منابع مشابه
Automated methods for formal proofs in simple arithmetics and algebra
In an LCF-like theorem prover, any proof must be produced from a small set of inference rules. The development of automated proof methods in such systems is extremely important. In this thesis we study the following question How should we integrate a proof procedure in an LCF-like theorem prover, both in general and in the special case of arithmetics. We investigate three integration paradigms ...
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The goal of the lecture is to present some aspects of formal security proofs of protocols. This is a wide area, and there is another lecture (by B. Banchet) on related topics. The idea is therefore to explain in depth one particular technique, that relies on deducibility constraints. We rely mainly on two introductory documents [8,14]. Actually, the current notes are the beginning of [8]. Here ...
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A proof assistant is interactive computer software that humans use to prepare scripts of mathematical proofs. These proof scripts can be parsed and verified directly from the fundamental rules of logic and the foundational axioms of mathematics. The technology underlying proof assistants and formal proofs has been under development for decades and grew out of efforts in the early twentieth cent...
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Interpretation (VMCAI), volume 3385, pages 21–47, Paris,France, January 2005. Springer Verlag.[Ste74] Gilbert Stengle. A nullstellensatz and a positivstellensatz in semial-gebraic geometry. Mathematische Annalen, 207(2):87–97, 1974.[WKKM06] Hayato Waki, Sunyoung Kim, Masakazu Kojima, and Masakazu Mu-ramatsu. Sums of Squares and Semidefinite Programming Relax-ations for P...
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The aim of our work is to be able to do fully formal, machine verified proofs over Generic Haskellstyle polytypic programs. In order to achieve this goal, we embed polytypic programming in the proof assistant Coq and provide an infrastructure for polytypic proofs. Polytypic functions are reified within Coq as a datatype and they can then be specialized by applying a dependently typed term speci...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1971
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093894371