaton (NFA) conversion. The basic idea is to make a small NFA for the "indivisible" pieces, then combine them using union, concatenation, and star as the case may be.
Thanks to the following supporters of the channel for helping support this video. If you want to contribute, links are below. Names are listed in alphabetical order by surname.
Platinum: Micah Wood
Silver: Dolev Abuhazira, Simone Glinz, Timmy Gy, Josh Hibschman, Patrik Keinonen, Travis Schnider, and Tao Su
Easy Theory Website: https://www.easytheory.org
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If you like this content, please consider subscribing to my channel: https://www.youtube.com/channel/UC3VY6RTXegnoSD_q446oBdg?sub_confirmation=1
▶SEND ME THEORY QUESTIONS◀
ryan.e.dougherty@icloud.com
▶ABOUT ME◀
I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.
...
https://www.youtube.com/watch?v=VbR1mGdP99s