Academic literature on the topic 'Three-valued logic'

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Journal articles on the topic "Three-valued logic"

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Kooi, Barteld, and Allard Tamminga. "Three-valued Logics in Modal Logic." Studia Logica 101, no. 5 (2012): 1061–72. http://dx.doi.org/10.1007/s11225-012-9420-0.

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Oliveira, Kleidson Êglicio Carvalho da Silva. "Paraconsistent Logic Programming in Three and Four-Valued Logics." Bulletin of Symbolic Logic 28, no. 2 (2022): 260. http://dx.doi.org/10.1017/bsl.2021.34.

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AbstractFrom the interaction among areas such as Computer Science, Formal Logic, and Automated Deduction arises an important new subject called Logic Programming. This has been used continuously in the theoretical study and practical applications in various fields of Artificial Intelligence. After the emergence of a wide variety of non-classical logics and the understanding of the limitations presented by first-order classical logic, it became necessary to consider logic programming based on other types of reasoning in addition to classical reasoning. A type of reasoning that has been well stu
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Devyatkin, Leonid Yu. "On the three-valued expansions of Kleene's logic." Logical Investigations 29, no. 2 (2023): 59–88. http://dx.doi.org/10.21146/2074-1472-2023-29-2-59-88.

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The paper is devoted to one of the most famous three-valued systems – Kleene's logic. The expressive capabilities of Kleene's logic and its three-valued expansions are described. We present two results. First, all possible three-valued expansions of Kleene's logic are found up to equivalence with respect to the mutual definability of connectives. It is shown that there are only twelve such expansions. This list includes both logics already known in the literature and completely new ones. For the found expansions, we describe the structure of the lattice ordered relative to the expressive power
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Томова, Н. Е. "Natural three-valued logics and classical logic." Logical Investigations 19 (April 9, 2013): 344–52. http://dx.doi.org/10.21146/2074-1472-2013-19-0-344-352.

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In this paper implicative fragments of natural three- valued logic are investigated. It is proved that some fragments are equivalent by set of tautologies to implicative fragment of classical logic. It is also shown that some natural three-valued logics verify all tautologies of classical propositional logic.
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Vauzeilles, J., and A. Strauss. "Intuitionistic three-valued logic and logic programming." RAIRO - Theoretical Informatics and Applications 25, no. 6 (1991): 557–87. http://dx.doi.org/10.1051/ita/1991250605571.

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Giuntini, Roberto. "Three-valued Brouwer-zadeh logic." International Journal of Theoretical Physics 32, no. 10 (1993): 1875–87. http://dx.doi.org/10.1007/bf00979508.

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Delahaye, J. P., and V. Thibau. "Programming in three-valued logic." Theoretical Computer Science 78, no. 1 (1991): 189–216. http://dx.doi.org/10.1016/0304-3975(51)90008-4.

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Тамминга, А. "Correspondence analysis for strong three-valued logic." Logical Investigations 20 (May 8, 2014): 253–66. http://dx.doi.org/10.21146/2074-1472-2014-20-0-253-266.

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I apply Kooi and Tamminga’s (2012) idea of correspondence analysis for many-valued logics to strong three-valued logic (K3). First, I characterize each possible single entry in the truth-table of a unary or a binary truth-functional operator that could be added to K3 by a basic inference scheme. Second, I define a class of natural deduction systems on the basis of these charac- terizing basic inference schemes and a natural deduction system for K3. Third, I show that each of the resulting natural deduction systems is sound and complete with respect to its particular semantics. Among other thin
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Takagi, Tsubasa. "Translation from Three-Valued Quantum Logic to Modal Logic." International Journal of Theoretical Physics 60, no. 1 (2021): 366–77. http://dx.doi.org/10.1007/s10773-020-04701-z.

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AbstractWe translate the three-valued quantum logic into modal logic, and prove 3-equivalence between the valuation of the three-valued logic and a kind of Kripke model in regard to this translation. To prove 3-equivalence, we introduce an observable-dependent logic, which is a fragment of the many-valued quantum logic. Compared to the Birkhoff and von Neumann’s quantum logic, some notions about observables, the completeness relation for example, in quantum mechanics can be utilized if the observable-dependent logic is employed.
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Morikawa, Osamu. "Some modal logics based on a three-valued logic." Notre Dame Journal of Formal Logic 30, no. 1 (1988): 130–37. http://dx.doi.org/10.1305/ndjfl/1093635000.

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Dissertations / Theses on the topic "Three-valued logic"

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Jervis, Clive Andrew. "A theory of program correctness with three valued logic." Thesis, University of Leeds, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.277297.

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Dietz, Saldanha Emmanuelle-Anna. "From Logic Programming to Human Reasoning:." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-227412.

