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標(biāo)題: Titlebook: Elements of Finite Model Theory; Leonid Libkin Textbook 2004 Springer-Verlag Berlin Heidelberg 2004 Automat.Variable.automata.complexity.c [打印本頁(yè)]

作者: 解毒藥    時(shí)間: 2025-3-21 18:51
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作者: 杠桿    時(shí)間: 2025-3-21 21:07
,Ehrenfeucht-Fra?ssé Games,ht-Fra?ssé games for first-order logic. We prove the EhrenfeuchtFra?ssé theorem, characterizing the expressive power of FO via games, and introduce the notion of types, which will be central throughout the book.
作者: 樂(lè)意    時(shí)間: 2025-3-22 02:52
Ordered Structures,e ordered; on numbers we have arithmetic operations, on strings we have concatenation, substring tests, and so on. As query languages routinely use those operations, one may want to study them in the context of FO.
作者: 產(chǎn)生    時(shí)間: 2025-3-22 06:41

作者: 價(jià)值在貶值    時(shí)間: 2025-3-22 11:46
Monadic Second-Order Logic and Automata,esses some NP-complete problems, but at the same time cannot express graph connectivity. Then we restrict our attention to strings and trees, and show that, over them, MSO captures regular string and tree languages. We explore the connection with automata to prove further definability and complexity results.
作者: 碌碌之人    時(shí)間: 2025-3-22 13:18
Zero-One Laws,lso see that the “almost everywhere” behavior of logics is drastically different from their “everywhere” behavior. For example, while satisfiability in the finite is undecidable, it is decidable if a sentence is true in almost all finite models.
作者: 碌碌之人    時(shí)間: 2025-3-22 20:48
Other Applications of Finite Model Theory,of certain logics on some special finite structures (Kripke structures). And finally, it was recently discovered that many constraint satisfaction problems can be reduced to the existence of a homomorphism between two finite structures.
作者: detach    時(shí)間: 2025-3-23 00:52

作者: Abduct    時(shí)間: 2025-3-23 03:49

作者: Boycott    時(shí)間: 2025-3-23 06:10
https://doi.org/10.1007/978-1-349-09087-7re complexity classes. We then study definability and ordering of types in finite variable logics, and use these techniques to relate separating complexity classes to separating sonic fixed point logics over unordered structures.
作者: fibula    時(shí)間: 2025-3-23 11:36

作者: Arboreal    時(shí)間: 2025-3-23 16:55

作者: 誹謗    時(shí)間: 2025-3-23 20:47

作者: receptors    時(shí)間: 2025-3-24 00:24

作者: 高度    時(shí)間: 2025-3-24 04:37

作者: 鑲嵌細(xì)工    時(shí)間: 2025-3-24 07:36

作者: Irrigate    時(shí)間: 2025-3-24 11:00
Vincenzo Lattanzio,Giovanni Simonetti on the data complexity. We also consider the issue of . for a circuit model, and study it via logical definability. We then move to the combined complexity of FO, and show that it is much higher than the data complexity. Finally, we investigate an important subclass of FO queries — . — which play a central role in database theory.
作者: eulogize    時(shí)間: 2025-3-24 16:31

作者: etiquette    時(shí)間: 2025-3-24 20:13

作者: Licentious    時(shí)間: 2025-3-24 23:55
https://doi.org/10.1007/978-1-4615-4147-9of certain logics on some special finite structures (Kripke structures). And finally, it was recently discovered that many constraint satisfaction problems can be reduced to the existence of a homomorphism between two finite structures.
作者: 終點(diǎn)    時(shí)間: 2025-3-25 07:01
Textbook 2004ne-independent characterization of an important complexity class. In 1982, Immerman and Vardi showed that over ordered structures, a fixed point extension of first-order logic captures the complexity class PTIME of polynomial time computable propertiE~s. Shortly thereafter, logical characterizations
作者: 優(yōu)雅    時(shí)間: 2025-3-25 09:29
1862-4499 logic captures the complexity class PTIME of polynomial time computable propertiE~s. Shortly thereafter, logical characterizations978-3-642-05948-3978-3-662-07003-1Series ISSN 1862-4499 Series E-ISSN 1862-4502
作者: 專橫    時(shí)間: 2025-3-25 14:16

