NDLI: Extending Classical Logic for Reasoning About Quantum Systems

Content Provider	Semantic Scholar
Author	Chadha, Rohit Mateus, Paulo Sernadas, Amílcar Sernadas, Cristina
Copyright Year	2009
Abstract	A logic extending classical reasoning and supporting quantum reasoning is presented. The quantum logic is obtained by applying the exogenous semantics approach to propositional logic. The design is guided by the postulates of quantum mechanics and inspired by applications in quantum computation and information. The models of the quantum logic are superpositions of classical valuations. In order to achieve a recursive axiomatization, the superpositions are taken in inner product spaces over algebraic closures of arbitrary real closed fields.
Starting Page	325
Ending Page	371
Page Count	47
File Format	PDF HTM / HTML
DOI	10.1016/B978-0-444-52869-8.50011-6
Alternate Webpage(s)	http://sqig.math.ist.utl.pt/pub/SernadasA/13-S-eqpl-LC-foils.pdf
Alternate Webpage(s)	http://sqig.math.ist.utl.pt/pub/SernadasC/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://www.cs.math.ist.utl.pt/ftp/pub/SernadasC/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://www.cs.math.ist.utl.pt/ftp/pub/SernadasA/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://wslc.math.ist.utl.pt/ftp/pub/SernadasC/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	https://sqig.math.tecnico.ulisboa.pt/pub/SernadasA/13-S-eqpl-LC-foils.pdf
Alternate Webpage(s)	http://wslc.math.ist.utl.pt/ftp/pub/MateusP/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://sqig.math.ist.utl.pt/pub/MateusP/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	https://sqig.math.tecnico.ulisboa.pt/pub/MateusP/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://sqig.math.ist.utl.pt/pub/SernadasA/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://sqig.math.ist.utl.pt/pub/ChadhaR/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	https://www.math.tecnico.ulisboa.pt/~rchadha/publications/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://www.cs.math.ist.utl.pt/ftp/pub/ChadhaR/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://www.cs.math.ist.utl.pt/ftp/pub/MateusP/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://wslc.math.ist.utl.pt/ftp/pub/SernadasA/05-CMSS-quantlog07.pdf
Alternate Webpage(s)	http://wslc.math.ist.utl.pt/ftp/pub/ChadhaR/05-CMSS-quantlog07.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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