Results 41 to 50 of about 1,309,863 (280)
Superposition for Full Higher-order Logic [PDF]
, 2021 AbstractWe recently designed two calculi as stepping stones towards superposition for full higher-order logic: Boolean-free$$\lambda $$λ-superposition and superposition for first-order logic with interpreted Booleans. Stepping on these stones, we finally reach a sound and refutationally complete calculus for higher-order logic with polymorphism ...
Alexander Bentkamp +3 more
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IEEE Access, 2018 In recent publications, we presented a novel formal symbolic process virtual machine (FSPVM) framework that combined higher-order logic theorem proving and symbolic execution for verifying the reliability and security of smart contracts developed in the ...
Zheng Yang, Hang Lei
doaj +1 more source
Synthesis of a comprehensive population code for contextual features in the awake sensory cortex
eLife, 2021 How cortical circuits build representations of complex objects is poorly understood. Individual neurons must integrate broadly over space, yet simultaneously obtain sharp tuning to specific global stimulus features.
Evan H Lyall +5 more
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Formath: Higher-order logic revised [PDF]
, 2004 Hoogewijs, Albert, Audenaert, P.
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Set Theory or Higher Order Logic to Represent Auction Concepts in Isabelle? [PDF]
, 2014 When faced with the question of how to represent properties in a formal proof system any user has to make design decisions. We have proved three of the theorems from Maskin's 2004 survey article on Auction Theory using the Isabelle/HOL system, and we ...
C. Lange +6 more
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Formalization of Linear Space Theory in the Higher-Order Logic Proving System
Journal of Applied Mathematics, 2013 Theorem proving is an important approach in formal verification. Higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and stronger semantics. Higher-order logic is more expressive.
Jie Zhang, Danwen Mao, Yong Guan
doaj +1 more source
DNA for nano-bio scale computation of chemical formalisms using Higher Order Logic (HOL) and analysis using an interdisciplinary approach [PDF]
Materials Research, 2014 Bio-molecular computing, 'computations performed by bio-molecules', is already challenging traditional approaches to computation both theoretically and technologically.
Nirmal Kumar +2 more
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Higher-Order Illative Combinatory Logic [PDF]
The Journal of Symbolic Logic, 2013 AbstractWe show a model construction for a system of higher-order illative combinatory logic thus establishing its strong consistency. We also use a variant of this construction to provide a complete embedding of first-order intuitionistic predicate logic with second-order propositional quantifiers into the system of Barendregt, Bunder and Dekkers ...
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Formalization of Complex Vectors in Higher-Order Logic
, 2014 Complex vector analysis is widely used to analyze continuous systems in many disciplines, including physics and engineering. In this paper, we present a higher-order-logic formalization of the complex vector space to facilitate conducting this analysis ...
H. Herencia-Zapana +4 more
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Metalogic and the Overgeneration Argument [PDF]
, 2019 A prominent objection against the logicality of second-order logic is the so-called Overgeneration Argument. However, it is far from clear how this argument is to be understood.
Florio, Salvatore, Incurvati, Luca
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