標(biāo)題: Titlebook: Algebraic Foundations of Many-Valued Reasoning; Roberto L. O. Cignoli,Itala M. L. D’Ottaviano,Dani Book 2000 Springer Science+Business Med [打印本頁] 作者: mature 時間: 2025-3-21 18:11
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書目名稱Algebraic Foundations of Many-Valued Reasoning讀者反饋
書目名稱Algebraic Foundations of Many-Valued Reasoning讀者反饋學(xué)科排名
作者: cancer 時間: 2025-3-21 22:18
Basic notions,quipped with truncated addition . = min(1, .) and negation 1 - .. We show that every MV-algebra contains a natural lattice-order. The chapter culminates with Chang’s Subdirect Representation Theorem, stating that if an equation holds in all totally ordered MV-algebras, then the equation holds in all作者: Trypsin 時間: 2025-3-22 01:02 作者: 流逝 時間: 2025-3-22 06:41
Free MV-algebras, is satisfied by .. then the equation is automatically satisfied by all MV-algebras. As a consequence of the completeness theorem, .. is easily described as an MV-algebra of piecewise linear continuous [0,1]-valued functions defined over the cube [0, 1].. Known as McNaughton functions, they stand to作者: 能量守恒 時間: 2025-3-22 11:25
,?ukasiewicz ∞-valued calculus,re (for definiteness, a Turing machine) deciding whether an arbitrary equation . = 1 holds in all MV-algebras? More generally, given two terms . and ., does there exist an effective procedure to decide whether the McNaughton function determined by . belongs to the principal ideal determined by . in 作者: omnibus 時間: 2025-3-22 16:08 作者: 敬禮 時間: 2025-3-22 18:23
Lattice-theoretical properties,deals of an MV-algebra . and the ideals of the lattice .(.). A stonean ideal of a bounded distributive lattice . is an ideal generated by complemented elements of .. We shall show that the minimal prime lattice ideals of .(.), as well as the stonean ideals of L(.), are always ideals of ..作者: Ledger 時間: 2025-3-22 22:47 作者: 闡釋 時間: 2025-3-23 04:49 作者: Largess 時間: 2025-3-23 06:51
Advanced topics,der machinery of Chapter 3 to formulas in any number of variables. Disjunctive normal forms will be the key tool to prove Mc-Naughton’s theorem, generalizing the proof given in 3.2.8 for functions of one variable. We shall also discuss the relationships between normal form reductions and toric desin作者: abstemious 時間: 2025-3-23 11:26 作者: 高貴領(lǐng)導(dǎo) 時間: 2025-3-23 14:07
Decision Science and Social Risk Managementrly stages of many-valued logic, and offers succinct historical and bibliographical remarks to an intended audience of physicists. The books [149], [30] and [227] contain English translations of papers by ?ukasiewicz and Wajsberg.作者: APEX 時間: 2025-3-23 18:14 作者: Osteons 時間: 2025-3-23 22:12 作者: 嫌惡 時間: 2025-3-24 04:38 作者: 貞潔 時間: 2025-3-24 06:43
Chang completeness theorem,roof is elementary, and makes use of tools (such as “good sequences”) that shall also find applications in a subsequent chapter to show the equivalence between MV-algebras and lattice-ordered abelian groups with strong unit.作者: Nebulous 時間: 2025-3-24 13:19 作者: ENNUI 時間: 2025-3-24 17:55 作者: pantomime 時間: 2025-3-24 23:01
https://doi.org/10.1007/978-94-009-4698-9gularizations, and the correspondence between MV-algebras and AF .*-algebras. Strengthening Corollary 4.5.3, we shall show that the tautology problem in the infinite-valued calculus is in fact co-NP-complete, thus having the same complexity as it boolean counterpart. We shall give a proof of Di Nola’s representation theorem for all MV-algebras.作者: 神圣在玷污 時間: 2025-3-25 03:11
Free MV-algebras, MV-algebras as {0,1}-valued functions stand to boolean algebras. Many interesting classes of MV-algebras can be described as algebras of [0, l]-valued continuous functions over some compact Hausdorff space. The various representation theorems presented in this chapter all depend on our concrete representation of free MV-algebras.作者: Jejune 時間: 2025-3-25 03:35
