CS 461 Subroutines and Control Abstraction Parameter Passing Modes Yanling Wang Computer Science and Engineering Penn State University Carnegie Mellon 1 This lecture – Parameter Passing ¢ Parameters vs. Arguments § Most subroutines are parameterized § Parameter names in function declaration – Formal Parameters § Variables and expressions that are passed to a subroutine in […]
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CS 461 Lambda Calculus 3: Substitution, ⍺ and β reductions Yanling Wang Computer Science and Engineering Penn State University Carnegie Mellon 1 Syntax vs. Semantics Syntax: the structure/form of lambda terms Semantics: the meaning of lambda terms ¢ Lambda calculus defines computation ¢ What computation is defined by 𝑡 ? Carnegie Mellon 2 Capture-Avoiding Substitution
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CS 461 Lambda Calculus 5: Church Encoding 2 Yanling Wang Computer Science and Engineering Penn State University Carnegie Mellon 1 How to encode things in 𝝀-Calculus ¢ Booleans (last lecture) § True, False § Boolean operations: and, or, … § if expression: if condition then-expr else-expr ¢ Natural Numbers (last lecture and today’s lecture) §
CS计算机代考程序代写 Lambda Calculus scheme CS 461 Read More »
CS 461 Lambda Calculus 9: Functional Programming in Racket (3) Yanling Wang Computer Science and Engineering Penn State University Carnegie Mellon 1 Higher Order Functions in Functional Programming ¢ Second-Order Functions § Languages where it allows a function as an argument to another function. ¢ First-Order Functions § Languages where it allows a function to
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CMPSC 461: Programming Language Concepts Midterm 2 Practice Questions Racket Programming Problem 1 a) (2pt) Given the following racket code,what is the output of the program? #lang racket (define (mystery1 t) (foldl cons null t)) (mystery1 ’(1 2 3)) b) (6pt) We define the size of a value as follows: the size of a non-list
CS 461 Lambda Calculus 7: Functional Programming in Racket Yanling Wang Computer Science and Engineering Penn State University Carnegie Mellon 1 How to encode things in 𝝀-Calculus ¢ Booleans (lecture 18/19) § True, False § Boolean operations: and, or, … § if expression: if condition then-expr else-expr ¢ Natural Numbers (lecture 18/19) § Natural numbers
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== Typed Lambda Calculus == Replace the data type exp in /interpreter/interpreter.ml with the following data type: type exp = | True | False | If of exp * exp * exp | Num of int | IsZero of exp | Plus of exp * exp | Mult of exp * exp | Var of
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cse130 https://ucsd-cse130.github.io/wi21/lectures/01-lambda.html Lambda Calculus Your Favorite Language Probably has lots of features: Assignment (x = x + 1) Booleans, integers, characters, strings, … Conditionals Loops return, break, continue Functions Recursion References / pointers Objects and classes Inheritance … Which ones can we do without? What is the smallest universal language? 1 of 69 1/7/21, 8:59
Lambda Calculus CSE130 – WI19 Agenda ¡ñ What is the lambda calculus ¡ñ Syntax in a nutshell ¡ñ Alpha and Beta reductions ¡ñ PA0 tips Agenda ¡ñ What is the lambda calculus ¡ñ Syntax in a nutshell ¡ñ Alpha and Beta reductions ¡ñ PA0 tips What is the Lambda Calculus A simple programming language that
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cse130 https://ucsd-cse130.github.io/wi21/lectures/01-lambda.html Describing a Programming Language Syntax: what do programs look like? Semantics: what do programs mean? Operational semantics: how do programs execute step-by-step? Syntax: What Programs Look Like 7 of 69 1/7/21, 8:59 AM cse130 https://ucsd-cse130.github.io/wi21/lectures/01-lambda.html 8 of 69 e ::= x | (\x -> e) ns ‘e’ | (e1 e2) — variable ‘x’