PPT
... • Can write semantics using lambda calculus, extended with operators like modify : (state var value) state ...
... • Can write semantics using lambda calculus, extended with operators like modify : (state var value) state ...
Lisp - University of Connecticut
... e.g., (DEFINE (square x) (* x x)) Example use: (square 5) - The evaluation process for DEFINE is different! The first parameter is never evaluated. The second parameter is evaluated and bound to the first parameter. Copyright © 2015 Pearson. All rights reserved. ...
... e.g., (DEFINE (square x) (* x x)) Example use: (square 5) - The evaluation process for DEFINE is different! The first parameter is never evaluated. The second parameter is evaluated and bound to the first parameter. Copyright © 2015 Pearson. All rights reserved. ...
19th Century Logic and 21st Century Computing
... Here the path on the left first reduces the increment (substituting for y), while the path on the right first reduces the square (substituting for x). The path on the right duplicates some work (it must reduce (λy. y + 1)(2) twice), but it gets to the same answer in the end, namely 9. That the order ...
... Here the path on the left first reduces the increment (substituting for y), while the path on the right first reduces the square (substituting for x). The path on the right duplicates some work (it must reduce (λy. y + 1)(2) twice), but it gets to the same answer in the end, namely 9. That the order ...
History of Lisp
... McCarthy, J. 1978. History of Lisp. In Preprints of Proceedings of ACM SIGPLAN History of Programming Languages Conference. SIGPLAN Notices, Vol. 13, pp. 217223 Wadler, Phillip. “Functional Programming: Why no one uses functional languages” ...
... McCarthy, J. 1978. History of Lisp. In Preprints of Proceedings of ACM SIGPLAN History of Programming Languages Conference. SIGPLAN Notices, Vol. 13, pp. 217223 Wadler, Phillip. “Functional Programming: Why no one uses functional languages” ...
A short introduction to the Lambda Calculus
... 2. Expressions in the λ-calculus. The λ-calculus is a notation for functions. It is extremely economical but at first sight perhaps somewhat cryptic, which stems from its origins in mathematical logic. Expressions in the λ-calculus are written in strict prefix form, that is, there are no infix or po ...
... 2. Expressions in the λ-calculus. The λ-calculus is a notation for functions. It is extremely economical but at first sight perhaps somewhat cryptic, which stems from its origins in mathematical logic. Expressions in the λ-calculus are written in strict prefix form, that is, there are no infix or po ...
4on1 - FSU Computer Science
... Functional Programming Today Attractive model of computation Absence of side effects makes expressions referentially transparent: the value of an expression depends solely on the function return values in it and not on evaluation order and/or values of global variables A function can always be coun ...
... Functional Programming Today Attractive model of computation Absence of side effects makes expressions referentially transparent: the value of an expression depends solely on the function return values in it and not on evaluation order and/or values of global variables A function can always be coun ...
![Scheme [PPT]](http://s1.studyres.com/store/data/000434604_1-ff9167cda1c43083f470d57127811028-300x300.png)
Scheme [PPT]
... – Takes as arguments a function and a sequence of lists – There must be as many lists as arguments of the function, and lists must have the same length – Applies the function on corresponding sets of elements from the lists – Returns all the results in a list ...
... – Takes as arguments a function and a sequence of lists – There must be as many lists as arguments of the function, and lists must have the same length – Applies the function on corresponding sets of elements from the lists – Returns all the results in a list ...
Lecture 3
... Module level scope (i.e., global variables) Built in scope (i.e., predefined python keywords) A word to the wise - do not name your variables when there is a danger of conflicting with modules your may ...
... Module level scope (i.e., global variables) Built in scope (i.e., predefined python keywords) A word to the wise - do not name your variables when there is a danger of conflicting with modules your may ...
Chapter 3
... – A parenthesized expression or list is evaluated in one of two ways: • If the first item is a keyword, a special rule is applied to evaluate the rest of the expression • An expression starting with a keyword is called a special form Programming Languages, Third Edition ...
... – A parenthesized expression or list is evaluated in one of two ways: • If the first item is a keyword, a special rule is applied to evaluate the rest of the expression • An expression starting with a keyword is called a special form Programming Languages, Third Edition ...
Chapter 3
... – A parenthesized expression or list is evaluated in one of two ways: • If the first item is a keyword, a special rule is applied to evaluate the rest of the expression • An expression starting with a keyword is called a special form Programming Languages, Third Edition ...
... – A parenthesized expression or list is evaluated in one of two ways: • If the first item is a keyword, a special rule is applied to evaluate the rest of the expression • An expression starting with a keyword is called a special form Programming Languages, Third Edition ...
functional prog. in scheme
... • apply takes a function and a list of arguments for it and returns the result of applying the function to them > (apply + ' (1 2 3)) ...
