Introduction to Functional Programming

... an example of a functional form. Functional programming is based on the mathematical concept of a function. It includes a set of primitive functions and a set of functional forms. Pure functional languages perform all their computations via function application. The variables in functional languages ...

... an example of a functional form. Functional programming is based on the mathematical concept of a function. It includes a set of primitive functions and a set of functional forms. Pure functional languages perform all their computations via function application. The variables in functional languages ...

Higher-Order Functions for Parsing - Nottingham ePrints

... determine its logical structure. For example, the parsing phase in a compiler takes a program text, and produces a parse tree which expounds the structure of the program. Many programs can be improved by having their input parsed. The form of input which is acceptable is usually defined by a context ...

... determine its logical structure. For example, the parsing phase in a compiler takes a program text, and produces a parse tree which expounds the structure of the program. Many programs can be improved by having their input parsed. The form of input which is acceptable is usually defined by a context ...

Q-Midi - Q - Equational Programming Language

... simply denoted by juxtaposition. Thus, e.g., sin X denotes the application of the (built-in) sine function to an argument X. Applications to multiple arguments is achieved using nested single-argument applications. For instance, max X Y is an application of the standard library “maximum” function ma ...

... simply denoted by juxtaposition. Thus, e.g., sin X denotes the application of the (built-in) sine function to an argument X. Applications to multiple arguments is achieved using nested single-argument applications. For instance, max X Y is an application of the standard library “maximum” function ma ...

Python Crash Course

... Problem: Calculate GC-content of a DNA molecule GC-content: the percentage of nitrogenous bases on a DNA molecule which are either guanine or cytosine http://en.wikipedia.org/wiki/GC-content ...

... Problem: Calculate GC-content of a DNA molecule GC-content: the percentage of nitrogenous bases on a DNA molecule which are either guanine or cytosine http://en.wikipedia.org/wiki/GC-content ...

Lazy evaluation - Computer Science and Engineering

... • The reduction of the innermost redex forces evaluation of arguments before applications are performed. It is also called applicative reduction order. • The term eager evaluation was invented by Carl Hewitt and Henry Baker. Eager evaluation is used to implement strict functions. SML, Scheme have e ...

... • The reduction of the innermost redex forces evaluation of arguments before applications are performed. It is also called applicative reduction order. • The term eager evaluation was invented by Carl Hewitt and Henry Baker. Eager evaluation is used to implement strict functions. SML, Scheme have e ...

Programming with Miranda

... Functional languages are an example of the declarative style of programming, whereby a program gives a description (or “declaration”) of a problem to be solved together with various relationships that hold for it. It is the responsibility of the language implementation (perhaps a compiler or an inte ...

... Functional languages are an example of the declarative style of programming, whereby a program gives a description (or “declaration”) of a problem to be solved together with various relationships that hold for it. It is the responsibility of the language implementation (perhaps a compiler or an inte ...

Interpreters for two simple languages – including exercises

... • all value expressions are OK, even polymorphic ones, and • at top-level, polymorphic non-value expressions are forbidden An expresssion e in a declaration of the form let mutable id = e or equivalently let id = ref e is NOT considered a value expression (even when e is a constant) Interpreters for ...

... • all value expressions are OK, even polymorphic ones, and • at top-level, polymorphic non-value expressions are forbidden An expresssion e in a declaration of the form let mutable id = e or equivalently let id = ref e is NOT considered a value expression (even when e is a constant) Interpreters for ...

Coding a Lisp Interpreter in Shen: a Case Study

... Shen [19] is a functional language introduced in 2011 arising from development work on Qi [18]. The goal of the Shen project was to reproduce and extend the functionality of the Qi language within a RISC Lisp, K [20]. K consists of 46 primitive functions in which all Shen functions are translated ...

... Shen [19] is a functional language introduced in 2011 arising from development work on Qi [18]. The goal of the Shen project was to reproduce and extend the functionality of the Qi language within a RISC Lisp, K [20]. K consists of 46 primitive functions in which all Shen functions are translated ...

Types and Programming Languages

... names, fun and val to distinguish between function definitions (can be recursive) and value definitions (can’t be recursive)), introducing more convenient syntax for (fn x:T => e instead of x:T.e), and using = instead of is in function definitions, we get a BFL. BFL looks very much like a small s ...

