Letteratura scientifica selezionata sul tema "Higher order logics"

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Articoli di riviste sul tema "Higher order logics"

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Finkelstein, David. "Higher-order quantum logics." International Journal of Theoretical Physics 31, no. 9 (September 1992): 1627–38. http://dx.doi.org/10.1007/bf00671777.

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Hella, Lauri, and José M. Turull-Torres. "Expressibility of Higher Order Logics." Electronic Notes in Theoretical Computer Science 84 (September 2003): 129–40. http://dx.doi.org/10.1016/s1571-0661(04)80850-8.

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Aguirre, Alejandro, Gilles Barthe, Marco Gaboardi, Deepak Garg, Shin-ya Katsumata, and Tetsuya Sato. "Higher-order probabilistic adversarial computations: categorical semantics and program logics." Proceedings of the ACM on Programming Languages 5, ICFP (August 22, 2021): 1–30. http://dx.doi.org/10.1145/3473598.

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Adversarial computations are a widely studied class of computations where resource-bounded probabilistic adversaries have access to oracles, i.e., probabilistic procedures with private state. These computations arise routinely in several domains, including security, privacy and machine learning. In this paper, we develop program logics for reasoning about adversarial computations in a higher-order setting. Our logics are built on top of a simply typed λ-calculus extended with a graded monad for probabilities and state. The grading is used to model and restrict the memory footprint and the cost
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Dal Lago, Ugo, Simone Martini, and Davide Sangiorgi. "Light Logics and Higher-Order Processes." Electronic Proceedings in Theoretical Computer Science 41 (November 28, 2010): 46–60. http://dx.doi.org/10.4204/eptcs.41.4.

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DAL LAGO, UGO, SIMONE MARTINI, and DAVIDE SANGIORGI. "Light logics and higher-order processes." Mathematical Structures in Computer Science 26, no. 6 (November 17, 2014): 969–92. http://dx.doi.org/10.1017/s0960129514000310.

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We show that the techniques for resource control that have been developed by the so-calledlight logicscan be fruitfully applied also to process algebras. In particular, we present a restriction of higher-order π-calculus inspired by soft linear logic. We prove that any soft process terminates in polynomial time. We argue that the class of soft processes may be naturally enlarged so that interesting processes are expressible, still maintaining the polynomial bound on executions.
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Hella, Lauri, and José María Turull-Torres. "Computing queries with higher-order logics." Theoretical Computer Science 355, no. 2 (April 2006): 197–214. http://dx.doi.org/10.1016/j.tcs.2006.01.009.

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Crary, Karl. "Higher-order representation of substructural logics." ACM SIGPLAN Notices 45, no. 9 (September 27, 2010): 131–42. http://dx.doi.org/10.1145/1932681.1863565.

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Benzmüller, Christoph, Dov Gabbay, Valerio Genovese, and Daniele Rispoli. "Embedding and automating conditional logics in classical higher-order logic." Annals of Mathematics and Artificial Intelligence 66, no. 1-4 (September 25, 2012): 257–71. http://dx.doi.org/10.1007/s10472-012-9320-z.

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Andrews, James H. "An untyped higher order logic with Y combinator." Journal of Symbolic Logic 72, no. 4 (December 2007): 1385–404. http://dx.doi.org/10.2178/jsl/1203350794.

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AbstractWe define a higher order logic which has only a notion of sort rather than a notion of type, and which permits all terms of the untyped lambda calculus and allows the use of the Y combinator in writing recursive predicates. The consistency of the logic is maintained by a distinction between use and mention, as in Gilmore's logics. We give a consistent model theory, a proof system which is sound with respect to the model theory, and a cut-elimination proof for the proof system. We also give examples showing what formulas can and cannot be used in the logic.
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Sági, Gábor. "A completeness theorem for higher order logics." Journal of Symbolic Logic 65, no. 2 (June 2000): 857–84. http://dx.doi.org/10.2307/2586575.

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AbstractHere we investigate the classes of representable directed cylindric algebras of dimension α introduced by Németi [12]. can be seen in two different ways: first, as an algebraic counterpart of higher order logics and second, as a cylindric algebraic analogue of Quasi-Projective Relation Algebras. We will give a new, “purely cylindric algebraic” proof for the following theorems of Németi: (i) is a finitely axiomatizable variety whenever α ≥ 3 is finite and (ii) one can obtain a strong representation theorem for if one chooses an appropriate (non-well-founded) set theory as foundation of
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Tesi sul tema "Higher order logics"

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Assaf, Ali. "A framework for defining computational higher-order logics." Palaiseau, Ecole polytechnique, 2015. https://theses.hal.science/tel-01235303v4/document.

