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Information Resources Usage in Project Management Digital Learning System

Nitza Davidovitch, Margarita Belichenko, Yurii Kravchenko
2017 Journal of Education and Learning  
The paper proposes a methodological approach that takes into account these features. The paper deals with the structuring of project management programs of academic mobility.  ...  The paper presents the analyse of the structure of scientific and methodological basis of project management systems.  ...  It allows unambiguously describe operations with fuzzy logic variables. In addition, between operations remain the same bonds that took place in precise logic.  ... 
doi:10.5539/jel.v6n2p146 fatcat:nu74pcuukzdjzpct5b3zlcm54y

Formal verification of hardware correctness: introduction and survey of current research

P. Camurati, P. Prinetto
1988 Computer  
Acknowledgments We are grateful to all those people who kindly provided us with the papers, reports, and material used throughout this article.  ...  Birtwistle of the University of Calgary, Canada, with the HOL system verified a microprocessor originally specified and verified with LCF-LSM (logic of computable functions/logic of sequential machines  ...  Formal logic Logic is that branch of knowledge concerned with truth and inference.  ... 
doi:10.1109/2.65 fatcat:dn5xh3m4gbacfffc5ogxybxbjm

Mizar Set Comprehension in Isabelle Framework

Karol Pąk
2018 Communication Papers of the 2018 Federated Conference on Computer Science and Information Systems  
We focus on Mizar set comprehension operators that allow defining sets that satisfy a given predicate. The development already covers simple cases where the arity of predicates is limited to two.  ...  We propose an infrastructure that provides a more elegant and recursive approach to construct and to provide the main property of set comprehension operators.  ...  The detail of our formalization is available at: http://alioth.uwb.edu.pl/~pakkarol/fedcsis2018/  ... 
doi:10.15439/2018f106 dblp:conf/fedcsis/Pak18a fatcat:5zikpmkskzfwjew5uwakmzynvq

Embedding time granularity in a logical specification language for synchronous real-time systems

E. Ciapessoni, E. Corsetti, A. Montanari, P. San Pietro
1993 Science of Computer Programming  
Corsetti, A. Montanari and P. San Pietro, Embedding time granularity in a logical specification language for synchronous real-time systems, Science of Computer Programming 20 (1993) 141-171.  ...  The basic logical formalism The basic logical formalism is a revised, many-sorted version of the logical specification language TRIO, a first-order logic language augmented with temporal operators and  ...  Finally, we formalized the properties of the contextual and projection operators by a sound axiomatic system.  ... 
doi:10.1016/0167-6423(93)90025-k fatcat:nkiayrtu2fczbaeppyv52ducoq

Eleventh Meeting of the Association for Symbolic Logic

1949 Journal of Symbolic Logic (JSL)  
This paper is concerned with a formalization of the system of axiomatic set theory described by Godel in The consistency of the continuum hypothesis, and with the relation to this system of a statement  ...  system for formal logic (this JOURNAL, vol. 8 (1943) , pp. 1-23).  ... 
doi:10.2307/2269014 fatcat:s3ypqzvva5cp3dmqc5qawlmsqq

An Interpretable Logical Theory: The case of Compensatory Fuzzy Logic

Rafael A. Espin-Andrade, Erick Gonzalez, Witold Pedrycz, Eduardo Fernandez
2016 International Journal of Computational Intelligence Systems  
This paper aims to formally define a concept of interpretability according to natural language of a logical theory, and show advances for demonstrating that the logic system called Compensatory Fuzzy Logic  ...  A logical theory is interpretable according to natural language if the calculus based upon the elements of this logical theory can be understood in natural language and vice versa.  ...  (See Ref. 27) A Compensatory Inference System is the combination of a Compensatory Logic and an implication operator. Let p(x) be a formula of the propositional calculus in CFL.  ... 
doi:10.1080/18756891.2016.1204111 fatcat:tyn72bmhxzhkpomhiwvwcredfm

A Pursuit of Simple Basic System

Katuzi ONO
1966 Annals of the Japan Association for Philosophy of Science  
Although we deal with propositions expressed in a form of sentence in a certain language or by a sequence of symbols in a certain formal system, we suppose behind them something essential, usually called  ...  Relying on this supposition, we talk of various expressions (in various languages or formal systems) of the same proposition.  ...  Accordingly, formal systems seem also to be divided into classes of equivalent systems, and the classes seem to be arranged in a lattice with respect to the order 'more basic'.  ... 
doi:10.4288/jafpos1956.3.6 fatcat:tg7kbrtq3rdrnavwuwxesudby4

Book announcements

1993 Discrete Applied Mathematics  
Backward mappings of the axes. Tra-Predicate Ca/culus. Predicate calculus. Problems with classical logic. Chupfer 4: Theorem Proving. Unification. Theorem proving by backward chaining.  ...  The formal design of hardware structures. Limits to the universality of formal design. On the distinction between proofs of design correctness and mathematical proofs.  ... 
doi:10.1016/0166-218x(93)90173-l fatcat:l4psazjvkjcm5ksswvubyespla

