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Mining the archive of formal proofs

by Jasmin Christian Blanchette , Maximilian Haslbeck , Daniel Matichuk , Tobias Nipkow - Intelligent Computer Mathematics - International Conference, CICM 2015
"... Abstract. The Archive of Formal Proofs is a vast collection of computer-checked proofs developed using the proof assistant Isabelle. We perform an in-depth analysis of the archive, looking at various properties of the proof developments, including size, dependencies, and proof style. This gives som ..."
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Abstract. The Archive of Formal Proofs is a vast collection of computer-checked proofs developed using the proof assistant Isabelle. We perform an in-depth analysis of the archive, looking at various properties of the proof developments, including size, dependencies, and proof style. This gives

The ipurge unwinding theorem for csp noninterference security. Archive of Formal Proofs

by Pasquale Noce , 2015
"... pasquale dot noce dot lavoro at gmail dot com pasquale dot noce at arjowiggins-it dot com ..."
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pasquale dot noce dot lavoro at gmail dot com pasquale dot noce at arjowiggins-it dot com

Notre Dame Journal of Formal Logic Proof Mining in Topological Dynamics

by unknown authors
"... Abstract A famous theorem by van der Waerden states the following: Given any finite colouring of the integers, one colour contains arbitrarily long arithmetic progressions. Equivalently, for every q, k there is an N = N(q, k) such that for every q-colouring of an interval of length N one colour cont ..."
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) Furstenberg and Weiss ’ proof based on monotone functional interpretation, both yielding bounds and providing a general illustration of proof mining in topological dynamics. The bounds do not improve previous results by Girard, but only – as is also revealed by the analysis – because the combinatorial proof

Applied Foundations: Proof Mining in Mathematics

by Ulrich Kohlenbach
"... A central theme in the foundations of mathematics, dating back to D. Hilbert, can be paraphrased by the following question ‘How is it that abstract methods (‘ideal elements’) can be used to prove ‘real ’ statements e.g. about the natural numbers and is this use necessary in principle?’ Hilbert’s aim ..."
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form in that one can design formal systems A which are sufficient to formalize substantial parts of mathematics and yet can be reduced proof-theoretically to primitive recursive arithmetic PRA, a formal system usually associated with ‘finitism’. These systems

Formal Verification of Consensus Algorithms in a Proof Assistant

by Henri Debrat, Bernadette Charron-bost, Stephan Merz, Henri Debrat, Bernadette Charron-bost, Stephan Merz, Formal Verification Consensus, Henri Debrat, Bernadette Charron-bost, Stephan Merz - in "2010 Grande Region Security and Reliability Day , 2010
"... HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
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HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte

ProofFlow: Flow Diagrams for Proofs

by Steven A. Kieffer
"... Abstract. We present a light formalism for proofs that encodes their inferential structure, along with a system that transforms these represen-tations into flow-chart diagrams. Such diagrams should improve the com-prehensibility of proofs. We discuss language syntax, diagram semantics, and our goal ..."
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Abstract. We present a light formalism for proofs that encodes their inferential structure, along with a system that transforms these represen-tations into flow-chart diagrams. Such diagrams should improve the com-prehensibility of proofs. We discuss language syntax, diagram semantics, and our goal

Privacy in Data Mining Using Formal Methods

by Stan Matwin, Amy Felty, István Hernádvölgyi, Venanzio Capretta
"... Abstract. There is growing public concern about personal data collected by both private and public sectors. People have very little control over what kinds of data are stored and how such data is used. Moreover, the ability to infer new knowledge from existing data is increasing rapidly with advance ..."
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with advances in database and data mining technologies. We describe a solution which allows people to take control by specifying constraints on the ways in which their data can be used. User constraints are represented in formal logic, and organizations that want to use this data provide formal proofs

Foundational Proof Certificates Making proof universal and permanent

by Dale Miller
"... Consider a world where exporting proof evidence into a declarative, universal, and permanent format is taken as “feature zero ” for computational logic systems. In such a world, provers will be able to communicate and share theorems and proofs; libraries can archive and organize proofs; and marketpl ..."
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Consider a world where exporting proof evidence into a declarative, universal, and permanent format is taken as “feature zero ” for computational logic systems. In such a world, provers will be able to communicate and share theorems and proofs; libraries can archive and organize proofs

Adverse Drug Reaction Mining in Pharmacovigilance Data Using Formal Concept Analysis

by Jean Villerd, Yannick Toussaint, Hal Id Inria, Jean Villerd, Yannick Toussaint - in "Machine Learning and Knowledge Discovery in Databases, European Conference, ECML PKDD 2010
"... HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
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HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte

ASPECTS OF PROOF IN MATHEMATICS RESEARCH

by Juan Pablo Mejía-ramos
"... Without having a clear definition of what proof is, mathematicians distinguish proofs from other types of argument. This has become increasingly difficult in the last thirty years, as mathematicians have been able to use ever more powerful computers to assist them in their research. An analysis of t ..."
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of two types of proof (mathematical proof and formal proof) and two types of argument (mechanically-checked formal proof and computational experiment) reveals some aspects of proof in mathematics research. The emerging framework builds on the distinction between public and private aspects of proof
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