Principles of Programming Languages Copyright By PowCoder代写 加微信 powcoder Recap: Logic Programming • State facts and rules for deriving new facts • Answer queries about those facts • Prolog program consists of facts, rules, and query • Prolog solver uses facts and rules to answer query • We write the program; the solver is implicit […]
The Functional Paradigm MinHS 1 Functional Programming Languages Dr. Liam O’Connor University of Edinburgh LFCS UNSW, Term 3 2020 The Functional Paradigm MinHS Functional Programming Many languages have been called functional over the years: Haskell maxOf :: [Int] → Int maxOf = foldr1 max Lisp [(= (length lst) 1) (first lst)] [else (max (first lst)
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Readers and Writers Haskell Issues with Locks Software Transactional Memory Wrap-up Bonus: Semantics for IO 1 Haskell Concurrency and STM Christine Rizkallah CSE, UNSW Term 3 2020 Readers and Writers Haskell Issues with Locks Software Transactional Memory Wrap-up Bonus: Semantics for IO Shared Data Consider the Readers and Writers problem: Problem We have a large
λ-Calculus Church Encodings 1 λ-Calculus Dr. Liam O’Connor University of Edinburgh LFCS UNSW, Term 3 2020 λ-Calculus Church Encodings λ-Calculus The term language we defined for Higher Order Abstract Syntax is almost a full featured programming language. Just enrich the syntax slightly: t ::= Symbol | x | t1 t2 | λx. t (variables) (application)
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Overloading Subtyping Overloading and Subtyping Christine Rizkallah CSE, UNSW Term 3 2020 1 Overloading Subtyping Motivation Suppose we added Float to MinHS. Ideally, the same functions should be able to work on both Int and Float. 4+6 :: Int 4.3 + 5.1 :: Float Similarly, a numeric literal should take on whatever type is inferred
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Natural Numbers Lists Trees Structural Induction with Haskell Dr. Liam O’Connor University of Edinburgh LFCS UNSW, Term 3 2020 1 Natural Numbers Lists Trees Definition Recap: Induction Let P(x) be a predicate on natural numbers x ∈ N. To show ∀x ∈ N. P(x), we can use induction: 2 Natural Numbers Lists Trees Recap: Induction
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1 Safety and Liveness; Exceptions Christine Rizkallah CSE, UNSW Term 3; 2020 Program Properties 2 Consider a sequence of states, representing the evaluation of a program in a small step semantics (a trace): σ1 →σ2 →σ3 →···→σn Observe that some traces are finite, whereas others are infinite. To simplify things, we’ll make all traces infinite
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COMP3161/COMP9164 Supplementary Lecture Notes Data Types Liam O’Connor, Gabriele Keller November 5, 2019 1 Composite Data Types Up to now, we only discussed primitive data types, like integers boolean values, and function types. This is not only an inconvenience, but it seriously restricts the expressiveness of the language. For example, we cannot define a function
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COMP3161/COMP9164 Supplementary Lecture Notes Parametric Polymorphism Liam O’Connor November 7, 2019 Polymorphism is a prominent part of most modern programming languages. It allows some form of generic programming, where values of different types can be manipulated by the same function. Parametric polymorphism, sometimes called generics in OO languages, is the simplest form of polymorphism1, where
Implicitly Typed MinHS Inference Algorithm Unification 1 Damas-Milner Type Inference Christine Rizkallah CSE, UNSW Term 3 2020 Implicitly Typed MinHS Inference Algorithm Unification Implicitly Typed MinHS Explicitly typed languages are awkward to use1. Ideally, we’d like the compiler to determine the types for us. Example What is the type of this function? recfunf x=fstx+1 We