Results 11 to 20 of about 342,984 (310)
On the linearized system of elasticity in the half-space
AIMS Mathematics, 2022 The purpose of this paper is twofold. The first goal is to provide a simple and constructive proof of Korn inequalities in half-space with weighted norms. The proof leads to explicit values of the constants.
Nabil Kerdid
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Human and constructive proof of combinatorial identities: an example from Romik [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 It has become customary to prove binomial identities by means of the method for automated proofs as developed by Petkovšek, Wilf and Zeilberger. In this paper, we wish to emphasize the role of "human'' and constructive proofs in contrast with the ...
D. Merlini, R. Sprugnoli, M. C. Verri
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Extracting Programs from Constructive HOL Proofs via IZF Set-Theoretic Semantics [PDF]
Logical Methods in Computer Science, 2008 Church's Higher Order Logic is a basis for influential proof assistants -- HOL and PVS. Church's logic has a simple set-theoretic semantics, making it trustworthy and extensible.
Robert Constable, Wojciech Moczydlowski
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Proofs as Spatio-Temporal Processes
Philosophia Scientiæ, 2014 The concept of proof can be studied from many different perspectives. Many types of proofs have been developed throughout history such as apodictic, dialectical, formal, constructive and non-constructive proofs, proofs by visualisation, assumption-based ...
Petros Stefaneas, Ioannis M. Vandoulakis
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Formalizing Constructive Quantifier Elimination in Agda [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 In this paper a constructive formalization of quantifier elimination is presented, based on a classical formalization by Tobias Nipkow. The formalization is implemented and verified in the programming language/proof assistant Agda.
Jeremy Pope
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Al-Lisaniyyat, 2022 The aim of our paper is to present the Constructive Type Theory (CTT) and some related concepts for the Swedish logician Per Martin Löf, who constructed a formal logic system in order to establish a philosophical foundation of constructive mathematics ...
Terkia Mechouet, Farid Zidani
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Infinite Towers of Galois Defect Extensions of Kaplansky Fields
Annales Mathematicae Silesianae, 2018 We give conditions for Kaplansky fields to admit infinite towers of Galois defect extensions of prime degree. As proofs of the presented facts are constructive, this provides examples of constructions of infinite towers of Galois defect extensions of ...
Blaszczok Anna
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Strong Normalization for HA + EM1 by Non-Deterministic Choice [PDF]
Electronic Proceedings in Theoretical Computer Science, 2013 We study the strong normalization of a new Curry-Howard correspondence for HA + EM1, constructive Heyting Arithmetic with the excluded middle on Sigma01-formulas.
Federico Aschieri
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Hölder, Mach, and the Law of the Lever: A Case of Well-founded Non-controversy
Philosophia Scientiæ, 2013 Otto Hölder’s reply to Mach’s renowned critique of the Archimedean proof of the Law of the Lever is analyzed and contextutalized as part of Hölder’s epistemological theory.
Oliver Schlaudt
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Hereditary Substitution for the λΔ-Calculus [PDF]
Electronic Proceedings in Theoretical Computer Science, 2013 Hereditary substitution is a form of type-bounded iterated substitution, first made explicit by Watkins et al. and Adams in order to show normalization of proof terms for various constructive logics.
Harley Eades, Aaron Stump
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