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Formalized mathematics currently does not look much like informal mathematics. Also, formalizing mathematics currently seems far too much work to be worth the time of the working mathematician. To address both of these problems we introduce the notion of a formal proof sketch.
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Formal Proofs for the Security of Signcryption [PDF]
Signcryption is an asymmetric cryptographic method that provides simultaneously both message confidentiality and unforgeability at a low computational and communication overhead. In this paper we propose realistic security models for signcryption, which give the attacker power to choose both messages/signcryptexts as well as recipient/sender public ...
Joonsang Baek +2 more
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Key Management in Wireless Sensor Networks
Wireless sensor networks are a challenging field of research when it comes to security issues. Using low cost sensor nodes with limited resources makes it difficult for cryptographic algorithms to function without impacting energy consumption and latency.
Ismail Mansour +2 more
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Formal verification of a proof procedure for the description logic ALC [PDF]
Description Logics (DLs) are a family of languages used for the representation and reasoning on the knowledge of an application domain, in a structured and formal manner. In order to achieve this objective, several provers, such as RACER and FaCT++, have
Martin Strecker +2 more
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Autarkic Computations in Formal Proofs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barendregt, H.P., Barendsen, E.
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Formal Proofs for Nonlinear Optimization
We present a formally verified global optimization framework. Given a semialgebraic or transcendental function $f$ and a compact semialgebraic domain $K$, we use the nonlinear maxplus template approximation algorithm to provide a certified lower bound of $f$ over $K$.
Magron, Victor +3 more
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Exact computation for existence of a knot counterexample
Previously, numerical evidence was presented of a self-intersecting Bezier curve having the unknot for its control polygon. This numerical demonstration resolved open questions in scientic visualization, but did not provide a formal proof of self ...
K. Marinelli, T. J. Peters
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The Sequent Calculus Trainer with Automated Reasoning - Helping Students to Find Proofs [PDF]
The sequent calculus is a formalism for proving validity of statements formulated in First-Order Logic. It is routinely used in computer science modules on mathematical logic.
Arno Ehle +2 more
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Proof Patterns for Formal Methods [PDF]
Design patterns represent a highly successful technique in software engineering, giving a reusable 'best practice' solution to commonly occurring problems in software design. Taking inspiration from this approach, this paper introduces proof patterns, which aim to provide a common vocabulary for solving formal methods proof obligations by capturing and
Leo Freitas, Iain Whiteside
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