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Undecidability Example

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Preview of Type-1 and Type-0 Languages: Closure & Decidability
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Type-1 and Type-0 Languages: Closure & Decidability (theory-c08-handout.pdf)

189 KBGabriele RögerEN 19 pages
This document explores the contrast between Turing machines and grammars, focusing on closure properties and decidability in Type-1 and Type-0 languages within computer science theory.
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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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Preview of NP-Completeness: Proving and Understanding 3SAT via Cook-Levin Theorem
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NP-Completeness: Proving and Understanding 3SAT via Cook-Levin Theorem (theory-d03.pdf)

667 KBGabriele RögerEN 88 pages
The Theory of Computer Science explores NP-completeness through the lens of propositional logic and the Cook-Levin Theorem, demonstrating that 3SAT, a core problem in this domain, is NP-complete. This concept involves polynomial reductions between decision problems, where...
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