David Evans http://www.cs.virginia.edu/~evans Lecture 1: Introduction Background just got here last week finished degree at MIT week before Philosophy of advising students don’t come to grad school to implement someone else’s idea can get paid more to do that in industry learn to be a researcher important part of that is deciding what problems and ideas are worth spending time on grad students should have their own project looking for students who can come up with their own ideas for research will take good students interested in things I’m interested in – systems, programming languages & compilers, security rest of talk – give you a flavor of the kinds of things I am interested in meant to give you ideas (hopefully even inspiration!) but not meant to suggest what you should work on CS200: Computer Science University of Virginia Computer Science David Evans http://www.cs.virginia.edu/~evans
Menu What Is Computer Science? Why Computer Science is Not Engineering First Main Theme: Recursive Definitions Course Mechanics Pictures 16 January 2002 CS 200 Spring 2002
What is Computer Science? 16 January 2002 CS 200 Spring 2002
Euclid’s Elements, Book VII, Proposition 2 (300BC) Let AB and CD be the two given numbers not relatively prime. It is required to find the greatest common measure of AB and CD. If now CD measures AB, since it also measures itself, then CD is a common measure of CD and AB. And it is manifest that it is also the greatest, for no greater number than CD measures CD. But, if CD does not measure AB, then, when the less of the numbers AB and CD being continually subtracted from the greater, some number is left which measures the one before it. Euclid’s Elements, Book VII, Proposition 2 (300BC) 16 January 2002 CS 200 Spring 2002
Ada, Countess of Lovelace, around 1830 By the word operation, we mean any process which alters the mutual relation of two or more things, be this relation of what kind it may. This is the most general definition, and would include all subjects in the universe. Again, it might act upon other things besides number, were objects found whose mutual fundamental relations could be expressed by those of the abstract science of operations, and which should be also susceptible of adaptations to the action of the operating notation and mechanism of the engine... Supposing, for instance, that the fundamental relations of pitched sounds in the science of harmony and of musical composition were susceptible of such expression and adaptations, the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent. Ada, Countess of Lovelace, around 1830 16 January 2002 CS 200 Spring 2002
What is the difference between Euclid and Ada? “It depends on what your definition of ‘is’ is.” Bill Gates (at Microsoft’s anti- trust trial) 16 January 2002 CS 200 Spring 2002
Geometry vs. Computer Science Geometry (mathematics) is about declarative knowledge: “what is” If now CD measures AB, since it also measures itself, then CD is a common measure of CD and AB Computer Science is about imperative knowledge: “how to” Computer Science has nothing to do with beige (or translucent blue) boxes called “computers” and is not a science. 16 January 2002 CS 200 Spring 2002
Computer Science “How to” knowledge: Ways of describing imperative processes (computations) Ways of reasoning about (predicting) what imperative processes will do Language Logic 16 January 2002 CS 200 Spring 2002
Science, Engineering, Other? 16 January 2002 CS 200 Spring 2002
Science? Understanding Nature through Observation About real things like bowling balls, black holes, antimatter, electrons, comets, etc. Math and Computer Science are about fake things like numbers, graphs, functions, lists, etc. Computer Science is a useful tool for doing real science, but not a real science 16 January 2002 CS 200 Spring 2002
Engineering? “Engineering is design under constraint… Engineering is synthetic - it strives to create what can be, but it is constrained by nature, by cost, by concerns of safety, reliability, environmental impact, manufacturability, maintainability and many other such 'ilities.' ...” William Wulf 16 January 2002 CS 200 Spring 2002
Apollo Guidance Computer, 1969 Why did they need to fit the guidance computer in the rocket? 1 Cubic Foot 16 January 2002 CS 200 Spring 2002
Measuring Computers 1 bit = smallest unit of information True or False If we start with 2 possible choices, and get 1 bit, we can eliminate one of the choices 16 January 2002 CS 200 Spring 2002
How much power? Apollo Guidance Computer: 30 720 bits of changeable memory (stored in magnetic core) Lab machines have 386 MB (RAM) 1 Byte = 8 bits 1 Kilobyte = 1024 Bytes 1 Megabyte = 1024 Kilobytes 386 MB = 3 238 002 688 bits > (* 386 1024 1024 8) 3238002688 You have 105 404 times more power than Apollo > (round (/ (* 386 1024 1024 8) 30720)) 105404 If Apollo Guidance Computer power is 1 in, you have 1.6 miles! 16 January 2002 CS 200 Spring 2002
Computing Power 1969-2002 (in Apollo Control Computer Units) Moore’s Law: computing power doubles every 18 months!
