Certified Automated Theorem Proving for Type Inference.
... Γ`p:A Type computation problems: Γ ` p : A? – Type Checking; Γ ` p :? – Type Inference; Γ `? : A – Type Inhabitation. The latter is facilitated by tactic languages in ITP. This talk is about type inhabitation, too. All three are sometimes known under the name of “type inference", I’ll use this termi ...
... Γ`p:A Type computation problems: Γ ` p : A? – Type Checking; Γ ` p :? – Type Inference; Γ `? : A – Type Inhabitation. The latter is facilitated by tactic languages in ITP. This talk is about type inhabitation, too. All three are sometimes known under the name of “type inference", I’ll use this termi ...
Chapter 14
... try construct or not. This is useful for “cleanup” code (closing files, other freeing of resources, ...) that must always be executed. Binding of exceptions to handlers is both static and dynamic: • static: if try constructs are nested, then the nearest enclosing catch clause (from the point where t ...
... try construct or not. This is useful for “cleanup” code (closing files, other freeing of resources, ...) that must always be executed. Binding of exceptions to handlers is both static and dynamic: • static: if try constructs are nested, then the nearest enclosing catch clause (from the point where t ...
A Short Cut to Deforestation
... are involved there is a risk of performing in nite transformation by repeatedly unfolding the function de nition. To alleviate this, the algorithm has to keep track of which function calls have occurred previously, and so generate a suitable recursive de nition when a repeat occurs. This is a fold s ...
... are involved there is a risk of performing in nite transformation by repeatedly unfolding the function de nition. To alleviate this, the algorithm has to keep track of which function calls have occurred previously, and so generate a suitable recursive de nition when a repeat occurs. This is a fold s ...
Transformat ions on higher
... and others are not. To be able to exploit this we shall introduce an explicit distinction between known and unknown values or, using traditional compiler terminology, between compile-time entities and run-time entities. This leads to the following approach to the implementation of functional languag ...
... and others are not. To be able to exploit this we shall introduce an explicit distinction between known and unknown values or, using traditional compiler terminology, between compile-time entities and run-time entities. This leads to the following approach to the implementation of functional languag ...
An introduction to C++ template programming
... a much more general language. Object-oriented programming is one of many programming styles supported by C++11. Note that using classes in C++ does not by itself constitute object-oriented programming. The term “class” is used rather widely for user-defined types in C++ and more or less interchangea ...
... a much more general language. Object-oriented programming is one of many programming styles supported by C++11. Note that using classes in C++ does not by itself constitute object-oriented programming. The term “class” is used rather widely for user-defined types in C++ and more or less interchangea ...
PolyP | a polytypic programming language extension
... a -> Int, which counts the number of values of type a in a list. There is a very similar function length :: Tree a -> Int, which counts the number of occurrences of a's in a tree. We now want to generalise these two functions into a single function which is not only polymorphic in a, but also in the ...
... a -> Int, which counts the number of values of type a in a list. There is a very similar function length :: Tree a -> Int, which counts the number of occurrences of a's in a tree. We now want to generalise these two functions into a single function which is not only polymorphic in a, but also in the ...
Slides
... • Actions of type: Action () are like statements in imperative languages. – They are used only for their side effects. Lecture 1 ...
... • Actions of type: Action () are like statements in imperative languages. – They are used only for their side effects. Lecture 1 ...
document
... 2) If the size of the array is omitted, an array just big enough to hold the initialization is created. Therefore, if the user writes: E.g : int Array[] = {1,2,5,10,-3}; An array similar to the one mentioned above is created with the declared elements. This is very useful in that the size of the arr ...
... 2) If the size of the array is omitted, an array just big enough to hold the initialization is created. Therefore, if the user writes: E.g : int Array[] = {1,2,5,10,-3}; An array similar to the one mentioned above is created with the declared elements. This is very useful in that the size of the arr ...
Programming in Algorithms: Generic Programming and its Implementation By Daniel Giovannelli
... The roots of modern generic programming date back to the research conducted by two computer scientists, David Musser and Alexander Stepanov, in the early 1970s. Originally, Stepanov and Musser conceived of generic programming as a theoretical programming process in which speci c algorithms, de ned f ...
... The roots of modern generic programming date back to the research conducted by two computer scientists, David Musser and Alexander Stepanov, in the early 1970s. Originally, Stepanov and Musser conceived of generic programming as a theoretical programming process in which speci c algorithms, de ned f ...
9781285081953_PPT_ch10
... • A subclass cannot override methods declared static in the superclass • A subclass can hide a static method in the superclass by declaring a static method with the same signature as the static method in the superclass – Then call the new static method from within the subclass or in another class by ...
... • A subclass cannot override methods declared static in the superclass • A subclass can hide a static method in the superclass by declaring a static method with the same signature as the static method in the superclass – Then call the new static method from within the subclass or in another class by ...
Structural Types for the Factorisation Calculus
... calculus similar to combinatory logic, introduces the factorisation combinator F , whose reduction behaviour is different depending on whether its first argument is an operator or an application. This enables F to identify and decompose the internal structure of a term, and test for intensional equa ...