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Results of psychological experiments have shown that humans make assumptions, which are not necessarily valid, that they are influenced by their background knowledge and that they reason non-monotonically. These observations show that classical logic does not seem to be adequate for modeling human reasoning. Instead of assuming that humans do not reason logically at all, we take the view that humans do not reason classical logically. Our goal is to model episodes of human reasoning and for this purpose we investigate the so-called Weak Completion Semantics. The Weak Completion Semantics is a L
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MOLTENI, MARIA CHIARA. "ON THE SECURITY OF CRYPTOGRAPHIC CIRCUITS:PROTECTION AGAINST PROBING ATTACKS AND PERFORMANCE IMPROVEMENT OF GARBLED CIRCUITS." Doctoral thesis, Università degli Studi di Milano, 2022. http://hdl.handle.net/2434/920426.

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Dealing with secure computation and communication in hardware devices, an attacker that threatens to security of the systems can be of two different types. The first type of attacker is external to the exchange of secret messages and tries to steal some sensitive information. Probing a circuit is a useful technique through which an attacker can derive information correlated with the secret manipulated by a cryptographic circuit. Probing security is the branch of research that tries to devise models, tools and countermeasures against this type of attacks. We define a new methodology that al
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Loginov, Alexey A. "Refinement-based program verification via three-valued-logic analysis." 2006. http://www.library.wisc.edu/databases/connect/dissertations.html.

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Books on the topic "Three-valued logic"

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Li, Wei, and Yuefei Sui. R-Calculus, III: Post Three-Valued Logic. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-4270-9.

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R-Calculus, III: Post Three-Valued Logic. Springer, 2023.

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Li, Wei, and Yuefei Sui. R-Calculus, III: Post Three-Valued Logic. Springer, 2022.

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Button, Tim, and Sean Walsh. Boolean-valued structures. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198790396.003.0013.

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Chapters 6-12 are driven by questions about the ability to pin down mathematical entities and to articulate mathematical concepts. This chapter is driven by similar questions about the ability to pin down the semantic frameworks of language. It transpires that there are not just non-standard models, but non-standard ways of doing model theory itself. In more detail: whilst we normally outline a two-valued semantics which makes sentences True or False in a model, the inference rules for first-order logic are compatible with a four-valued semantics; or a semantics with countably many values; or
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Book chapters on the topic "Three-valued logic"

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Li, Wei, and Yuefei Sui. "Post Three-Valued Logic." In Perspectives in Formal Induction, Revision and Evolution. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-4270-9_4.

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Li, Wei, and Yuefei Sui. "Post Three-Valued Description Logic." In Perspectives in Formal Induction, Revision and Evolution. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-4270-9_6.

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Hölldobler, Steffen, and Carroline Dewi Puspa Kencana Ramli. "Logic Programs under Three-Valued Łukasiewicz Semantics." In Logic Programming. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02846-5_37.

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Wang, Wen-Fang. "Three-Valued Plurivaluationism of Vague Predicates." In Logic, Rationality, and Interaction. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48561-3_31.

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Schmitt, P. H. "Computational aspects of three-valued logic." In 8th International Conference on Automated Deduction. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/3-540-16780-3_90.

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Schmitt, P. H. "Deductive aspects of three-valued logic." In Text Understanding in LILOG. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54594-8_71.

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Teusink, Frank. "Three-valued completion for abductive logic programs." In Algebraic and Logic Programming. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/3-540-58431-5_12.

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Ciucci, Davide, and Didier Dubois. "Three-Valued Logics for Incomplete Information and Epistemic Logic." In Logics in Artificial Intelligence. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33353-8_12.

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García-Honrado, Itziar. "Some Entertainments Dealing with Three Valued Logic." In Claudio Moraga: A Passion for Multi-Valued Logic and Soft Computing. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-48317-7_3.

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Li, Wei, and Yuefei Sui. "R-Calculi for Post Three-Valued Logic." In Perspectives in Formal Induction, Revision and Evolution. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-4270-9_5.

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Conference papers on the topic "Three-valued logic"

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Sandeep, Peruri Sai, N. Srinivasa Rao, Shafiulla Basha, Shaik Javid Basha, Y. Mallikarjuna Rao, and Gali Sowmya. "Energy-Efficient Three-Valued Logic Encoder and Decoder Circuits with GNRFETs." In 2025 3rd International Conference on Data Science and Information System (ICDSIS). IEEE, 2025. https://doi.org/10.1109/icdsis65355.2025.11070691.

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Charalambidis, Angelos, Giannos Chatziagapis, Babis Kostopoulos, and Panos Rondogiannis. "Non-monotone Fixpoint Theory Based on the Structure of Weak Bilattices." In 21st International Conference on Principles of Knowledge Representation and Reasoning {KR-2023}. International Joint Conferences on Artificial Intelligence Organization, 2024. http://dx.doi.org/10.24963/kr.2024/23.

