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Indecidabilite

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Preview of Spectral Gap Undecidability
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Spectral Gap Undecidability (xiiiMuVa_PerezGcia.pdf)

18.29 MBDavid Pérez GarcíaEN 39 pages
Undecidability of the Spectral Gap Problem, joint work by David Pérez-García, Toby Cubitt, and Michael Wolf, explores phases and phase transitions, including...
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Preview of The Halting Problem's Decidability on a Set of Asymptotic Probability One
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The Halting Problem's Decidability on a Set of Asymptotic Probability One (1168352664.pdf)

167 KBEN 10 pages
In this 2006 issue of *Notre Dame Journal of Formal Logic*, Hamkins and Miasnikov prove that the halting problem for Turing machines is decidable with high probability, challenging traditional views of undecidability and highlighting the role of measure in computational models....
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Preview of l6
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l6 (l6.pdf)

318 KBThomas NollEN 41 pages
Lecture 6 covers Dataflow Analysis V, focusing on MOP (Meet Over all Paths) vs.
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Preview of Post Correspondence Problem
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Post Correspondence Problem (theory-d05-handout4.pdf)

219 KBGabriele RögerEN 8 pages
The Post Correspondence Problem (PCP) is a computational problem that involves finding a sequence of pairs of words that match.
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Preview of Simulating Noisy Systems with Unified Cellular Automata Formalism
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Simulating Noisy Systems with Unified Cellular Automata Formalism (2012-JAC-ArrighiSchabanelTheyssier.pdf)

254 KBEN 17 pages
It presents tools to analyze and determine such simulations, but shows the relation is undecidable in 2D.
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Preview of Turing Machines: A Formal Model of Computation and Hilbert's 10th Problem
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Turing Machines: A Formal Model of Computation and Hilbert's 10th Problem (theory-c01-handout4.pdf)

257 KBGabriele RögerEN 8 pages
The course "Theory of Computer Science" explores fundamental concepts, starting with Turing Machines as a formal model of computation, addressing key questions like what computations are possible and efficient, and delving into various models of computability.
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Preview of Integrating Ontologies and Rules: An Overview with Focus on SWRL
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Integrating Ontologies and Rules: An Overview with Focus on SWRL (OntologyRules-BookChapter2009.pdf)

252 KBEN 21 pages
This paper explores the integration of Web Ontology Language OWL (a W3C-recommended Semantic Web language based on Description Logics) with rule-based systems, considering their respective strengths in knowledge representation and industrial applications.
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Preview of Defeasible Mappings
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Defeasible Mappings (2015-iswc-defmap.pdf)

344 KBEN 16 pages
Defeasible mappings for EL-based ontologies handle exceptions automatically, avoiding logical inconsistencies. This approach allows one-way links from multiple ontologies to an overarching ontology. Reasoning under this setting is decidable, even with unknowns.
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