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Interactive Theorem Proving (conference)
Interactive Theorem Proving (ITP) is an annual international academic conference on the topic of automated theorem proving, proof assistants and related topics, ranging from theoretical foundations to implementation aspects and applications in program verification, computer security, security, and Implementation of mathematics in set theory, formalization of mathematics. ITP brings together the communities using many systems based on higher-order logic such as ACL2, Coq, Mizar system, Mizar, HOL (proof assistant), HOL, Isabelle theorem prover, Isabelle, Lean (proof assistant), Lean, NuPRL, Prototype Verification System, PVS, and Twelf. Individual workshops or meetings devoted to individual systems are usually held concurrently with the conference. Together with Conference on Automated Deduction, CADE and TABLEAUX, ITP is usually one of the three main conferences of the International Joint Conference on Automated Reasoning (IJCAR) whenever it convenes, History The inaugural meeting ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Conference
An academic conference or scientific conference (also congress, symposium, workshop, or meeting) is an event for researchers (not necessarily academics) to present and discuss their scholarly work. Together with academic or scientific journals and Preprint archives such as arXiv, conferences provide an important channel for exchange of information between researchers. Further benefits of participating in academic conferences include learning effects in terms of presentation skills and “academic habitus”, receiving feedback from peers for one’s own research, the possibility to engage in informal communication with peers about work opportunities and collaborations, and getting an overview of current research in one or more disciplines. Overview Conferences usually encompass various presentations. They tend to be short and concise, with a time span of about 10 to 30 minutes; presentations are usually followed by a . The work may be bundled in written form as academic pape ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prototype Verification System
The Prototype Verification System (PVS) is a specification language integrated with support tools and an automated theorem prover, developed at the Computer Science Laboratory of SRI International in Menlo Park, California. PVS is based on a kernel consisting of an extension of Church's theory of types with dependent types, and is fundamentally a classical typed higher-order logic. The base types include uninterpreted types that may be introduced by the user, and built-in types such as the booleans, integers, reals, and the ordinals. Type-constructors include functions, sets, tuples, records, enumerations, and abstract data types. Predicate subtypes and dependent types can be used to introduce constraints; these constrained types may incur proof obligations (called type-correctness conditions or TCCs) during typechecking. PVS specifications are organized into parameterized theories. The system is implemented in Common Lisp, and is released under the GNU General Public License (G ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 impetus for the development of computer science. Logical foundations While the roots of formalised logic go back to Aristotle, the end of the 19th and early 20th centuries saw the development of modern logic and formalised mathematics. Frege's ''Begriffsschrift'' (1879) introduced both a complete propositional calculus and what is essentially modern predicate logic. His ''Foundations of Arithmetic'', published 1884, expressed (parts of) mathematics in formal logic. This approach was continued by Russell and Whitehead in their influential ''Principia Mathematica'', first published 1910–1913, and with a revised second edition in 1927. Russell and Whitehead thought they could derive all mathematical truth using axioms and inference ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ''Electronic Workshops in Computing'' (eWiC) is a publication series by the British Computer Society. The series provides free online access for conferences and workshops in the area of computing. For example, the EVA London Conference proceeding ...'', published by the British Computer Society References External links * Publications established in 1973 Computer science books Series of non-fiction books Springer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Springer Science+Business Media
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology ". Springer Science+Business Media. In 1964, Springer expanded its business internationally, o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
HOL Theorem Prover
HOL (Higher Order Logic) denotes a family of interactive theorem proving systems using similar (higher-order) logics and implementation strategies. Systems in this family follow the LCF approach as they are implemented as a library which defines an abstract data type of proven theorems such that new objects of this type can only be created using the functions in the library which correspond to inference rules in higher-order logic. As long as these functions are correctly implemented, all theorems proven in the system must be valid. As such, a large system can be built on top of a small trusted kernel. Systems in the HOL family use ML or its successors. ML was originally developed along with LCF as a meta-language for theorem proving systems; in fact, the name stands for "Meta-Language". Underlying logic HOL systems use variants of classical higher-order logic, which has simple axiomatic foundations with few axioms and well-understood semantics. The logic used in HOL prov ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Joint Conference On Automated Reasoning