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We extend the well-known representation theorem for interlaced bilattices to the broader class of weak interlaced bilattices. Based on this new theorem, we develop a fixpoint theory for non-monotone functions over weak infinitarily interlaced bilattices. Our theory generalizes classical fixpoint constructions introduced by Fitting, as-well-as recent results in the area of approximation fixpoint theory. We argue that the proposed theory has direct practical applications: we develop the semantics of higher-order logic programming with negation under an arbitrary weak infinitarily interlaced bila
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Chan, Hsu, Brody, and Teh. "Neural three-valued-logic networks." In International Joint Conference on Neural Networks. IEEE, 1989. http://dx.doi.org/10.1109/ijcnn.1989.118381.

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Nakayama, Yotaro, Seiki Akama, and Tetsuya Murai. "Rough Set Logic for Kleene's Three-valued Logic." In 2020 Joint 11th International Conference on Soft Computing and Intelligent Systems and 21st International Symposium on Advanced Intelligent Systems (SCIS-ISIS). IEEE, 2020. http://dx.doi.org/10.1109/scisisis50064.2020.9322701.

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You, Jia-Huai, and Li Yan Yuan. "Three-valued formalization of logic programming." In the ninth ACM SIGACT-SIGMOD-SIGART symposium. ACM Press, 1990. http://dx.doi.org/10.1145/298514.298559.

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Guo, Jian, and Jungang Han. "Symbolic Model Checking for Three Valued Logic." In 2009 WRI International Conference on Communications and Mobile Computing (CMC). IEEE, 2009. http://dx.doi.org/10.1109/cmc.2009.333.

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Ciucci, Davide, and Didier Dubois. "From paraconsistent three-valued logics to multiple-source epistemic logic." In The 8th conference of the European Society for Fuzzy Logic and Technology. Atlantis Press, 2013. http://dx.doi.org/10.2991/eusflat.2013.116.

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Belardinelli, Francesco, and Vadim Malvone. "A Three-valued Approach to Strategic Abilities under Imperfect Information." In 17th International Conference on Principles of Knowledge Representation and Reasoning {KR-2020}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/kr.2020/10.

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A major challenge for logics for strategies is represented by their verification in contexts of imperfect information. In this contribution we advance the state of the art by approximating the verification of Alternating-time Temporal Logic (ATL) under imperfect information by using perfect information and a three-valued semantics. In particular, we develop novel automata-theoretic techniques for the linear-time logic LTL, then apply these to finding “failure” states, where the ATL specification to be model checked is undefined. Such failure states can then be fed into a refinement procedure,
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Belardinelli, Francesco, Angelo Ferrando, Wojciech Jamroga, Vadim Malvone, and Aniello Murano. "Scalable Verification of Strategy Logic through Three-Valued Abstraction." In Thirty-Second International Joint Conference on Artificial Intelligence {IJCAI-23}. International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/ijcai.2023/6.

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The model checking problem for multi-agent systems against Strategy Logic specifications is known to be non-elementary. On this logic several fragments have been defined to tackle this issue but at the expense of expressiveness. In this paper, we propose a three-valued semantics for Strategy Logic upon which we define an abstraction method. We show that the latter semantics is an approximation of the classic two-valued one for Strategy Logic. Furthermore, we extend MCMAS, an open-source model checker for multi-agent specifications, to incorporate our abstraction method and present some promisi
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Ciucci, Davide, and Didier Dubois. "Truth-Functionality, Rough Sets and Three-Valued Logics." In 2010 40th IEEE International Symposium on Multiple-Valued Logic. IEEE, 2010. http://dx.doi.org/10.1109/ismvl.2010.26.

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Reports on the topic "Three-valued logic"

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Kozachenko, Nadiia. AGM cognitive actions as modal operators of three-valued logic: presentation. Ruhr-Universität Bochum, 2022. http://dx.doi.org/10.31812/123456789/6687.

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AGM is designed so that its principles can be applied to the development of belief dynamics models, regardless of the field of application. The main idea of this work is to see how we can to represent cognitive actions considered in AGM within a certain three-valued logic, and check what interesting properties can be discovered in this way. To do this, we will consider the basic concepts and principles of AGM. Then we interpret them in a logical schema. And then we see what information about them we can get in the resulting system.
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McKenna, Patrick, and Mark Evans. Emergency Relief and complex service delivery: Towards better outcomes. Queensland University of Technology, 2021. http://dx.doi.org/10.5204/rep.eprints.211133.

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Emergency Relief (ER) is a Department of Social Services (DSS) funded program, delivered by 197 community organisations (ER Providers) across Australia, to assist people facing a financial crisis with financial/material aid and referrals to other support programs. ER has been playing this important role in Australian communities since 1979. Without ER, more people living in Australia who experience a financial crisis might face further harm such as crippling debt or homelessness. The Emergency Relief National Coordination Group (NCG) was established in April 2020 at the start of the COVID-19 p
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