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Ewa Orlowska
Institute of Telecommunications and Information Technology
  1.  18
    Duality Via Truth: Semantic Frameworks for Lattice-Based Logics.Ewa Orlowska & Ingrid Rewitzky - 2005 - Logic Journal of the IGPL 13 (4):467-490.
    A method of defining semantics of logics based on not necessarily distributive lattices is presented. The key elements of the method are representation theorems for lattices and duality between classes of lattices and classes of some relational systems . We suggest a type of duality referred to as a duality via truth which leads to Kripke-style semantics and three-valued semantics in the style of Allwein-Dunn. We develop two new representation theorems for lattices which, together with the existing theorems by Urquhart (...)
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  2.  54
    A Discrete Duality Between Apartness Algebras and Apartness Frames.Ivo Düntsch & Ewa Orlowska - 2008 - Journal of Applied Non-Classical Logics 18 (2-3):213-227.
    Apartness spaces were introduced as a constructive counterpart to proximity spaces which, in turn, aimed to model the concept of nearness of sets in a metric or topological environment. In this paper we introduce apartness algebras and apartness frames intended to be abstract counterparts to the apartness spaces of, and we prove a discrete duality for them.
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  3.  32
    Relational Proof System for Relevant Logics.Ewa Orlowska - 1992 - Journal of Symbolic Logic 57 (4):1425-1440.
    A method is presented for constructing natural deduction-style systems for propositional relevant logics. The method consists in first translating formulas of relevant logics into ternary relations, and then defining deduction rules for a corresponding logic of ternary relations. Proof systems of that form are given for various relevant logics. A class of algebras of ternary relations is introduced that provides a relation-algebraic semantics for relevant logics.
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  4.  32
    Dual Tableaux: Foundations, Methodology, Case Studies.Ewa Orlowska & Joanna Golinska-Pilarek - 2011 - Springer.
    The book presents logical foundations of dual tableaux together with a number of their applications both to logics traditionally dealt with in mathematics and philosophy (such as modal, intuitionistic, relevant, and many-valued logics) and to various applied theories of computational logic (such as temporal reasoning, spatial reasoning, fuzzy-set-based reasoning, rough-set-based reasoning, order-of magnitude reasoning, reasoning about programs, threshold logics, logics of conditional decisions). The distinguishing feature of most of these applications is that the corresponding dual tableaux are built in a (...)
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  5.  32
    Logic For Reasoning About Knowledge.Ewa Orlowska - 1989 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 35 (6):559-572.
    One of the important issues in research on knowledge based computer systems is development of methods for reasoning about knowledge. In the present paper semantics for knowledge operators is introduced. The underlying logic is developed with epistemic operators relative to indiscernibility. Facts about knowledge expressible in the logic are discussed, in particular common knowledge and joint knowledge of n group of agents. Some paradoxes of epistemic logic are shown to be eliminated in the given system. A formal logical analysis of (...)
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  6.  44
    Relational Dual Tableaux for Interval Temporal Logics.David Bresolin, Joanna Golinska-Pilarek & Ewa Orlowska - 2006 - Journal of Applied Non-Classical Logics 16 (3-4):251–277.
    Interval temporal logics provide both an insight into a nature of time and a framework for temporal reasoning in various areas of computer science. In this paper we present sound and complete relational proof systems in the style of dual tableaux for relational logics associated with modal logics of temporal intervals and we prove that the systems enable us to verify validity and entailment of these temporal logics. We show how to incorporate in the systems various relations between intervals and/or (...)
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  7.  10
    Dual Tableau-Based Decision Procedures for Relational Logics with Restricted Composition Operator.Domenico Cantone, Marianna Nicolosi Asmundo & Ewa Orlowska - 2011 - Journal of Applied Non-Classical Logics 21 (2):177-200.
    We consider fragments of the relational logic RL obtained by posing various constraints on the relational terms involving the operator of composition of relations. These fragments allow to express several non classical logics including modal and description logics. We show how relational dual tableaux can be employed to provide decision procedures for each of them.
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  8.  11
    Dual Tableau for Monoidal Triangular Norm Logic MTL.Joanna Golinska-Pilarek & Ewa Orlowska - 2011 - Fuzzy Sets and Systems 162 (1):39–52.
    Monoidal triangular norm logic MTL is the logic of left-continuous triangular norms. In the paper we present a relational formalization of the logic MTL and then we introduce relational dual tableau that can be used for verification of validity of MTL-formulas. We prove soundness and completeness of the system.
