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Modeling, Specification Languages, Array Programs
Modeling, Specification Languages, Array Programs

... Type map α denotes maps indexed by integers holding values of type α. In this axiomatization, the indexes are unbounded; the case of bounded arrays will be addressed later. The function select allows to access the i-th element of a map, that is, select(a,i) models the usual notation a[i]. The functi ...
ppt - Dave Reed
ppt - Dave Reed

...  can discard the current activation record, push record for new recursive call  thus, no limit on recursion depth (each recursive call reuses the same memory)  Scheme interpreters are required to perform this tail-recursion optimization ...
ppt - Dave Reed
ppt - Dave Reed

...  can discard the current activation record, push record for new recursive call  thus, no limit on recursion depth (each recursive call reuses the same memory)  Scheme interpreters are required to perform this tail-recursion optimization ...
Functions, recursion and lists
Functions, recursion and lists

... z->val = y->val; z->next = y->next; y->val = x; y->next = z; ...
ML Functions - Welcome to Computer Science
ML Functions - Welcome to Computer Science

... Even Functions may define other Functions!, as in this example: Fun try (a, x) = a x; > val try = fn : (‘a -> ‘b) * ‘a -> ‘b ...
Functional Imperative Style
Functional Imperative Style

... • a step function that determines the parameters for the next step in the loop. The termination test takes a number of parameters and returns a boolean, the step function takes the same parameters and computes new values for those parameters. ...
Functional Programming
Functional Programming

... – Applicative programming has often been considered the application of first-order functions. – Functional programming has been considered to include higher-order functions: functionals. CMSC331. Some material © 1998 by Addison Wesley Longman, Inc. ...
08 – Functional Paradigm and Scheme
08 – Functional Paradigm and Scheme

... Higher-Order Functions Most functional languages provide clean mechanisms for passing functions around as if they were data. There are two cases: 1. Functions as input to other functions 2. Functions as output from other functions Let’s consider each case. Most students find the first case the easie ...
Functional Programming
Functional Programming

... To understand a function, you need examine only the function itself A function can use other functions, and of course you need to know what those functions are supposed to compute (but nothing about how they do it) In addition, functions can be called in any order, including in parallel ...
Functional Programming
Functional Programming

... To understand a function, you need examine only the function itself A function can use other functions, and of course you need to know what those functions are supposed to compute (but nothing about how they do it) In addition, functions can be called in any order, including in parallel ...
slides 4-up
slides 4-up

... • Church: typed λ-calculus to avoid paradoxes • no self-application ...
Haskell exercises set 1
Haskell exercises set 1

... Any command can be abbreviated by its first character. If you work with a file, as in the section ‘Exercises’, it is convenient to open the file in an editor for modifying your script, and use the Haskell compiler in a terminal. Once your file is correctly loaded, you can use in the interpreter the ...
Functional Programming
Functional Programming

... Higher-order functions: functions that take other functions as input parameters or return functions Polymorphism: the ability to write functions that operate on more than one type of data Aggregate constructs for constructing structured objects: the ability to specify a structured object in-line suc ...
Functional Languages and Higher
Functional Languages and Higher

... • Local variables need to be stored on heap if they can escape and be accessed after the defining function returns • It happens only if – the variable is referenced from within some nested function – the nested function is returned or passed to some function that might store it in a data structure ...
Hello, World!
Hello, World!

... Rule 4 always holds. Think about what you are doing now, not what some recursive call is doing ...
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... that transforms Lisp into a code representation. Then macro calls are expanded into the code representation.  A reader macro is a special kind of macro that is expanded during the reader phase  A reader macro is a definition of a single character, which is expanded into its Lisp definition  An ex ...
PPT
PPT

... • Attempt at orthogonal design backfires – parameter must be given a type – type cannot contain variables How could this have happened? Emphasis on teaching ...
Functional programming languages
Functional programming languages

... It is possible in Scheme to define a function that builds Scheme code and requests its interpretation, This is possible because the interpreter is a user-available function, EVAL For example, suppose we have a list of numbers that must be ...
lectur15
lectur15

... It is possible in Scheme to define a function that builds Scheme code and requests its interpretation, This is possible because the interpreter is a user-available function, EVAL For example, suppose we have a list of numbers that must be ...
Introduction to Emacs and Emacs lisp
Introduction to Emacs and Emacs lisp

... List can have number in it e.g. (+ 2 2) In Lisp, both data and programs are represented the same way which are both lists of words, numbers, or other lists, separated by whitespace and surrounded by parentheses. E.g.'(this list has (a list inside of it)) ...
Lambda Calculus and Functional Programming
Lambda Calculus and Functional Programming

... single-argument function f, and returns another singleargument function. The Church numeral n is a function that takes a function f as argument and returns the n-th composition of f, i.e. the function f composed with itself n times. This is denoted f(n) and is in fact the n-th power of f (considered ...
Chapter 15 - Department of Computer Science University of Miami
Chapter 15 - Department of Computer Science University of Miami

... • Arithmetic series with the .. operator e.g., [2, 4..10] is [2, 4, 6, 8, 10] • Catenation is with ++ e.g., [1, 3] ++ [5, 7] results in [1, 3, 5, 7] • CONS, CAR, CDR via the colon operator (as in Prolog) e.g., 1:[3, 5, 7] results in [1, 3, 5, 7] ...
Register Allocation
Register Allocation

... • An interpreter for Haskell, and the most widely used implementation of the language; • An interactive system, which is well-suited for teaching and prototyping purposes; • Hugs is freely available from: www.haskell.org/hugs ...
Functional Programming
Functional Programming

... Higher-order functions: functions that take other functions as input parameters or return functions Polymorphism: the ability to write functions that operate on more than one type of data Aggregate constructs for constructing structured objects: the ability to specify a structured object in-line suc ...
doc
doc

... as some imperative style code. Some part of the clarity of the code comes from the programmer’s level of understanding of the language and syntax. There is an example in the experiment of one programmer trying to compress as many statements onto a single line to reduce the line count, defeating the ...
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Currying

In mathematics and computer science, currying is the technique of translating the evaluation of a function that takes multiple arguments (or a tuple of arguments) into evaluating a sequence of functions, each with a single argument (partial application). It was introduced by Moses Schönfinkeland later developed by Haskell Curry.Uncurrying is the dual transformation to currying, and can be seen as a form of defunctionalization. It takes a function f(x) that returns another function g(y) as a result, and yields a new function f′(x, y) that takes a number of additional parameters and applies them to the function returned by function f. The process can be iterated.
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