標(biāo)題: Titlebook: Cylindric-like Algebras and Algebraic Logic; Hajnal Andréka,Miklós Ferenczi,István Németi Book 2013 Springer-Verlag Berlin Heidelberg 2013 [打印本頁] 作者: Body-Mass-Index 時間: 2025-3-21 19:55
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書目名稱Cylindric-like Algebras and Algebraic Logic讀者反饋
書目名稱Cylindric-like Algebras and Algebraic Logic讀者反饋學(xué)科排名
作者: 邪惡的你 時間: 2025-3-21 20:54 作者: 埋葬 時間: 2025-3-22 02:37 作者: 臨時抱佛腳 時間: 2025-3-22 05:05 作者: medium 時間: 2025-3-22 09:20
Representable Cylindric Algebras and Many-Dimensional Modal LogicsThe equationally expressible properties of the cylindrifications and the diagonals in finite-dimensional representable cylindric algebras can be divided into two groups:作者: cylinder 時間: 2025-3-22 13:34 作者: cylinder 時間: 2025-3-22 19:13
Bolyai Society Mathematical Studieshttp://image.papertrans.cn/d/image/242578.jpg作者: 音樂等 時間: 2025-3-22 22:59
Felicity A. Huntingford,Angela K. Turners as logic, mathematics, computer science, artificial intelligence, linguistics and even relativity theory. In some of the applications one has to transcend (a little) the original definition of CAs but .. For example, the emphasis shifted to relativized CAs and to adding extra operations such as, e作者: Pelago 時間: 2025-3-23 01:39
Felicity A. Huntingford,Angela K. Turner theory of relation algebras (RA) corresponds to a logic without individual variables, in other words, to a propositional logic. This is why the title of the book [Tar-Giv,87] is “Formalizing set theory without variables”. Tarski got the surprising result that a propositional logic can be strong eno作者: 鋼筆記下懲罰 時間: 2025-3-23 07:31 作者: Spirometry 時間: 2025-3-23 09:48 作者: 充氣女 時間: 2025-3-23 15:04
Yi-Ning Chen,Ching Ching Wu,Tsang Long Lin natural interface between universal algebra and logic (in our present context a variant of first order logic). Indeed, in algebraic logic amalgamation properties in classes of algebras are proved to be equivalent to interpolation results in the corresponding logic. In algebra, the properties of epi作者: amplitude 時間: 2025-3-23 20:18 作者: 驚奇 時間: 2025-3-24 00:06 作者: 擔(dān)憂 時間: 2025-3-24 06:24
SARS-CoV-2 Real-Time RT-PCR Assay in Animalsifferent path than it did in the past 40 years. Among other things, it would have probably spelled the end of the “abstract” class CA. as a separate subject of research; after all, why bother with abstract algebras, if a few nice extra equations can get us from there to concrete algebras of relation作者: 發(fā)出眩目光芒 時間: 2025-3-24 08:21
Nils Chr. Stenseth,William Z. Lidickerfields as algebraic geometry and algebraic topology, where the main constructions and theorems are algebraic in nature, but the main intuitions underlying them are respectively geometric and topological. The main intuitions underlying algebraic logic are, of course, those of formal logic. Investigat作者: 與野獸博斗者 時間: 2025-3-24 12:20
https://doi.org/10.1007/978-94-011-2338-9sisting of sequences satisfying the first order formula φ in the model . constitutes the universe of a cylindric set algebra is ‘the main motivating force for […] the whole topic of algebraic logic.’ (cf. [Mon,00] p. 453). Therefore, the investigation of cylindric set algebras from the point of view作者: 返老還童 時間: 2025-3-24 17:33 作者: 非秘密 時間: 2025-3-24 21:04
The study of dispersal: a conceptual guidece of First-Order Logic and Cylindric Algebra. This chapter is about a more specialized contact: the flow of ideas between algebra and modal logic through ‘guarded fragments’ restricting the range of quantification over objects. Here is some general background for this topic. For a start, the connec作者: 令人心醉 時間: 2025-3-25 01:55 作者: irradicable 時間: 2025-3-25 04:54 作者: AV-node 時間: 2025-3-25 08:38
Introductions as logic, mathematics, computer science, artificial intelligence, linguistics and even relativity theory. In some of the applications one has to transcend (a little) the original definition of CAs but .. For example, the emphasis shifted to relativized CAs and to adding extra operations such as, e作者: Relinquish 時間: 2025-3-25 15:11 作者: OCTO 時間: 2025-3-25 18:59
Varieties of Two-Dimensional Cylindric Algebrasmensional diagonal-free cylindric algebras and with varieties of two-dimensional cylindric algebras with the diagonal. It is well known that two-dimensional diagonal-free cylindric algebras correspond to the two variable equality-free fragment of classical first-order logic FOL, whereas two-dimensio作者: STALL 時間: 2025-3-25 20:12
Completions and Complete Representationsdered is this: to what extent can we use an abstract mathematical language to express and reason about relations? Going back at least as far as Augustus de Morgan [Mor,60], a relation can be . explicitly, as a set of tuples of some fixed length. This allows us to focus on the mathematical aspects of作者: objection 時間: 2025-3-26 01:56
Amalgamation, Interpolation and Epimorphisms in Algebraic Logic natural interface between universal algebra and logic (in our present context a variant of first order logic). Indeed, in algebraic logic amalgamation properties in classes of algebras are proved to be equivalent to interpolation results in the corresponding logic. In algebra, the properties of epi作者: discord 時間: 2025-3-26 05:44
