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Lawrence C. Paulson
Lawrence Charles Paulson is an American computer scientist. He is a Professor of Computational Logic at the University of Cambridge Computer Laboratory and a Fellow of Clare College, Cambridge. Education Paulson graduated from the California Institute of Technology in 1977,Lawrence Paulson and obtained his PhD in Computer Science from Stanford University in 1981 for research on programming languages and compiler-compilers supervised by John L. Hennessy. Research Paulson came to the University of Cambridge in 1983 and became a Fellow of Clare College, Cambridge in 1987. He is best known for the cornerstone text on the programming language ML, ''ML for the Working Programmer''. His research is based around the interactive theorem prover Isabelle, which he introduced in 1986. He has worked on the verification of cryptographic protocols using inductive definitions, and he has also formalised the constructible universe of Kurt Gödel. Recently he has built a new theorem prover, Me ...
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Oxford University Press
Oxford University Press (OUP) is the publishing house of the University of Oxford. It is the largest university press in the world. Its first book was printed in Oxford in 1478, with the Press officially granted the legal right to print books by decree in 1586. It is the second-oldest university press after Cambridge University Press, which was founded in 1534. It is a department of the University of Oxford. It is governed by a group of 15 academics, the Delegates of the Press, appointed by the Vice Chancellor, vice-chancellor of the University of Oxford. The Delegates of the Press are led by the Secretary to the Delegates, who serves as OUP's chief executive and as its major representative on other university bodies. Oxford University Press has had a similar governance structure since the 17th century. The press is located on Walton Street, Oxford, Walton Street, Oxford, opposite Somerville College, Oxford, Somerville College, in the inner suburb of Jericho, Oxford, Jericho. ...
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University Of Cambridge Computer Laboratory
The Department of Computer Science and Technology, formerly the Computer Laboratory, is the computer science department of the University of Cambridge. it employed 56 faculty members, 45 support staff, 105 research staff, and about 205 research students. The current Head of Department is Professor Alastair Beresford. History The department was founded as the Mathematical Laboratory under the leadership of John Lennard-Jones on 14 May 1937, though it did not get properly established until after World War II. The new laboratory was housed in the North Wing of the former Anatomy School, on the New Museums Site. Upon its foundation, it was intended "to provide a computing service for general use, and to be a centre for the development of computational techniques in the University". The Cambridge Diploma in Computer Science was the world's first postgraduate taught course in computing, starting in 1953. In October 1946, work began under Maurice Wilkes on EDSAC (''Electronic Del ...
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Automated Theorem Proving
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of computer science. Logical foundations While the roots of formalized Logicism, logic go back to Aristotelian logic, Aristotle, the end of the 19th and early 20th centuries saw the development of modern logic and formalized mathematics. Gottlob Frege, Frege's ''Begriffsschrift'' (1879) introduced both a complete propositional logic, propositional calculus and what is essentially modern predicate logic. His ''The Foundations of Arithmetic, Foundations of Arithmetic'', published in 1884, expressed (parts of) mathematics in formal logic. This approach was continued by Bertrand Russell, Russell and Alfred North Whitehead, Whitehead in their influential ''Principia Mathematica'', first published 1910� ...
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Computer Science Tripos
The Computer Science Tripos (CST) is the undergraduate course in computer science offered by the University of Cambridge Computer Laboratory. It evolved out of the Diploma in Computer Science, the world's first taught course in computer science, which started in 1953. Successful candidates are awarded a Bachelor of Arts (BA) honours degree after three years or, a combined BA + Master of Engineering (MEng) honours degree after four years of study, though admission to the fourth year is usually contingent on attaining a first-class result in the third year. Notable alumni *Aubrey de Grey *Demis Hassabis *Simon Tatham References Tripos TRIPOS (''TRIvial Portable Operating System'') is a computer operating system. Development started in 1976 at the Computer Laboratory of Cambridge University and it was headed by Dr. Martin Richards. The first version appeared in January 1978 a ... Academic courses at the University of Cambridge Computer science education in the United King ...
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Lecture Notes In Computer Science
''Lecture Notes in Computer Science'' is a series of computer science books published by Springer Science+Business Media since 1973. Overview The series contains proceedings, post-proceedings, monographs, and Festschrifts. In addition, tutorials, state-of-the-art surveys, and "hot topics" are increasingly being included. The series is indexed by DBLP. See also *'' Monographiae Biologicae'', another monograph series published by Springer Science+Business Media *'' Lecture Notes in Physics'' *'' Lecture Notes in Mathematics'' *'' Electronic Workshops in Computing'', published by the British Computer Society image:Maurice Vincent Wilkes 1980 (3).jpg, Sir Maurice Wilkes served as the first President of BCS in 1957. The British Computer Society (BCS), branded BCS, The Chartered Institute for IT, since 2009, is a professional body and a learned ... References External links * Academic journals established in 1973 Computer science books Series of non-fiction books ...