Business data processing based on algebra-logical models

О.Ю. Чередніченко, Ю.М. Гонтар, А.В. Василенко, О.М. Матвєєв
2017 Системи обробки інформації  
In the case study the reference model of business information processing on the stage of project plan elaboration is presented.  ...  Correspondence between an artifact and associated with it requirement is performed by comparator identification.  ...  This is a strong argument in favor of a formal definition to identify a logical network with its meaningful definition.  ... 
doi:10.30748/soi.2017.150.35 fatcat:fpvfwnfbpvchbf4ka5pjhuybhy

Combining Input/Output Logic and Reification for Representing Real-World Obligations [chapter]

Livio Robaldo, Llio Humphreys, Xin Sun, Loredana Cupi, Cristiana Santos, Robert Muthuri
2017 Lecture Notes in Computer Science  
The present paper represents the first step of the Pro-LeMAS project, whose main goal is the one of filling the gap between the current logical formalizations of legal text, mostly propositional, and the  ...  In this paper, we propose a new approach to formalize realworld obligations that may be found in existing legislation.  ...  Strictly speaking, I/O logic is not a single logic but a family of logics, just like modal logic is a family of logics containing systems K, KD, S4, S5, etc.  ... 
doi:10.1007/978-3-319-50953-2_16 fatcat:czmtcxykjzbihovbh333zb3pcq

The Z Notation: Whence the Cause and Whither the Course? [chapter]

Jonathan P. Bowen
2016 Lecture Notes in Computer Science  
The Z notation for the formal specification of computer-based systems has been in existence since the early 1980s.  ...  This chapter traces the history of the Z notation and presents issues in teaching Z, with examples. A specific example of an industrial course is presented.  ...  B.4 Logic As well as sets in Z, first order predicate logic is also used as the main form of detailed specification, with standard logical operators on predicates.  ... 
doi:10.1007/978-3-319-29628-9_3 fatcat:yi7igvdgarg57motmklv7g35sy

Implementation of the Composition-nominative Approach to Program Formalization in Mizar

Ievgen Ivanov, Artur Kornilowicz, Mykola Nikitchenko
2018 Computer Science Journal of Moldova  
The further aim of this work is development of a formal verification tool for software which processes and communicates with complex forms of data.  ...  In this paper we describe an ongoing work on implementation of the composition-nominative approach to program formalization in Mizar proof assistant based on the first-order logic and axiomatic set theory  ...  logical compositions of negation, conjunction, disjunction [6] on partial predicates defined in accordance with the truth tables of Kleene's strong logic of indeterminacy [16] ; together with the set  ... 
doaj:a77c69ab9a394fb7854382c6ba6b81d5 fatcat:2z3et75rkneydeps4jal2jjs4i

Metasoft primer: Towards a metalanguage for applied denotational semantics

Brian Monahan
1989 Science of Computer Programming  
The general aims of this project are summarized in the subtitle to this book: to produce an applied metalanguage notation for the formal specification of software systems.  ...  It will be interesting to see where the MetaSoft project goes in providing a more formal characterization of the language in terms of its syntax, semantics and proof theory.  ...  Instead the reader is treated to what amounts to a series of descriptive discussions on a range of topics relating to software development.  ... 
doi:10.1016/0167-6423(89)90007-5 fatcat:3w7d47ixy5djrcquc5pqzrq53i

Building the Signature of Set Theory Using the MathSem Program [article]

Andrey Luxemburg
2016 arXiv   pre-print
Mathematical knowledge consists of various mathematical theories. In this paper we consider a deductive system that derives mathematical notions, axioms and theorems.  ...  Knowledge representation is a popular research field in IT. As mathematical knowledge is most formalized, its representation is important and interesting.  ...  We have built a semantic net of notions and statements of set theory. It is interesting to understand the connections between our system and ZFC.  ... 
arXiv:1603.09488v1 fatcat:3zea3ap24vhijgufhn43yuimne

Verification of the Formal Approach to Data Fusion

Ildar R. Baimuratov, Stefan Morozov, Nataly Zhukova
2018 International Joint Conference on the Analysis of Images, Social Networks and Texts  
We verify our formal approach by formalizing specification of a data fusion system on the logical language and modeling it by means of the category theoretic model.  ...  It includes, first, a formal language based on first order predicate logic and, second, category theoretic model derived from the formal language.  ...  Logical formalization Analyzing structure of the data fusion system, we extract following elements: -Symbols: id, a, b, c; -Input collections: A(id, a, b), B(id, a, c); -Operations: M inimumunion and Dataf  ... 
dblp:conf/aist/BaimuratovMZ18 fatcat:yttd6zmx7rdr3jqfh67mdkvfyy
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