#Principal Of Programming Language
Church numerals are a way of representing natural numbers using lambda calculus. a foundational framework in mathematical logic and computer science. In essence
Redex is a deducible expression. It is a lambda abstraction applied to an argumentReduction replaces a redex with the result of applying the function.Beta Reduc
A formal system used to study functions, variables & how they interact through application & abstraction. It's a foundational mathematical framework tha
A type environment (T) maps variables names to theirs types. For example:+ is mapped to the type , Int -> Int -> Int y is mapped to the type Int Lambda E
In type theory, sub typing denoted by (<:) is a relation that describes when one type can be used in place of another type. It's more like flexible version o
Solve each of the following constraints. Let's first understand the tools to solve it:Constraint Solving in type inference involves finding a way to make d
How to solve it?Let's learn.A type environment (T) maps variables names to theirs types. For example:+ is mapped to the type , Int -> Int -> Int y is map
Static TypingDefinition: In statically typed languages, type checking is done at compile time. This means that the types of all variables must be known before t
To explain the concepts of soundness and completeness, particularly in the context of type checking and type inference, we can use analogies to make them easier
1. Ad-hoc Polymorphism Function or operator overloading based on different typesint add(int a, int b) { return a + b; } double add(double a, d
this lecture is from CSCE-550, Nov 12, 2024.The Why?Why understand the lecture on Programming language theory (Subtyping) is important to study ? Today's lectur
Inference rules are fundamental concepts in formal logic & reasoning, widely used in mathematics, computer science & especially in programming language
1. Problem runLengthEncode Implement a function called runLengthEncode that performs run-length encoding on a list of elements. Run-length encoding is a simpl
1. Function Definition:Functions are defined using equations: double x = x + x 2. Function Application:means apply function f to arguments x & yf x y
Before we learn any syntax or anything. Let's first explore the most important question to learn anything.That is to learn why learn Haskell?Let's explore what