The International Joint Conference on Automated Reasoning (IJCAR) is a series of conferences on the topics of automated reasoning, automated deduction, and related fields. It is organized semi-regularly as a merger of other meetings. IJCAR replaces those independent conferences in the years it takes place. The conference is organized by CADE Inc., and CADE has always been one of the conferences partaking in IJCAR. * The first IJCAR was held in Siena, Italy in 2001 as a merger of CADE, FTP, and TABLEAUX. * The second IJCAR was held in Cork, Ireland in 2004 as a merger of CADE, FTP, TABLEAUX, FroCoS and CALCULEMUS. * The third IJCAR was held as an independent subconference of the fourth Federated Logic Conference in Seattle, United States, and merged CADE, FTP, TABLEAUX, FroCoS and TPHOLs. * The fourth IJCAR was held in Sydney, Australia in 2008, and merged CADE, FroCoS, FTP and TABLEAUX. * The fifth IJCAR was held in 2010 as an independent subconference of the fifth Federated L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
TABLEAUX
The International Conference on Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX) is an annual international academic conference that deals with all aspects of automated reasoning with analytic tableaux. Periodically, it joins with CADE and TPHOLs into the International Joint Conference on Automated Reasoning (IJCAR). The first table convened in 1992. Since 1995, the proceedings of this conference have been published by Springer's LNAI series. In August 2006 TABLEAUX was part of the Federated Logic Conference in Seattle, USA. The following TABLEAUX were held in 2007 in Aix en Provence, France France (), officially the French Republic ( ), is a country primarily located in Western Europe. It also comprises of Overseas France, overseas regions and territories in the Americas and the Atlantic Ocean, Atlantic, Pacific Ocean, Pac ..., as part of IJCAR 2008, in Sydney, Australia, as TABLEAUX 2009, in Oslo, Norway, as part of IJCAR 2010, Edinburgh, U ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conference On Automated Deduction
The Conference on Automated Deduction (CADE) is the premier academic conference on automated deduction and related fields. The first CADE was organized in 1974 at the Argonne National Laboratory near Chicago. Most CADE meetings have been held in Europe and the United States. However, conferences have been held all over the world. Since 1996, CADE has been held yearly. In 2001, CADE was, for the first time, merged into the International Joint Conference on Automated Reasoning The International Joint Conference on Automated Reasoning (IJCAR) is a series of conferences on the topics of automated reasoning, automated deduction, and related fields. It is organized semi-regularly as a merger of other meetings. IJCAR replace ... (IJCAR). This has been repeated biannually since 2004. In 1996, CADE Inc. was formed as a non-profit sub-corporation of the Association for Automated Reasoning to organize the formerly individually organized conferences. External links * , CADE * , AAR Refe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Twelf
Twelf is an implementation of the logical framework LF developed by Frank Pfenning and Carsten Schürmann at Carnegie Mellon University. It is used for logic programming and for the formalization of programming language theory. Introduction At its simplest, a Twelf program (called a "signature") is a collection of declarations of type families (relations) and constants that inhabit those type families. For example, the following is the standard definition of the natural numbers, with standing for zero and the successor operator. nat : type. z : nat. s : nat -> nat. Here is a type, and and are constant terms. As a dependently typed system, types can be indexed by terms, which allows the definition of more interesting type families. Here is a definition of addition: plus : nat -> nat -> nat -> type. plus_zero : plus M z M. plus_succ : plus M (s N) (s P) <- plus M N P. The type family is read as a relation between three na ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 impetus for the development of computer science. Logical foundations While the roots of formalised logic go back to Aristotle, the end of the 19th and early 20th centuries saw the development of modern logic and formalised mathematics. Frege's ''Begriffsschrift'' (1879) introduced both a complete propositional calculus and what is essentially modern predicate logic. His ''Foundations of Arithmetic'', published 1884, expressed (parts of) mathematics in formal logic. This approach was continued by Russell and Whitehead in their influential ''Principia Mathematica'', first published 1910–1913, and with a revised second edition in 1927. Russell and Whitehead thought they could derive all mathematical truth using axioms and inference ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
