This chapter describes a number of special types of linear programming problems. These problems arise in transportation systems, in communication systems, in pipeline systems, in electrical networks, in the pla
Introduction to Different Types of Linear Programming Problems Linear programming aims to discover the optimal value of a linear function of many variables (say \(x\) and \(y\)) under the criteria that the variables are non-negative and that a set of linear inequalities are satisfied, called ...
In most programming languages, functions are contravariant with regard to their arguments BIVARIANCE Types are bivariant if, from the subtyping relationship of their underlying types, they become subtypes of each other. In TypeScript, if Triangle is a subtype of Shape, the function types (argument...
Idris 2is a purely functional programming language with first class types. For installation instructions, seeINSTALL.md. Thewikilists a number of useful resources, in particular Things still missing Cumulativity (currentlyType : Type. Bear that in mind when you think you've proved something) ...
With Verus, programmers express proofs and specifications using the Rust language, allowing proofs to take advantage of Rust’s linear types and borrow checking. We show how this allows proofs to manipulate linearly typed permissions that let Rust code safely manipulate memory, pointers, a...
We provide two solutions to this resource management problem, adapting Hodas and Miller's input- output model of linear context management to a graded modal linear type theory. We evaluate the performance of both approaches via their implementation as a program synthesis tool for the programming ...
A statically-typed linear functional language with graded modal types for fine-grained program reasoning - granule-project/granule
CategoriesandSubjectDescriptorsD.3.2[ProgrammingLan- guages]:LanguageClassifications—Specializedapplicationlan- guages;F.3.3[Theoryofcomputation]:StudiesofProgramConst- ructs—Typestructure GeneralTermsDesign,Languages,Theory Keywordsdifferentialprivacy,typesystems,linearlogic,depen- ...
Recent mainstream programming languages such as Erlang or Scala have renewed the interest on the Actor model of concurrency. However, the literature on the static analysis of actor systems is still lacking of mature formal methods. In this paper we present a minimal actor calculus that takes as ...
It scales well with an unlimited number of users and is well suited for even large documents. Demos: https://github.com/yjs/yjs-demos Discuss: https://discuss.yjs.dev Chat: Gitter | Discord Benchmark Yjs vs. Automerge: https://github.com/dmonad/crdt-benchmarks Podcast "Yjs Deep Dive...