Advanced topics,gularizations, and the correspondence between MV-algebras and AF .*-algebras. Strengthening Corollary 4.5.3, we shall show that the tautology problem in the infinite-valued calculus is in fact co-NP-complete, thus having the same complexity as it boolean counterpart. We shall give a proof of Di Nola’s representation theorem for all MV-algebras.作者: 災(zāi)禍 時間: 2025-3-25 09:38 作者: 頌揚(yáng)國家 時間: 2025-3-25 14:27 作者: iodides 時間: 2025-3-25 17:25
https://doi.org/10.1007/978-81-322-2364-1quipped with truncated addition . = min(1, .) and negation 1 - .. We show that every MV-algebra contains a natural lattice-order. The chapter culminates with Chang’s Subdirect Representation Theorem, stating that if an equation holds in all totally ordered MV-algebras, then the equation holds in all作者: FOR 時間: 2025-3-25 22:09 作者: 完整 時間: 2025-3-26 02:17
https://doi.org/10.1007/978-94-009-0493-4 is satisfied by .. then the equation is automatically satisfied by all MV-algebras. As a consequence of the completeness theorem, .. is easily described as an MV-algebra of piecewise linear continuous [0,1]-valued functions defined over the cube [0, 1].. Known as McNaughton functions, they stand to作者: 擁護(hù) 時間: 2025-3-26 06:57 作者: Progesterone 時間: 2025-3-26 11:56 作者: 潛伏期 時間: 2025-3-26 14:28
https://doi.org/10.1007/978-3-642-45686-2deals of an MV-algebra . and the ideals of the lattice .(.). A stonean ideal of a bounded distributive lattice . is an ideal generated by complemented elements of .. We shall show that the minimal prime lattice ideals of .(.), as well as the stonean ideals of L(.), are always ideals of ..作者: Extricate 時間: 2025-3-26 18:40 作者: dialect 時間: 2025-3-26 21:12 作者: 規(guī)范要多 時間: 2025-3-27 03:00 作者: etiquette 時間: 2025-3-27 08:02 作者: 兩種語言 時間: 2025-3-27 12:42 作者: hemorrhage 時間: 2025-3-27 17:01
1572-6126 Overview: 978-90-481-5336-7978-94-015-9480-6Series ISSN 1572-6126 Series E-ISSN 2212-7313 作者: Yourself 時間: 2025-3-27 19:53
https://doi.org/10.1007/978-81-322-2364-1s algebras, Chang’s MV-algebras. This book is for self-study: with the possible exception of Chapter 9 on advanced topics, the only prerequisite for the reader is some acquaintance with classical propositional logic, and elementary algebra and topology.作者: 真 時間: 2025-3-27 22:29
https://doi.org/10.1007/978-81-322-2364-1quipped with truncated addition . = min(1, .) and negation 1 - .. We show that every MV-algebra contains a natural lattice-order. The chapter culminates with Chang’s Subdirect Representation Theorem, stating that if an equation holds in all totally ordered MV-algebras, then the equation holds in all MV-algebras.作者: Expiration 時間: 2025-3-28 02:50
https://doi.org/10.1007/978-3-642-45686-2le interpretation is given by ., the variant of the game of Twenty Questions where . - 2 lies, or errors, are allowed in the answers. The case . = 2 corresponds to the traditional game without lies. The game is originally described by Ulam on page 281 of his book [235] as follows:作者: 祝賀 時間: 2025-3-28 07:14 作者: convert 時間: 2025-3-28 11:03 作者: 光亮 時間: 2025-3-28 16:33 作者: 投射 時間: 2025-3-28 20:21 作者: 完全 時間: 2025-3-29 00:24
Basic notions,quipped with truncated addition . = min(1, .) and negation 1 - .. We show that every MV-algebra contains a natural lattice-order. The chapter culminates with Chang’s Subdirect Representation Theorem, stating that if an equation holds in all totally ordered MV-algebras, then the equation holds in all MV-algebras.作者: Lipoprotein 時間: 2025-3-29 04:19 作者: troponins 時間: 2025-3-29 10:26 作者: Injunction 時間: 2025-3-29 13:26
,MV-algebras and ?-groups,bras. In this chapter we shall prove that Γ is a natural equivalence (i.e., a full, faithful and dense functor) between . and .. As a consequence, a genuine addition can be uniquely recovered from the MV-algebraic structure. Several applications will be discussed.作者: FAWN 時間: 2025-3-29 16:45
Varieties of MV-algebras,ons in .. For instance, when . ?, we obtain the variety . of MV-algebras. When .}, we obtain the variety of trivial MV-algebras. The main aim of this chapter is to describe all varieties of MV-algebras.