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Programming with Coq
Programming with Coq

... match x with 0 => 1 | S p => x * fact p end This simple schema only for natural numbers ! More complex schemas for other datatypes. ...
Closure and Environment
Closure and Environment

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Pragmatic Functional Programming in Dyalog

... Major Language Extensions Since IBM APL2 (1984) • 1995: Control structures (if/then/else) adopted by several vendors including Dyalog. • 1996: Optional lexical scope and lambda expressions in APL (“dfns” – Dyalog APL). • 2006: Object orientation (Dyalog, MicroAPL, VisualAPL). • 2014: Point-free or ...
Temporal Logic with “Until”, Functional Reactive Programming with
Temporal Logic with “Until”, Functional Reactive Programming with

... The function h denotes a time-varying value that does not persist forever, but vanishs immediately before t0 . We call this time-varying value the continuous part of p. The pair (t0 , z) denotes an event that immediately follows the continuous part. We call this event the terminal event of p. The va ...
An Operational Semantics for Declarative Multi
An Operational Semantics for Declarative Multi

... A subtle question is the meaning of such definitions if function calls are passed as parameters, e.g., the set of possible values of “double (choose 1 2)” w.r.t. the definition “double x = x+x.” Similarly to [10], Curry follows the “call-time choice” semantics where all descendants of a subterm are ...
Types and Programming Languages
Types and Programming Languages

... of fix expressions. There’s a small issue: let allows us to define values as well as functions, but we don’t want to allow recursively-defined values (why not?) A convenient solution is to distinguish between value and function definitions by using the keywords val and fun. let fun f(x:int):int = bo ...
Probabilistic Modelling, Inference and Learning using Logical
Probabilistic Modelling, Inference and Learning using Logical

pptx
pptx

... The “else” branch may be missing Returns in any case > if d < 0.0 then printfn "yay!";; val it : unit = () What can this return? > let n = (if (d = 0.0) then 1) error FS0001: This expression was expected to have type ‘unit’ but here has type ‘int’ NPRG049— Programovací jazyky OCaml a F# ...
Fast Functional Lists, Hash-Lists, Deques and Variable
Fast Functional Lists, Hash-Lists, Deques and Variable

... functional random access lists based to give a lg N indexing cost yet still maintain constant head and tail times. Okasaki [1995] Similar concepts together with the new technique of recursive slow down give functional deques with constant insert and remove times. Kaplan and Tarjan [1995] In this pap ...
(λx. From x Functions to x Types) Higher-Order
(λx. From x Functions to x Types) Higher-Order

A Simple and Efficient Compiler for a Minimal
A Simple and Efficient Compiler for a Minimal

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

Programming in Algorithms: Generic Programming and its Implementation By Daniel Giovannelli
Programming in Algorithms: Generic Programming and its Implementation By Daniel Giovannelli

Lazy evaluation - Computer Science and Engineering
Lazy evaluation - Computer Science and Engineering

Chapter 15
Chapter 15

... • A static-scoped functional language with syntax that is closer to Pascal than to LISP • Uses type declarations, but also does type inferencing to determine the types of undeclared variables (will see in Chapter 5) • It is strongly typed (whereas Scheme is essentially typeless) and has no type coer ...
The C++ language, STL
The C++ language, STL

... program if they don't hold. But often you don't want the program to abort but rather to handle the error in some way. ...
Slides
Slides

... by Bart Jacobs and Jan Rutten EATCS Bulletin 62 (1997) pp. 222-259 See link on papers page on class website ...
Chapter 15
Chapter 15

CoAlgebras
CoAlgebras

Class Notes 2b: Scheme Reference
Class Notes 2b: Scheme Reference

... • car, cdr, cons are the primitive functions that ensure all the necessary access to lists. Three other primitives are predicates: functions that return #t or #f. ...
Lazy Evaluation in Numeric Computing
Lazy Evaluation in Numeric Computing

Interpreters for two simple languages – including exercises
Interpreters for two simple languages – including exercises

Integrating Linear and Dependent Types
Integrating Linear and Dependent Types

A fully abstract semantics for a higher
A fully abstract semantics for a higher

... In Section 3 we present a λ-calculus with an explicit type constructor, and show (assuming the programs satisfy certain equivalences) that its models are precisely given by categorical structures: Programming construct Categorical equivalent Algebraic datatypes Categories with finite products Let-ex ...
Functional Programming in Scheme
Functional Programming in Scheme

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Standard ML

Standard ML (SML) is a general-purpose, modular, functional programming language with compile-time type checking and type inference. It is popular among compiler writers and programming language researchers, as well as in the development of theorem provers.SML is a modern descendant of the ML programming language used in the Logic for Computable Functions (LCF) theorem-proving project. It is distinctive among widely used languages in that it has a formal specification, given as typing rules and operational semantics in The Definition of Standard ML (1990, revised and simplified as The Definition of Standard ML (Revised) in 1997).
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