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The main aim of this thesis is to make formal proofs more universal by expressing them in a common logical framework. More specifically, we use the lambda-Pi-calculus modulo rewriting, a lambda calculus equipped with dependent types and term rewriting, as a language for defining logics and expressing proofs in those logics. By representing propositions as types and proofs as programs in this language, we design translations of various systems in a way that is efficient and that preserves their meaning. These translations can then be used for independent proof checking and proof interoperabilit
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Freire, Cibele Matos. "Complexidade descritiva das lÃgicas de ordem superior com menor ponto fixo e anÃlise de expressividade de algumas lÃgicas modais." Universidade Federal do CearÃ, 2010. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=6359.

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Em Complexidade Descritiva investigamos o uso de logicas para caracterizar classes problemas pelo vies da complexidade. Desde 1974, quando Fagin provou que NP e capturado pela logica existencial de segunda-ordem, considerado o primeiro resultado da area, outras relac~oes entre logicas e classes de complexidade foram estabelecidas. Os resultados mais conhecidos normalmemte envolvem logica de primeira-ordem e suas extens~oes, e classes de complexidade polinomiais em tempo ou espaco. Alguns exemplos sÃo que a logica de primeira-ordem estendida com o operador de menor ponto xo captura a clsse P e
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TEICA, ELENA. "FORMAL CORRECTNESS AND COMPLETENESS FOR A SET OF UNINTERPRETED RTL TRANSFORMATIONS." University of Cincinnati / OhioLINK, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1001432470.

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Freire, Cibele Matos. "Complexidade descritiva das lógicas de ordem superior com menor ponto fixo e análise de expressividade de algumas lógicas modais." reponame:Repositório Institucional da UFC, 2010. http://www.repositorio.ufc.br/handle/riufc/17668.

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Submitted by guaracy araujo (guaraa3355@gmail.com) on 2016-06-14T19:46:59Z No. of bitstreams: 1 2010_dis_cmfreire.pdf: 426798 bytes, checksum: 4ad13c09839833ee22b0396a445e8a26 (MD5)<br>Approved for entry into archive by guaracy araujo (guaraa3355@gmail.com) on 2016-06-14T19:48:16Z (GMT) No. of bitstreams: 1 2010_dis_cmfreire.pdf: 426798 bytes, checksum: 4ad13c09839833ee22b0396a445e8a26 (MD5)<br>Made available in DSpace on 2016-06-14T19:48:16Z (GMT). No. of bitstreams: 1 2010_dis_cmfreire.pdf: 426798 bytes, checksum: 4ad13c09839833ee22b0396a445e8a26 (MD5) Previous issue date: 2010<br>In Descr
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Krishnaswami, Neelakantan R. "Verifying Higher-Order Imperative Programs with Higher-Order Separation Logic." Research Showcase @ CMU, 2012. http://repository.cmu.edu/dissertations/164.

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In this thesis I show is that it is possible to give modular correctness proofs of interesting higher-order imperative programs using higher-order separation logic. To do this, I develop a model higher-order imperative programming language, and develop a program logic for it. I demonstrate the power of my program logic by verifying a series of examples. This includes both realistic patterns of higher-order imperative programming such as the subject-observer pattern, as well as examples demonstrating the use of higher-order logic to reason modularly about highly aliased data structures such as
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Zardini, Elia. "Living on the slippery slope : the nature, sources and logic of vagueness." Thesis, St Andrews, 2008. http://hdl.handle.net/10023/508.

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Nesi, Monica. "Formalising process calculi in higher order logic." Thesis, University of Cambridge, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.627495.

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Camilleri, Albert John. "Executing behavioural definitions in Higher Order Logic." Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.232795.

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Over the past few years, computer scientists have been using formal verification techniques to show the correctness of digital systems. The verification process, however, is complicated and expensive. Even proofs of simple circuits can involve thousands of logical steps. Often it can be extremely difficult to find correct device specifications and it is desirable that one sets off to prove a correct specification from the start, rather than repeatedly backtrack from the verification process to modify the original definitions after discovering they were incorrect or inaccurate. The main idea pr
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Sultana, Nikolai. "Higher-order proof translation." Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/247345.

