PDF Ebook about: Undecidability
Undecidability
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12 documents available in our comprehensive collection of Undecidability resources. Find practical guides, tutorials, and documentation to enhance your knowledge.
Spectral Gap Undecidability (xiiiMuVa_PerezGcia.pdf)
18.29 MBEN 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
Type-1 and Type-0 Languages: Closure & Decidability (theory-c08-handout.pdf)
189 KBEN 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.
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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Mathematical Properties of Linguistic Theories: Decidability, Capacity, and Recognition Complexity (P83-1015.pdf)
823 KBEN 8 pages
Despite significant work on formalisms, less emphasis has been placed on interpreting these mathematical properties in the context of linguistic theory.
Context-Free Languages (theory-c06-handout.pdf)
232 KBEN 29 pages
C6 covers context-free languages, including the pumping lemma, closure properties, decidability, and summary, with topics such as automata, formal languages,...
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.
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.
l6 (l6.pdf)
318 KBEN 41 pages
Lecture 6 covers Dataflow Analysis V, focusing on MOP (Meet Over all Paths) vs.
Post Correspondence Problem (theory-d05-handout4.pdf)
219 KBEN 8 pages
The Post Correspondence Problem (PCP) is a computational problem that involves finding a sequence of pairs of words that match.
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.
Turing Machines: A Formal Model of Computation and Hilbert's 10th Problem (theory-c01-handout4.pdf)
257 KBEN 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.
NP-Completeness: Proving and Understanding 3SAT via Cook-Levin Theorem (theory-d03.pdf)
667 KBEN 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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