... • apply takes a function and a list of arguments for it and returns the result of applying the function to them > (apply + ' (1 2 3)) ...
fp_in_scheme
... • We’ll look at how the variable environments work to support this in the next topic, closures • But first, let’s see how to define a general version of compose taking any number of args ...
... • We’ll look at how the variable environments work to support this in the next topic, closures • But first, let’s see how to define a general version of compose taking any number of args ...
Chapter 11 slides
... • Church’s model of computing is called the lambda calculus – based on the notion of parameterized expressions (with each parameter introduced by an occurrence of the letter λ—hence the notation’s name. – Lambda calculus was the inspiration for functional programming – one uses it to compute by subs ...
... • Church’s model of computing is called the lambda calculus – based on the notion of parameterized expressions (with each parameter introduced by an occurrence of the letter λ—hence the notation’s name. – Lambda calculus was the inspiration for functional programming – one uses it to compute by subs ...
Functional Programming
... effective computation. Lambda calculus works with anonymous unary functions and the core action is the function application. In particular, function application is performed by a purely substitutive process: the (free) occurrences , within the function body, of the formal parameter of the function a ...
... effective computation. Lambda calculus works with anonymous unary functions and the core action is the function application. In particular, function application is performed by a purely substitutive process: the (free) occurrences , within the function body, of the formal parameter of the function a ...
Functional Programming
... A predicate is a procedure that always returns a boolean value (#t or #f). By convention, predicates usually have names that end in `?'. A mutation procedure is a procedure that alters a data structure. By convention, mutation procedures usually have names that end in `!'. ...
... A predicate is a procedure that always returns a boolean value (#t or #f). By convention, predicates usually have names that end in `?'. A mutation procedure is a procedure that alters a data structure. By convention, mutation procedures usually have names that end in `!'. ...
Functional Programming Languages (LISP/ Scheme)
... The resulting list is always newly allocated, except that it shares structure with the last list argument. The last argument may actually be any object; an improper list results if the last argument is not a proper list. ...
... The resulting list is always newly allocated, except that it shares structure with the last list argument. The last argument may actually be any object; an improper list results if the last argument is not a proper list. ...
unit 8 - WordPress.com
... The symbol #t represents the Boolean value true. False is represented by #f. Note the use here of quote ('); the symbol begins with x. Lambda expressions To create a function in Scheme one evaluates a lambda expression: [3] (lambda (x) (* x x)) ⇒ function The first "argument" to lambda is a list of ...
... The symbol #t represents the Boolean value true. False is represented by #f. Note the use here of quote ('); the symbol begins with x. Lambda expressions To create a function in Scheme one evaluates a lambda expression: [3] (lambda (x) (* x x)) ⇒ function The first "argument" to lambda is a list of ...
Display version
... The built-in special form (set! x val) changes the value of x to be val. Say we want a function that will print out how many times it’s been called. The following factory produces one of those: (define (make-counter) (let ((count 0)) (lambda () (set! count (+ 1 count)) (display count) (newline)))) ...
... The built-in special form (set! x val) changes the value of x to be val. Say we want a function that will print out how many times it’s been called. The following factory produces one of those: (define (make-counter) (let ((count 0)) (lambda () (set! count (+ 1 count)) (display count) (newline)))) ...
Functional Programming
... • The CR theorem states that if an expression can be reduced by zero or more reduction steps to either expression M or expression N then there exists some other irreducible expression, a normal form, to which both M and N can be reduced. – This implies that the normal form for any expression is uniq ...
... • The CR theorem states that if an expression can be reduced by zero or more reduction steps to either expression M or expression N then there exists some other irreducible expression, a normal form, to which both M and N can be reduced. – This implies that the normal form for any expression is uniq ...
Functional programming languages
... In an imperative language, operations are done and the results are stored in variables for later use Management of variables is a constant concern and source of complexity for imperative programming languages In an FPL, variables are not necessary, as is the case in mathematics ...
... In an imperative language, operations are done and the results are stored in variables for later use Management of variables is a constant concern and source of complexity for imperative programming languages In an FPL, variables are not necessary, as is the case in mathematics ...
lectur15
... In an imperative language, operations are done and the results are stored in variables for later use Management of variables is a constant concern and source of complexity for imperative programming languages In an FPL, variables are not necessary, as is the case in mathematics ...
... In an imperative language, operations are done and the results are stored in variables for later use Management of variables is a constant concern and source of complexity for imperative programming languages In an FPL, variables are not necessary, as is the case in mathematics ...