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The case for interfacing logic tools together has been made countless times in the literature, but it is still an important research question. There are various logics and respective tools for carrying out formal developments, but practitioners still lament the difficulty of reliably exchanging mathematical data between tools. Writing proof-translation tools is hard. The problem has both a theoretical side (to ensure that the translation is adequate) and a practical side (to ensure that the translation is feasible and usable). Moreover, the source and target proof formats might be less documen
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Fritz, Peter. "Intensional type theory for higher-order contingentism." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:b9415266-ad21-494a-9a78-17d2395eb8dd.

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Things could have been different, but could it also have been different what things there are? It is natural to think so, since I could have failed to be born, and it is natural to think that I would then not have been anything. But what about entities like propositions, properties and relations? Had I not been anything, would there have been the property of being me? In this thesis, I formally develop and assess views according to which it is both contingent what individuals there are and contingent what propositions, properties and relations there are. I end up rejecting these views, and con
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Libri sul tema "Higher order logics"

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Paulson, Lawrence C. The representation of logics in higher-order logic. Cambridge: University of Cambridge, Computer Laboratory, 1987.

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Carreño, Victor A., César A. Muñoz, and Sofiène Tahar, eds. Theorem Proving in Higher Order Logics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45685-6.

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Slind, Konrad, Annette Bunker, and Ganesh Gopalakrishnan, eds. Theorem Proving in Higher Order Logics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/b100400.

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Mohamed, Otmane Ait, César Muñoz, and Sofiène Tahar, eds. Theorem Proving in Higher Order Logics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-71067-7.

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Basin, David, and Burkhart Wolff, eds. Theorem Proving in Higher Order Logics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/b11935.

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Bertot, Yves, Gilles Dowek, Laurent Théry, André Hirschowitz, and Christine Paulin, eds. Theorem Proving in Higher Order Logics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48256-3.

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Schneider, Klaus, and Jens Brandt, eds. Theorem Proving in Higher Order Logics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-74591-4.

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Grundy, Jim, and Malcolm Newey, eds. Theorem Proving in Higher Order Logics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0055125.

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Goos, Gerhard, Juris Hartmanis, Jan van Leeuwen, Joakim von Wright, Jim Grundy, and John Harrison, eds. Theorem Proving in Higher Order Logics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0105392.

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Berghofer, Stefan, Tobias Nipkow, Christian Urban, and Makarius Wenzel, eds. Theorem Proving in Higher Order Logics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03359-9.

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Capitoli di libri sul tema "Higher order logics"

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Kropf, Thomas. "Higher-Order Logics." In Introduction to Formal Hardware Verification, 207–54. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03809-3_5.

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Lu, Jianguo, Masateru Harao, and Masami Hagiya. "Higher Order Generalization." In Logics in Artificial Intelligence, 368–81. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/3-540-49545-2_25.

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Charalambidis, Angelos, Konstantinos Handjopoulos, Panos Rondogiannis, and William W. Wadge. "Extensional Higher-Order Logic Programming." In Logics in Artificial Intelligence, 91–103. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15675-5_10.

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Gordon, Michael J. C. "Mechanizing Programming Logics in Higher Order Logic." In Current Trends in Hardware Verification and Automated Theorem Proving, 387–439. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3658-0_10.

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Lescanne, Pierre. "Common Knowledge Logic in a Higher Order Proof Assistant." In Programming Logics, 271–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37651-1_11.

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Hella, Lauri, and José María Turull-Torres. "Complete Problems for Higher Order Logics." In Computer Science Logic, 380–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11874683_25.

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Turull-Torres, José Maria. "Relational Complexity and Higher Order Logics." In Lecture Notes in Computer Science, 311–33. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30024-5_17.

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Hintikka, Jaakko. "Standard vs. Nonstandard Logic: Higher-Order, Modal, and First-Order Logics." In Language, Truth and Logic in Mathematics, 130–43. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2045-8_7.

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Hintermeier, Claus, Hélène Kirchner, and Peter D. Mosses. "R n - and G n -logics." In Higher-Order Algebra, Logic, and Term Rewriting, 90–108. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/3-540-61254-8_21.

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Benzmüller, Christoph, and Bruno Woltzenlogel Paleo. "Higher-Order Modal Logics: Automation and Applications." In Reasoning Web. Web Logic Rules, 32–74. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21768-0_2.

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Atti di convegni sul tema "Higher order logics"

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Crary, Karl. "Higher-order representation of substructural logics." In the 15th ACM SIGPLAN international conference. New York, New York, USA: ACM Press, 2010. http://dx.doi.org/10.1145/1863543.1863565.

