|
Proof Assistants
In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human–machine collaboration. This involves some sort of interactive proof editor, or other User interface, interface, with which a human can guide the search for proofs, the details of which are stored in, and some steps provided by, a computer. A recent effort within this field is making these tools use artificial intelligence to automate the formalization of ordinary mathematics. System comparison * ACL2 – a programming language, a first-order logical theory, and a theorem prover (with both interactive and automatic modes) in the Boyer–Moore tradition. * Rocq (software), Rocq (formerly known as ''Coq'') – Allows the expression of mathematical assertions, mechanically checks proofs of these assertions, helps to find formal proofs, and extracts a certified program from the constructive proof ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matt Kaufmann
Matt Kaufmann is a senior research scientist in the department of computer sciences at the University of Texas at Austin, United States. He was a recipient of the 2005 ACM Software System Award along with Robert S. Boyer and J Strother Moore, for his work on the Nqthm, Boyer-Moore Theorem Prover. , Association for Computing Machinery, 2005. References External links Matt Kaufmann homepage * Year of birth missing (living people) Living people American computer scientists University of Texas at Austin faculty Formal methods people Lisp (programming language) people ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
HOL Light
HOL Light is a proof assistant for classical higher-order logic. It is a member of the HOL theorem prover family. Compared with other HOL systems, HOL Light is intended to have relatively simple foundations. HOL Light is authored and maintained by the mathematician and computer scientist John Harrison. HOL Light is released under the simplified BSD license. Logical foundations HOL Light is based on a formulation of type theory In mathematics and theoretical computer science, a type theory is the formal presentation of a specific type system. Type theory is the academic study of type systems. Some type theories serve as alternatives to set theory as a foundation of ... with equality as the only primitive notion. The primitive rules of inference are the following: This formulation of type theory is very close to the one described in section II.2 of . References * Further reading * External links * {{ML programming Free theorem provers Proof assistants OCaml ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Microsoft Research
Microsoft Research (MSR) is the research subsidiary of Microsoft. It was created in 1991 by Richard Rashid, Bill Gates and Nathan Myhrvold with the intent to advance state-of-the-art computing and solve difficult world problems through technological innovation in collaboration with academic, government, and industry researchers. The Microsoft Research team has more than 1,000 computer scientists, physicists, engineers, and mathematicians, including Turing Award winners, Fields Medal winners, MacArthur Fellows, and Dijkstra Prize winners. Between 2010 and 2018, 154,000 AI patents were filed worldwide, with Microsoft having by far the largest percentage of those patents, at 20%.Louis Columbus, January 6, 201Microsoft Leads The AI Patent Race Going Into 2019 ''Forbes'' According to estimates in trade publications, Microsoft spent about $6 billion annually in research initiatives from 2002 to 2010 and has spent from $10–14 billion annually since 2010. Microsoft Research has made si ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
F* (programming Language)
F* (pronounced ''F star'') is a high-level, multi-paradigm, functional and object-oriented programming language inspired by the languages ML, Caml, and OCaml, and intended for program verification. It is a joint project of Microsoft Research, and the French Institute for Research in Computer Science and Automation (Inria). Its type system includes dependent types, monadic effects, and refinement types. This allows expressing precise specifications for programs, including functional correctness and security properties. The F* type-checker aims to prove that programs meet their specifications using a combination of satisfiability modulo theories (SMT) solving and manual proofs. For execution, programs written in F* can be translated to OCaml, F#, C, WebAssembly (via KaRaMeL tool), or assembly language (via Vale toolchain). Prior F* versions could also be translated to JavaScript. It was introduced in 2011. and is under active development on GitHub. History Version ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
INRIA
The National Institute for Research in Digital Science and Technology (Inria) () is a French national research institution focusing on computer science and applied mathematics. It was created under the name French Institute for Research in Computer Science and Automation (IRIA) () in 1967 at Rocquencourt near Paris, part of Plan Calcul. Its first site was the historical premises of SHAPE (central command of NATO military forces), which is still used as Inria's main headquarters. In 1980, IRIA became INRIA. Since 2011, it has been styled ''Inria''. Inria is a Public Scientific and Technical Research Establishment (EPST) under the double supervision of the French Ministry of National Education, Advanced Instruction and Research and the Ministry of Economy, Finance and Industry. Administrative status Inria has nine research centers distributed across France (in Bordeaux, Grenoble- Inovallée, Lille, Lyon, Nancy, Paris- Rocquencourt, Rennes, Saclay, and Sophia Antipolis) a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rocq (software)