作者: Biomarker    時(shí)間: 2025-3-25 16:51

作者: 欺騙世家    時(shí)間: 2025-3-25 23:53

作者: indignant    時(shí)間: 2025-3-26 03:30

作者: 廢除    時(shí)間: 2025-3-26 07:57

作者: 使出神    時(shí)間: 2025-3-26 11:12
The Dismal Science: Economic Manications of finite model theory in computational complexity. We start by proving the earliest such result, Trakhtenbrot’s theorem, stating that finite satisfiability is not decidable. For the proof of Trakhtenbrot’s theorem, we code Turing machines with no inputs. By a refinement of this technique,
作者: 職業(yè)    時(shí)間: 2025-3-26 14:58

作者: Admonish    時(shí)間: 2025-3-26 17:03

作者: –DOX    時(shí)間: 2025-3-26 22:44

作者: Certainty    時(shí)間: 2025-3-27 01:17
https://doi.org/10.1007/978-1-4615-4147-9 tool for proving decidability results for satisfiability of FO sentences. In the area of temporal logics and verification, one analyzes the behavior of certain logics on some special finite structures (Kripke structures). And finally, it was recently discovered that many constraint satisfaction pro
作者: 不可侵犯    時(shí)間: 2025-3-27 07:56
978-3-642-05948-3Springer-Verlag Berlin Heidelberg 2004
作者: prostate-gland    時(shí)間: 2025-3-27 11:37

作者: Efflorescent    時(shí)間: 2025-3-27 16:13

作者: inhibit    時(shí)間: 2025-3-27 19:40
Izabela Gutowska,Monika Ra?,Dariusz ChlubekWinning games becomes nontrivial even for fairly simple examples. But often we can avoid complicated combinatorial arguments, by using rather simple sufficient conditions that guarantee a winning strategy for the duplicator. For first-order logic, most such conditions are based on the idea of ., best illustrated by the example in Fig. 4.1.
作者: 詢問(wèn)    時(shí)間: 2025-3-27 23:38

作者: Affection    時(shí)間: 2025-3-28 02:12

作者: 使堅(jiān)硬    時(shí)間: 2025-3-28 07:34

作者: 非秘密    時(shí)間: 2025-3-28 13:18
Locality and Winning Games,Winning games becomes nontrivial even for fairly simple examples. But often we can avoid complicated combinatorial arguments, by using rather simple sufficient conditions that guarantee a winning strategy for the duplicator. For first-order logic, most such conditions are based on the idea of ., best illustrated by the example in Fig. 4.1.
作者: 自愛(ài)    時(shí)間: 2025-3-28 14:48

作者: CHIDE    時(shí)間: 2025-3-28 21:39
Embedded Finite Models,In finite model theory, we deal with logics over finite structures. In embedded finite model theory, we deal with logics over finite structures embedded into infinite ones.
作者: 通情達(dá)理    時(shí)間: 2025-3-28 23:32
Leonid LibkinSuitable for both a one-term graduate course, and for self-study, as well as reference.Includes supplementary material:
作者: RLS898    時(shí)間: 2025-3-29 05:12
Texts in Theoretical Computer Science. An EATCS Serieshttp://image.papertrans.cn/e/image/307589.jpg
作者: Intruder    時(shí)間: 2025-3-29 07:45

作者: Allege    時(shí)間: 2025-3-29 12:53
,Was folgt daraus für den Menschen?,n. The limited expressiveness of FO and counting logics is due to the fact that they lack mechanisms for expressing fixed point computations. Other logics we have seen, such as MSO, ?SO, and ?SO, can express intractable graph properties.
作者: eardrum    時(shí)間: 2025-3-29 19:33

作者: Anticoagulant    時(shí)間: 2025-3-29 20:38

作者: Capitulate    時(shí)間: 2025-3-30 01:27

作者: geriatrician    時(shí)間: 2025-3-30 06:29

作者: Camouflage    時(shí)間: 2025-3-30 11:41
Complexity of First-Order Logic,the complexity of a logic over finite structures: these are ., ., and . complexity. We then connect FO with Boolean circuits and establish some bounds on the data complexity. We also consider the issue of . for a circuit model, and study it via logical definability. We then move to the combined comp
作者: bromide    時(shí)間: 2025-3-30 14:15

作者: 金哥占卜者    時(shí)間: 2025-3-30 19:33





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