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Maruyama, Yoshihiro. "Higher-Order Fuzzy Logics and their Categorical Semantics: Higher-Order Linear Completeness and Baaz Translation via Substructural Tripos Theory." In 2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2021. http://dx.doi.org/10.1109/fuzz45933.2021.9494453.

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Benzmüller, Christoph. "A (Simplified) Supreme Being Necessarily Exists, says the Computer: Computationally Explored Variants of Gödel's Ontological Argument." In 17th International Conference on Principles of Knowledge Representation and Reasoning {KR-2020}. California: International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/kr.2020/80.

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An approach to universal (meta-)logical reasoning in classical higher-order logic is employed to explore and study simplifications of Kurt Gödel's modal ontological argument. Some argument premises are modified, others are dropped, modal collapse is avoided and validity is shown already in weak modal logics K and T. Key to the gained simplifications of Gödel's original theory is the exploitation of a link to the notions of filter and ultrafilter in topology. The paper illustrates how modern knowledge representation and reasoning technology for quantified non-classical logics can contribute new
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Rose, Judy, and Samantha Low-Choy. "Modern Pedagogical Approaches to Teaching Mixed Methods to Social Science Researchers." In Fifth International Conference on Higher Education Advances. Valencia: Universitat Politècnica València, 2019. http://dx.doi.org/10.4995/head19.2019.9509.

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Mixed methods research is burgeoning across the social sciences. Yet there is a need to implement more modern approaches to teaching it in higher education. The aim of this work is to outline pedagogy and preliminary evaluation of new mixed methods workshops designed and implemented in an Australian university. A specific feature of these workshops included unpacking the ontological, epistemological and axiological understandings of various methods and the paradigms or worldviews that underpin each approach. This overview of the processes of scientific inquiry that permits mixing-in within and
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Liu, Qiang, and Yongmei Liu. "Multi-agent Epistemic Planning with Common Knowledge." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. California: International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/264.

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In the past decade, multi-agent epistemic planning has received much attention from both dynamic logic and planning communities. Common knowledge is an essential part of multi-agent modal logics, and plays an important role in coordination and interaction of multiple agents. However, existing implementations of multi-agent epistemic planning provide very limited support for common knowledge, basically static propositional common knowledge. Our work aims to extend an existing multi-agent epistemic planning framework based on higher-order belief change with the capability to deal with common kno
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Schwering, Christoph. "A Reasoning System for a First-Order Logic of Limited Belief." In Twenty-Sixth International Joint Conference on Artificial Intelligence. California: International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/173.

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Logics of limited belief aim at enabling computationally feasible reasoning in highly expressive representation languages. These languages are often dialects of first-order logic with a weaker form of logical entailment that keeps reasoning decidable or even tractable. While a number of such logics have been proposed in the past, they tend to remain for theoretical analysis only and their practical relevance is very limited. In this paper, we aim to go beyond the theory. Building on earlier work by Liu, Lakemeyer, and Levesque, we develop a logic of limited belief that is highly expressive but
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Charalambidis, Angelos, Panos Rondogiannis, and Antonis Troumpoukis. "Higher-order logic programming." In PPDP '16: 18th International Symposium on Principles and Practice of Declarative Programming. New York, NY, USA: ACM, 2016. http://dx.doi.org/10.1145/2967973.2968607.

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Howe, Douglas J. "Higher-order abstract syntax in classical higher-order logic." In the Fourth International Workshop. New York, New York, USA: ACM Press, 2009. http://dx.doi.org/10.1145/1577824.1577826.

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Li, Linna, and Wei Zhang. "Higher-Order Logic Recommender System." In 2008 IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology. IEEE, 2008. http://dx.doi.org/10.1109/wiiat.2008.196.

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Qian, Zhenyu. "Higher-order equational logic programming." In the 21st ACM SIGPLAN-SIGACT symposium. New York, New York, USA: ACM Press, 1994. http://dx.doi.org/10.1145/174675.177889.

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Rapporti di organizzazioni sul tema "Higher order logics"

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Archer, Myla M., Ben L. DiVito, and Cesar Munoz. Proceedings STRATA 2003. First International Workshop on Design and Application of Strategies/Tactics in Higher Order Logics; Focus on PVS Experiences. Fort Belvoir, VA: Defense Technical Information Center, November 2003. http://dx.doi.org/10.21236/ada418902.

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Jindal, A., R. Overbeek, and W. McCune. A parallel processing approach for implementing high-performance first-order logic deduction systems. Office of Scientific and Technical Information (OSTI), April 1989. http://dx.doi.org/10.2172/6215473.

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