The Rocq Prover (previously known as Coq) is an proof assistant, interactive theorem prover first released in 1989. It allows the expression of mathematical assertions, mechanical checking of proofs of these assertions, assists in finding formal proofs using proof automation routines and extraction of a certified program from the constructive proof of its formal specification. Rocq works within the theory of the ''calculus of inductive constructions'', a derivative of the ''calculus of constructions''. Rocq is not an automated theorem prover but includes automatic theorem proving tactics (Subroutine, procedures) and various Decidability (logic), decision procedures. The Association for Computing Machinery awarded Thierry Coquand, Gérard Huet, Christine Paulin-Mohring, Bruno Barras, Jean-Christophe Filliâtre, Hugo Herbelin, Chetan Murthy, Yves Bertot, and Pierre Castéran with the 2013 ACM Software System Award for Rocq (when it was still named Coq). Overview When viewed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
OCaml
OCaml ( , formerly Objective Caml) is a General-purpose programming language, general-purpose, High-level programming language, high-level, Comparison of multi-paradigm programming languages, multi-paradigm programming language which extends the Caml dialect of ML (programming language), ML with Object-oriented programming, object-oriented features. OCaml was created in 1996 by Xavier Leroy, Jérôme Vouillon, Damien Doligez, Didier Rémy, Ascánder Suárez, and others. The OCaml toolchain includes an interactive top-level Interpreter (computing), interpreter, a bytecode compiler, an optimizing native code compiler, a reversible debugger, and a package managerOPAM together with a composable build system for OCamlDune. OCaml was initially developed in the context of automated theorem proving, and is used in static program analysis, static analysis and formal methods software. Beyond these areas, it has found use in systems programming, web development, and specific financial utili ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Albatross (programming Language)
Albatrosses, of the biological family Diomedeidae, are large seabirds related to the procellariids, storm petrels, and diving petrels in the order Procellariiformes (the tubenoses). They range widely in the Southern Ocean and the North Pacific. They are absent from the North Atlantic, although fossil remains of short-tailed albatross show they lived there up to the Pleistocene, and occasional vagrants are found. Great albatrosses are among the largest of flying birds, with wingspans reaching up to and bodies over in length. The albatrosses are usually regarded as falling into four genera, but disagreement exists over the number of species. Albatrosses are highly efficient in the air, using dynamic soaring and slope soaring to cover great distances with little exertion. They feed on squid, fish, and krill by either scavenging, surface seizing, or diving. Albatrosses are colonial, nesting for the most part on remote oceanic islands, often with several species nesting ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Haskell (programming Language)
Haskell () is a General-purpose programming language, general-purpose, static typing, statically typed, purely functional programming, purely functional programming language with type inference and lazy evaluation. Designed for teaching, research, and industrial applications, Haskell pioneered several programming language #Features, features such as type classes, which enable type safety, type-safe operator overloading, and Monad (functional programming), monadic input/output (IO). It is named after logician Haskell Curry. Haskell's main implementation is the Glasgow Haskell Compiler (GHC). Haskell's Semantics (computer science), semantics are historically based on those of the Miranda (programming language), Miranda programming language, which served to focus the efforts of the initial Haskell working group. The last formal specification of the language was made in July 2010, while the development of GHC continues to expand Haskell via language extensions. Haskell is used in a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Gothenburg
The University of Gothenburg () is a List of universities in Sweden, university in Sweden's second largest city, Gothenburg. Founded in 1891, the university is the third-oldest of the current List of universities in Sweden#Public universities, Swedish universities and, with 53,624 students and 6,707 staff members, it is one of the largest universities in the Nordic countries. About With its eight faculties and 38 departments, the University of Gothenburg is one of the most wide-ranging and versatile universities in Sweden. Its eight faculties offer training in the Creative Arts, Social Sciences, Natural Sciences, Humanities, Education, Information Technology, Business, Economics and Law, and Health Sciences. The University of Gothenburg has the highest number of applicants per study place in many of its subjects and courses, making it one of the most popular universities in Sweden. History The University of Gothenburg was founded as ''Göteborgs högskola'' (Gothenburg Uni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chalmers University Of Technology
Chalmers University of Technology (, commonly referred to as Chalmers) is a private university, private research university located in Gothenburg, Sweden. Chalmers focuses on engineering and science, but more broadly it also conducts research and offers education in shipping, architecture and management. The university has approximately 3100 employees and 10,000 students. Chalmers coordinates the development of a Swedish quantum computer and the Graphene Flagship, a European Union research initiative to develop commercial technologies with graphene. The university is a co-founder of the CDIO Initiative, a member of the UNITECH International program, the IDEA League, the Nordic Five Tech, and the ENHANCE alliances as well as the EURECOM consortium and the CESAER network. History Chalmers was founded in 1829 following a donation by William Chalmers (merchant), William Chalmers, a director of the Swedish East India Company. He donated part of his fortune for the establishment o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