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  9.  15
    A Hierarchy of Modal Logics with Relative Accessibility Relations.Philippe Balbiani & Ewa Orlowska - 1999 - Journal of Applied Non-Classical Logics 9 (2-3):303-328.
    ABSTRACT In this paper we introduce and investigate various classes of multimodal logics based on frames with relative accessibility relations. We discuss their applicability to representation and analysis of incomplete information. We provide axiom systems for these logics and we prove their completeness.
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  10.  13
    Dynamic Logic with Program Specifications and its Relational Proof System.Ewa Orlowska - 1993 - Journal of Applied Non-Classical Logics 3 (2):147-171.
    ABSTRACT Propositional dynamic logic with converse and test, is enriched with complement, intersection and relational operations of weakest prespecification and weakest postspecification. Relational deduction system for the logic is given based on its interpretation in the relational calculus. Relational interpretation of the operators ?repeat? and ?loop? is given.
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  11.  27
    Modal Logics in the Theory of Information Systems.Ewa Orlowska - 1984 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 30 (13-16):213-222.
  12.  25
    Equational Reasoning in Non-Classical Logics.Marcelo Frias & Ewa Orlowska - 1998 - Journal of Applied Non-Classical Logics 8 (1-2):27-66.
    ABSTRACT In this paper it is shown that a broad class of propositional logics can be interpreted in an equational logic based on fork algebras. This interpetability enables us to develop a fork-algebraic formalization of these logics and, as a consequence, to simulate non-classical means of reasoning with equational theories algebras.
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  13.  20
    Relational Proof Systems for Spatial Reasoning.Joanna Golińska-Pilarek & Ewa Orlowska - 2006 - Journal of Applied Non-Classical Logics 16 (3-4):409-431.
    We present relational proof systems for the four groups of theories of spatial reasoning: contact relation algebras, Boolean algebras with a contact relation, lattice-based spatial theories, spatial theories based on a proximity relation.
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  14.  22
    Logics of Similarity and Their Dual Tableaux. A Survey.Joanna Golińska-Pilarek & Ewa Orlowska - 2008 - In Giacomo Della Riccia, Didier Dubois & Hans-Joachim Lenz (eds.), Preferences and Similarities. Springer. pp. 129--159.
    We present several classes of logics for reasoning with information stored in information systems. The logics enable us to cope with the phenomena of incompleteness of information and uncertainty of knowledge derived from such an information. Relational inference systems for these logics are developed in the style of dual tableaux.
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  15.  10
    Obituary Zdzislaw Pawlak (1926–2006).Ewa Orlowska - 2007 - Journal of Applied Non-Classical Logics 17 (1):7-8.
  16.  10
    Obituary—Helena Rasiowa.Ewa Orlowska - 1994 - Journal of Applied Non-Classical Logics 4 (2):i-i.
  17.  5
    Foreword.Ewa Orlowska, Alberto Policriti & Andrzej Szalas - 2006 - Journal of Applied Non-Classical Logics 16 (3-4):249-250.
  18.  2
    Foreword.Ewa Orlowska - 1998 - Journal of Applied Non-Classical Logics 8 (1-2):7-8.
  19.  2
    Relational Formalization of Temporal Logics.Ewa Orlowska - 1991 - In Georg Schurz (ed.), Advances in Scientific Philosophy. pp. 24--143.
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  20. Logics in Artificial Intelligence European Workshop, Jelia '96, Évora, Portugal, September 30-October 3, 1996 : Proceedings'. [REVIEW]José Júlio Alferes, Luís Moniz Pereira & Ewa Orlowska - 1996
     
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  21. Relational Logics for Formalization of Database Dependencies.Wojciech Buszkowski & Ewa Orlowska - 1998 - Bulletin of the Section of Logic 27.
     
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  22. List of Participants 17 Robert K. Meyer (Camberra, Australia) Barbara Morawska (Gdansk, Poland) Daniele Mundici (Milan, Italy).Kazumi Nakamatsu, Marek Nasieniewski, Volodymyr Navrotskiy, Sergey Pavlovich Odintsov, Carlos Oiler, Mieczyslaw Omyla, Hiroakira Ono, Ewa Orlowska, Katarzyna Palasihska & Francesco Paoli - 2001 - Logic and Logical Philosophy 7:16.
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