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Kurt Gödel
Kurt Friedrich Gödel ( ; ; April 28, 1906 – January 14, 1978) was a logician, mathematician, and philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel profoundly influenced scientific and philosophical thinking in the 20th century (at a time when Bertrand Russell,For instance, in their "Principia Mathematica' (''Stanford Encyclopedia of Philosophy'' edition). Alfred North Whitehead, and David Hilbert were using logic and set theory to investigate the foundations of mathematics), building on earlier work by Frege, Richard Dedekind, and Georg Cantor. Gödel's discoveries in the foundations of mathematics led to the proof of his completeness theorem in 1929 as part of his dissertation to earn a doctorate at the University of Vienna, and the publication of Gödel's incompleteness theorems two years later, in 1931. The incompleteness theorems address limitations of formal axiomatic systems. In parti ...
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Constructible Universe
In mathematics, in set theory, the constructible universe (or Gödel's constructible universe), denoted by L, is a particular Class (set theory), class of Set (mathematics), sets that can be described entirely in terms of simpler sets. L is the union of the constructible hierarchy L_\alpha. It was introduced by Kurt Gödel in his 1938 paper "The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis". In this paper, he proved that the constructible universe is an inner model of ZF set theory (that is, of Zermelo–Fraenkel set theory with the axiom of choice excluded), and also that the axiom of choice and the Continuum hypothesis#The generalized continuum hypothesis, generalized continuum hypothesis are true in the constructible universe. This shows that both propositions are consistent with the basic axioms of set theory, if ZF itself is consistent. Since many other theorems only hold in systems in which one or both of the propositions is true, their consis ...
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Inductive Definition
In mathematics and computer science, a recursive definition, or inductive definition, is used to define the elements in a set in terms of other elements in the set ( Aczel 1977:740ff). Some examples of recursively definable objects include factorials, natural numbers, Fibonacci numbers, and the Cantor ternary set. A recursive definition of a function defines values of the function for some inputs in terms of the values of the same function for other (usually smaller) inputs. For example, the factorial function is defined by the rules :\begin & 0! = 1. \\ & (n+1)! = (n+1) \cdot n!. \end This definition is valid for each natural number , because the recursion eventually reaches the base case of 0. The definition may also be thought of as giving a procedure for computing the value of the function , starting from and proceeding onwards with etc. The recursion theorem states that such a definition indeed defines a function that is unique. The proof uses mathematic ...
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Cryptography
Cryptography, or cryptology (from "hidden, secret"; and ''graphein'', "to write", or ''-logy, -logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of Adversary (cryptography), adversarial behavior. More generally, cryptography is about constructing and analyzing Communication protocol, protocols that prevent third parties or the public from reading private messages. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, information security, electrical engineering, digital signal processing, physics, and others. Core concepts related to information security (confidentiality, data confidentiality, data integrity, authentication, and non-repudiation) are also central to cryptography. Practical applications of cryptography include electronic commerce, Smart card#EMV, chip-based payment cards, digital currencies, password, computer passwords, and military communications. ...
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Journal Of Logical And Algebraic Methods In Programming
The ''Journal of Logical and Algebraic Methods in Programming'' is a peer-reviewed scientific journal established in 1984. It was originally titled ''The Journal of Logic Programming''; in 2001 it was renamed ''The Journal of Logic and Algebraic Programming'', and in 2014 it obtained its current title. The founding editor-in-chief was J. Alan Robinson. From 1984 to 2000 it was the official journal of the Association of Logic Programming. In 2000, the association and the then editorial board started a new journal under the name ''Theory and Practice of Logic Programming'', published by Cambridge University Press. Elsevier continued the journal with a new editorial board under the title ''Journal of Logic and Algebraic Programming''. According to the ''Journal Citation Reports'', the journal has a 2013 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered ...
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Isabelle Theorem Prover
The Isabelle automated theorem prover is a higher-order logic (HOL) theorem prover, written in Standard ML and Scala. As a Logic for Computable Functions (LCF) style theorem prover, it is based on a small logical core (kernel) to increase the trustworthiness of proofs without requiring, yet supporting, explicit proof objects. Isabelle is available inside a flexible system framework allowing for logically safe extensions, which comprise both theories and implementations for code-generating, documenting, and specific support for a variety of formal methods. It can be seen as an integrated development environment (IDE) for formal methods. In recent years, a substantial number of theories and system extensions have been collected in the Isabelle ''Archive of Formal Proofs'' (Isabelle AFP). Isabelle was named by Lawrence Paulson after Gérard Huet's daughter. The Isabelle theorem prover is free software, released under the revised BSD license. Features Isabelle is generic: it prov ...
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Compiler-compiler
In computer science, a compiler-compiler or compiler generator is a programming tool that creates a Parsing#Computer_languages, parser, interpreter (computer software), interpreter, or compiler from some form of formal description of a programming language and machine. The most common type of compiler-compiler is called a parser generator. It handles only syntactic analysis. A formal description of a language is usually a formal grammar, grammar used as an input to a parser generator. It often resembles Backus–Naur form (BNF), extended Backus–Naur form (EBNF), or has its own syntax. Grammar files describe a Syntax (programming languages), syntax of a generated compiler's target programming language and actions that should be taken against its specific constructs. Source code for a parser of the programming language is returned as the parser generator's output. This source code can then be compiled into a parser, which may be either standalone or embedded. The compiled pars ...
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