PPT-Lambda Calculus

CSE 340 Principles of Programming Languages Fall 2015 Adam Doupé Arizona State University http adamdoupecom Lambda Calculus Language to express function application Ability to define anonymous functions. Practice session 3. תחביר ממשי (קונקרטי) ותחביר מופשט (אבסטרקטי). שיטות חישוב: . Applicative & Normal Evaluation. Partial Evaluation. תחביר מופשט . of Lambda Expressions in Java 8. Alfred V. Aho. aho@cs.columbia.edu. CS E6998-1: Advanced Topics in. Programming Languages and Compilers. September . 15, . 2014. Outline. What is the lambda calculus?. Slides by Julia . Hockenmaier. , Laura . McGarrity. , Bill McCartney, Chris Manning, and Dan Klein. Question Answering: . IBM’s Watson. Jeopardy challenge:. https://www.youtube.com/watch?v=seNkjYyG3gI. Casey Parsons. What is impact calculus?. You might remember on the first . powerpoint. that something called “impact calculus” was referenced a couple of times. It’s how we determine who wins the round . How . do you know . how fast. You are going? . “well . how do you know. How fast you’re going. Right now,. At this very second?” . Push your friend so . that his/her . speed . changes. Try . AC 2311 C ** Calculus I ( 4 ) AC 2312 ** Calculus II ( 4 ) AC 2313 ** ( 4 ) HY 2048 C ** Physics for Engineers I ( 4 ) HY 2049 C ** Physics for Engineers II ( 4 ) AP 2302 ** Differential 8. Newton & Leibniz. History & Philosophy of Calculus, Session . 8. The invention of the calculus. Newton and Leibniz in 17. th. Century invented the algorithmic procedures underlying the calculus. Newton & Leibniz. Summary. Calculus seems to demand some concept of the infinitesimal. Magnitude. New number. Or both?. But infinitesimals lack . clarity . Concepts that are not mathematical being used to interpret mathematics?.  . What is . λ-calculus ?. . “Lambda . calculus.  . is . a formal . system.  in . mathematical logic.  and computer science for expressing computation based on function abstraction and application using variable . The Return of the Infinitesimal?. So far on this course we’ve stayed close to mainstream mathematics.. In this final session we look at some more “fancy” material, much of it very recent.. These aren’t just techniques for doing complicated calculations – they represent new ways to think about geometry and continuity, and so they promise to raise some old philosophical questions. . Cases. CSCE 314. Spring 2016. Lambda Expressions. Functions can be constructed . without naming. the functions by using . lambda expressions. .. . x . . . x+x. This nameless function takes a number x and returns the result . Programming Languages and Compilers . Alfred V. Aho. aho@cs.columbia.edu. Lecture 1 – Introduction to Course. September 8, 2014. Lecture Outline. Introduction to course. Course overview. Prerequisites and background text. YangQuan Chen, Ph.D., Director, . MESA . (Mechatronics, Embedded Systems and Automation). Lab. MEAM/EECS, School of Engineering,. University of California, Merced. E. : . yqchen@ieee.org. ; . or. , yangquan.chen@ucmerced.edu. 1AC. . Look . for and list the following . things:. . What . is the claim to the impact?. What is the cite to the impact?. What is the warrant to the impact?. Impact Calculus . Magnitude- how large the impact is.