Concept

Gödel's completeness theorem

Related publications (33)

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Orthologic with Axioms

Viktor Kuncak, Simon Guilloud

We study the proof theory and algorithms for orthologic, a logical system based on ortholattices, which have shown practical relevance in simplification and normalization of verification conditions. Ortholattices weaken Boolean algebras while having po ...

2024

Cakoni and Nguyen recently proposed very general conditions on the coefficients of Maxwell equations for which they established the discreten ess of the set of eigenvalues of the transmission problem and studied their locations. In this paper, we establish ...

2021

In this thesis, we present Stainless, a verification system for an expressive subset of the Scala language. Our system is based on a dependently-typed language and an algorithmic type checking procedure which ensures total correctness. We rely on SMT solve ...

EPFL2019

The operators of power distribution systems strive to lower their operational costs and improve the quality of the power service provided to their customers. Furthermore, they are faced with the challenge of accommodating large numbers of Distributed Energ ...

EPFL2019

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Implicit parameters are used pervasively in Scala and are also present in a number of other programming and theorem proving languages. This paper describes a generalization of implicit parameters as they are currently found in Scala to implicit function ty ...

2017

Multi-level Logic Benchmarks: An Exactness Study

Giovanni De Micheli, Mathias Soeken, Pierre-Emmanuel Julien Marc Gaillardon, Luca Gaetano Amarù, Eleonora Testa, Winston Jason Haaswijk

In this paper, we study exact multi-level logic benchmarks. We refer to an exact logic benchmark, or exact benchmark in short, as the optimal implementation of a given Boolean function, in terms of minimum number of logic levels and/or nodes. Exact benchma ...

Ieee2017

Procedures for first-order logic with equality are used in many modern theorem provers and solvers, yet procedure termination in case of interesting sub-classes of satisfiable formulas remains a challenging problem. We present an instantiation-based semi-d ...

2016

Public-key distance bounding schemes are needed to defeat relay attacks in payment systems. So far, only five such schemes exist, but fail to fully protect against malicious provers. In this paper, we solve this problem. We provide a full formalism to defi ...

2015

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Silicon nanowire FET (SiNWFET) with dynamic polarity control has been experimentally demonstrated and has shown large potential in circuit applications. To fully explore its circuit-level opportunities, a physics-based compact model of the polarity-control ...

2015

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We present the Leon verification system for a subset of the Scala programming language. Along with several functional features of Scala, Leon supports imperative constructs such as mutations and loops, using a translation into recursive functional form. Bo ...

2013