Neat Reducts and Neat Embeddings in Cylindric Algebrass is due to Leon Henkin, and one can find that the discussion of this notion is comprehensive and detailed in [Hen-Mon-Tar,85] (closer to the end of the book). This notion proved useful in at least two respects. Analyzing the number of variables appearing in proofs of first order formulas [Hir-Hod,0作者: 遭受 時間: 2025-3-26 11:44 作者: 熒光 時間: 2025-3-26 15:25 作者: 斷斷續(xù)續(xù) 時間: 2025-3-26 17:20
Completions, Complete Representations and Omitting Typesfields as algebraic geometry and algebraic topology, where the main constructions and theorems are algebraic in nature, but the main intuitions underlying them are respectively geometric and topological. The main intuitions underlying algebraic logic are, of course, those of formal logic. Investigat作者: exigent 時間: 2025-3-26 22:14 作者: FEIGN 時間: 2025-3-27 03:32 作者: 寵愛 時間: 2025-3-27 06:53 作者: 使堅硬 時間: 2025-3-27 10:32
Cylindric Probability Algebrast we are looking for the quantity of those . ∈ . for which φ[.] is true. Of course, the mathematical discipline for these considerations is probability theory. The logic suitable for this kind of reasoning was introduced by H. J. Keisler in 1976. This logic has formulas similar to those of .. ? .. (作者: accessory 時間: 2025-3-27 15:01 作者: CODE 時間: 2025-3-27 19:28 作者: 煞費(fèi)苦心 時間: 2025-3-27 23:21
Sarah M. Keep,Erica Bickerton,Paul Britton is equal to the converse of its converse). Ideally, our set G of equations will be ., so that any equation valid over fields of relations of a certain rank equipped with the chosen set-theoretically definable operators will be entailed by Γ.作者: 復(fù)習(xí) 時間: 2025-3-28 05:11
Yi-Ning Chen,Ching Ching Wu,Tsang Long Linholds for certain modifications of first order logic, be it reducts or expansions, like .. (first order logic restricted to finitely many . variables) and the extensions of first order logic studied in [Hen-Mon-Tar,85] Sec. 4.3, which are essentially finitary but have an infinitary flavour.作者: 仲裁者 時間: 2025-3-28 09:00 作者: RECUR 時間: 2025-3-28 10:42 作者: Individual 時間: 2025-3-28 17:37
The study of dispersal: a conceptual guide as that between BAOs and the usual relational models of modal logic. An important example is the main theorem in Goldblatt and Thomason [Gol-Tho,74] characterizing the elementary modally definable frame classes through their closure under taking generated sub-frames, disjoint unions, .-morphic imag作者: osteocytes 時間: 2025-3-28 19:33
Entangled Empathy: Politics and Practices as no surprise that the resulting query languages are of the same expressive power. The extended relations of [Yan-Pap,82] are, loosely speaking, nothing else than an embedding of some finite cylindric algebra into an infinite algebra of formulae, and a transformation from finite dimensional relat作者: Stable-Angina 時間: 2025-3-29 01:25 作者: HARP 時間: 2025-3-29 05:20
Completions and Complete Representations is equal to the converse of its converse). Ideally, our set G of equations will be ., so that any equation valid over fields of relations of a certain rank equipped with the chosen set-theoretically definable operators will be entailed by Γ.作者: 發(fā)炎 時間: 2025-3-29 08:56 作者: 刺穿 時間: 2025-3-29 11:40
Representing all Cylindric Algebras by Twisting on a Problem of Henkinentable are sought. This line of research is typical: the question one asks here is “what is missing from CAs to be representable?”. But Henkin (himself a prolific contributor to representation theory) turned around this question and instead of asking how much CAs needed to be representable, he aske作者: 門窗的側(cè)柱 時間: 2025-3-29 18:09
Completions, Complete Representations and Omitting Typestions as objects of interest in their own right and go on to discuss questions which naturally arise independently of any connection with logic. But often such purely algebraic results have impact on the logic side. Examples are the undecidability of the representation problem for finite relation al作者: 裂縫 時間: 2025-3-29 20:51
Crs and Guarded Logics: A Fruitful Contact as that between BAOs and the usual relational models of modal logic. An important example is the main theorem in Goldblatt and Thomason [Gol-Tho,74] characterizing the elementary modally definable frame classes through their closure under taking generated sub-frames, disjoint unions, .-morphic imag作者: 開始沒有 時間: 2025-3-30 02:58 作者: 使出神 時間: 2025-3-30 05:28
Cylindric Modal Logicectively. Elaborating this idea, we find that from this modal viewpoint, the standard semantics of first-order logic corresponds to just one of many possible classes of Kripke frames, and that other classes might be of interest as well.作者: 單純 時間: 2025-3-30 11:39
The genetic consequences of dispersalectively. Elaborating this idea, we find that from this modal viewpoint, the standard semantics of first-order logic corresponds to just one of many possible classes of Kripke frames, and that other classes might be of interest as well.作者: LINES 時間: 2025-3-30 14:39 作者: Culmination 時間: 2025-3-30 16:35
Neat Reducts and Neat Embeddings in Cylindric Algebrashis paper, among other things, surveys the status of these problems 40 years after they first appeared. Long proofs are omitted, except for one, which gives the gist of techniques used to solve such kind of problems.