... names, fun and val to distinguish between function definitions (can be recursive) and value definitions (can’t be recursive)), introducing more convenient syntax for (fn x:T => e instead of x:T.e), and using = instead of is in function definitions, we get a BFL. BFL looks very much like a small s ...

C+++: User-Defined Operator Symbols in C++

... To define generic operators, it is possible to define operator functions as function templates. Unlike built-in operators, new operators cannot be implemented by member functions of a class, but only by ordinary (i. e., global or namespace-scope) functions. To retain the original C++ rule that the m ...

... To define generic operators, it is possible to define operator functions as function templates. Unlike built-in operators, new operators cannot be implemented by member functions of a class, but only by ordinary (i. e., global or namespace-scope) functions. To retain the original C++ rule that the m ...

Imperative languages

... • Most of modern algorithms can be elegantly expressed in imperative languages ...

... • Most of modern algorithms can be elegantly expressed in imperative languages ...

... • Most of modern algorithms can be elegantly expressed in imperative languages ...

Functional Programming and Compiler Design

... Grouped together because we can do the same things to them … … we can add two numbers, but we can't add a picture to a number, and indeed we can't add two ...

... Grouped together because we can do the same things to them … … we can add two numbers, but we can't add a picture to a number, and indeed we can't add two ...

Pragmatic Functional Programming in Dyalog

... In ‘77, Backus did go on to say… • Unfortunately, APL still splits programming into a world of expressions and a world of statements. APL has exactly three functional forms, called inner product, outer product, and reduction*. • APL semantics is still too closely coupled to states. Consequently, de ...

... In ‘77, Backus did go on to say… • Unfortunately, APL still splits programming into a world of expressions and a world of statements. APL has exactly three functional forms, called inner product, outer product, and reduction*. • APL semantics is still too closely coupled to states. Consequently, de ...

Slide 1

... exists : ('a -> bool) -> 'a list -> bool for_all : ('a -> bool) -> 'a list -> bool map : ('a -> 'b) -> 'a list -> 'b list filter : ('a -> bool) -> 'a list -> 'a list iter : ('a -> unit) -> 'a list -> unit ...

... exists : ('a -> bool) -> 'a list -> bool for_all : ('a -> bool) -> 'a list -> bool map : ('a -> 'b) -> 'a list -> 'b list filter : ('a -> bool) -> 'a list -> 'a list iter : ('a -> unit) -> 'a list -> unit ...

Exact Bayesian Inference by Symbolic Disintegration

... Even before doing observation or inference, we can ask for the expected value of x under model m1a . To make it crystal clear that we are asking for the expectation of the function λ (x,y). x under the distribution denoted by model m1a , we write not the informal E(x) but the more explicit Em1a (λ ( ...

... Even before doing observation or inference, we can ask for the expected value of x under model m1a . To make it crystal clear that we are asking for the expectation of the function λ (x,y). x under the distribution denoted by model m1a , we write not the informal E(x) but the more explicit Em1a (λ ( ...

Functional Programming in Haskell

... • Values don't change over program execution: contrast x=x+1 etc. of Java, C, … •… instead we describe relations between values by means of (fixed) functions. ...

... • Values don't change over program execution: contrast x=x+1 etc. of Java, C, … •… instead we describe relations between values by means of (fixed) functions. ...

... • Values don't change over program execution: contrast x=x+1 etc. of Java, C, … •… instead we describe relations between values by means of (fixed) functions. ...

C# is a functional programming language

... .Concat type inference (Sort(tail.Where(x => x >= head))) ...

... .Concat type inference (Sort(tail.Where(x => x >= head))) ...

Functional programming languages - Part I - Gallium

... Elementary reductions can be chained to describe how a term evaluates: Termination: a → a1 → a2 → . . . → v The value v is the result of evaluating a. Divergence: a → a1 → a2 → . . . → an → . . . The sequence of reductions is infinite. Error: a → a1 → a2 → . . . → an 6→ when an is not a value but do ...

... Elementary reductions can be chained to describe how a term evaluates: Termination: a → a1 → a2 → . . . → v The value v is the result of evaluating a. Divergence: a → a1 → a2 → . . . → an → . . . The sequence of reductions is infinite. Error: a → a1 → a2 → . . . → an 6→ when an is not a value but do ...