... calculus similar to combinatory logic, introduces the factorisation combinator F , whose reduction behaviour is different depending on whether its first argument is an operator or an application. This enables F to identify and decompose the internal structure of a term, and test for intensional equa ...
Week 3
... What do overloading and polymorphism have in common? Where do they differ? Answer: Both describe a situation where one method name can denote multiple methods. However, overloading is resolved early by the compiler, by looking at the types of the parameter variables. Polymorphism is resolved late, b ...
... What do overloading and polymorphism have in common? Where do they differ? Answer: Both describe a situation where one method name can denote multiple methods. However, overloading is resolved early by the compiler, by looking at the types of the parameter variables. Polymorphism is resolved late, b ...
1-16 - AD Book Enterprises
... • // Fig. 2.3: Welcome2.java // Printing a line of text with multiple statements public class Welcome2 { //main method begins execution of Java app public static void main ( String args[] ) ...
... • // Fig. 2.3: Welcome2.java // Printing a line of text with multiple statements public class Welcome2 { //main method begins execution of Java app public static void main ( String args[] ) ...
Design and Evaluation of Gradual Typing for Python
... Dyn). On the other hand, higher-order functions most commonly call their function parameters using positional arguments, so for such cases we provide the Pos annotation. For example, the map function would take a parameter of type Function(Pos(Dyn), Dyn); any function that takes a single parameter m ...
... Dyn). On the other hand, higher-order functions most commonly call their function parameters using positional arguments, so for such cases we provide the Pos annotation. For example, the map function would take a parameter of type Function(Pos(Dyn), Dyn); any function that takes a single parameter m ...
PPT
... • ;; ends an expression in the top-level of OCaml – Use it to say: “Give me the value of this expression” – Not used in the body of a function ...
... • ;; ends an expression in the top-level of OCaml – Use it to say: “Give me the value of this expression” – Not used in the body of a function ...
JSJS - Project Proposal
... a standard library for functions like List.hd and List.tl, and Map.get and Map.set. • Polymorphic Types Support for polymorphic types is another fundamental feature of functional programming. This allows functions to take arguments of generic types and perform some operation on them, without the fun ...
... a standard library for functions like List.hd and List.tl, and Map.get and Map.set. • Polymorphic Types Support for polymorphic types is another fundamental feature of functional programming. This allows functions to take arguments of generic types and perform some operation on them, without the fun ...
No Slide Title
... Similarities to methods - Initialization of object - Pass parameters Differences from methods - Same name as class - No return type Callback ...
... Similarities to methods - Initialization of object - Pass parameters Differences from methods - Same name as class - No return type Callback ...
Java_01
... modifiers that specify the properties of the data, methods, and classes and how they can be used. Examples of modifiers are public and static. Other modifiers are private, final, abstract, and protected. A public datum, method, or class can be accessed by other programs. A private datum or method ca ...
... modifiers that specify the properties of the data, methods, and classes and how they can be used. Examples of modifiers are public and static. Other modifiers are private, final, abstract, and protected. A public datum, method, or class can be accessed by other programs. A private datum or method ca ...
JAVA - Sunrise Academy, Ajmer
... 3. Portable: - The most significant contribution of Java over other language is its portability. Java programs can be easily moved from one computer system to another, any- where and anytime. Changes and upgrades in operating system, processors and system resources will not force any change in Java ...
... 3. Portable: - The most significant contribution of Java over other language is its portability. Java programs can be easily moved from one computer system to another, any- where and anytime. Changes and upgrades in operating system, processors and system resources will not force any change in Java ...
Practical Type Inference Based on Success Typings
... This is a function with two arguments, Pg and Mess, consisting of two guarded clauses. The first clause handles the case when the Pg argument is an atom; the second clause when Pg is a process identifier (an Erlang pid). When Pg is an atom, it denotes a globally registered process and the library fu ...
... This is a function with two arguments, Pg and Mess, consisting of two guarded clauses. The first clause handles the case when the Pg argument is an atom; the second clause when Pg is a process identifier (an Erlang pid). When Pg is an atom, it denotes a globally registered process and the library fu ...
Slides
... undecidable. If we want rank 2 polymorphism, we must use type annotations. Type-checking of rank 2 polymorphism is decidable What kind of annotations must we give? ...
... undecidable. If we want rank 2 polymorphism, we must use type annotations. Type-checking of rank 2 polymorphism is decidable What kind of annotations must we give? ...
Supplemental Reading 1
... Lets see how this works in the case of building the ind rule. We constuct a g^ from g, so that if we use g^ in rec ind we will derive ind(n b u i:g). Before we present g^, lets try to get a bit of the intuition. The most important part of the ind rule is its induction hypothesis. We want to speci ...
... Lets see how this works in the case of building the ind rule. We constuct a g^ from g, so that if we use g^ in rec ind we will derive ind(n b u i:g). Before we present g^, lets try to get a bit of the intuition. The most important part of the ind rule is its induction hypothesis. We want to speci ...
3_types
... // Beware: C++ does not prevent you from trying to use a variable // before you have initialized it (though a compiler typically warns) ...
... // Beware: C++ does not prevent you from trying to use a variable // before you have initialized it (though a compiler typically warns) ...