Constraints Computer Scientists Face Not like those for engineers: Cost, weight, physics, etc. If 4 Million times what people had in 1969 isn’t enough for you, wait until 2006 and you will have 32 Million times… More like those for Musicians and Poets: Imagination and Creativity Complexity of what we can understand 16 January 2002 CS 200 Spring 2002
So, what is computer science? No: its about fake things like numbers, not about observing and understanding nature Engineering No: we don’t have to deal with engineering-type constraints Liberal Art 16 January 2002 CS 200 Spring 2002
The Liberal Arts Quadrivium (4 roads) Trivium (3 roads) language numbers Trivium (3 roads) Quadrivium (4 roads) Grammar Rhetoric Logic Arithmetic Music Geometry Astronomy 16 January 2002 CS 200 Spring 2002
Liberal Arts Trivium Quadrivium Grammar: study of meaning in written expression Rhetoric: comprehension of verbal and written discourse Logic: argumentative discourse for discovering truth Arithmetic: understanding numbers Geometry: quantification of space Music: number in time Astronomy: laws of the planets and stars Yes, we need to understand meaning to describe computations Trivium Interfaces between components, discourse between programs and users Logic for controlling and reasoning about computations Yes (PS 6) Yes (PS 1, 2, 3) Quadrivium Yes, its called GEB for a reason! No, but astronomy uses CS a lot. See corrected version in Lecture 13! 16 January 2002 CS 200 Spring 2002
Bold (Possibly Untrue) Claim This course is the most consistent with the original intent of a Liberal Arts education of any course offered at UVA this semester! 16 January 2002 CS 200 Spring 2002
First Main Theme 16 January 2002 CS 200 Spring 2002
Question What is the longest word in the English language? 16 January 2002 CS 200 Spring 2002
floccipoccinihilipilification the act of rendering useless Longest word? floccipoccinihilipilification the act of rendering useless 16 January 2002 CS 200 Spring 2002
antifloccipoccinihilipilification Making Longer Words antifloccipoccinihilipilification the act of not rendering useless antifloccipoccinihilipilificationator one who does the act of not rendering useless 16 January 2002 CS 200 Spring 2002
Language is Recursive No matter what word you think is the longest word, I can always make up a longer one! word ::= anti-word If you have a word, you can always make up a new word by adding anti in front. Since the result is a word, you can make a longer new word by adding anti- in front again. 16 January 2002 CS 200 Spring 2002
Recursive Definitions We can define things in terms of themselves Recursive definitions are different from circular definitions: they eventually end with something real word ::= anti-word word ::= floccipoccinihilipilification 16 January 2002 CS 200 Spring 2002
Recursive Definitions Allow us to express infinitely many things starting with a few. This is powerful! We will see lots of examples in this course. 16 January 2002 CS 200 Spring 2002
Course Philosophy and Mechanics 16 January 2002 CS 200 Spring 2002
Staff Coach: David Evans Assistant Coaches Joined UVA in Nov 1999 Call me “Dave” or “Coach” Research areas: security, programming swarms Assistant Coaches Aaron (“Spiff”) Crickenberger Jon Erdman Dante Guanlao Stephen Liang 16 January 2002 CS 200 Spring 2002
CS200 Experiment First time offered Need to prove that CLAS students can do real Computer Science First time offered I will probably make lots of mistakes But…you get to take it in a small class 16 January 2002 CS 200 Spring 2002
Like Drinking from a Firehose It may hurt a little bit, and a lot of water will go by you, but you won’t go away thirsty! 16 January 2002 CS 200 Spring 2002
Persistence Don’t expect to understand everything the first (or second or third) time you see it Don’t worry if you don’t always understand everything completely But, make sure to understand the most important things well Notes and Problem Sets should make it clear what this is You will learn most from doing the Problem Sets 16 January 2002 CS 200 Spring 2002
Help Available Me TAs Web site: http://www.cs.virginia.edu/cs200 Office Hours: Wednesdays 2:30-3:30pm Always available by email, if I don’t reply in 24 hours, send again and complain Lunch TAs Will post staffed lab hours Web site: http://www.cs.virginia.edu/cs200 Everything goes on the web But mainly: your classmates 16 January 2002 CS 200 Spring 2002
Honor Code Classroom Pledge is Horrible! The whole point of being at a University is so you can: Learn from your classmates Learn better by teaching your classmates Sign and return the CS200 Pledge on Friday 16 January 2002 CS 200 Spring 2002
Don’t floccipoccinihilipilificate Charge Before 5pm Thursday: Email registration survey Need these to assign PS1 teams Before Friday: Read and sign CS 200 Pledge Read GEB p. 3-41 Try to produce “MU”, anyone who does gets an automatic A+ in the course Don’t floccipoccinihilipilificate Remember to take pictures! 16 January 2002 CS 200 Spring 2002