Search results for 'tableau method' (try it on Scholar)

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  1.  8
    Diderik Batens & Joke Meheus (2001). Shortcuts and Dynamic Marking in the Tableau Method for Adaptive Logics. Studia Logica 69 (2):221-248.
    Adaptive logics typically pertain to reasoning procedures for which there is no positive test. In [7], we presented a tableau method for two inconsistency-adaptive logics. In the present paper, we describe these methods and present several ways to increase their efficiency. This culminates in a dynamic marking procedure that indicates which branches have to be extended first, and thus guides one towards a decision — the conclusion follows or does not follow — in a very economical way.
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  2.  38
    Giambattista Amati & Fiora Pirri (1994). A Uniform Tableau Method for Intuitionistic Modal Logics I. Studia Logica 53 (1):29 - 60.
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  3. Pierre Wolper (1985). The Tableau Method for Temporal Logic: An Overview. Logique Et Analyse 28 (110-111):119-136.
     
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  4.  12
    Mitsunori Kobayashi & Arata Ishimoto (1982). A Propositional Fragment of Leśniewski's Ontology and its Formulation by the Tableau Method. Studia Logica 41 (2-3):181 - 195.
    The propositional fragment L 1 of Leniewski's ontology is the smallest class (of formulas) containing besides all the instances of tautology the formulas of the forms: (a, b) (a, a), (a, b) (b,). (a, c) and (a, b) (b, c). (b, a) being closed under detachment. The purpose of this paper is to furnish another more constructive proof than that given earlier by one of us for: Theorem A is provable in L 1 iff TA is a thesis of first-order (...)
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  5.  18
    Ani Nenkova (2002). A Tableau Method for Graded Intersections of Modalities: A Case for Concept Languages. [REVIEW] Journal of Logic, Language and Information 11 (1):67-77.
    A concept language with role intersection and number restriction is defined and its modal equivalent is provided. The main reasoning tasks of satisfiability and subsumption checking are formulated in terms of modal logic and an algorithm for their solution is provided. An axiomatization for a restricted graded modal language with intersection of modalities (the modal counterpart of the concept language we examine)is given and used in the proposed algorithm.
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  6.  10
    J. J. F. Nieland (1966). Beth's Tableau-Method. Synthese 16 (1):7 - 26.
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  7.  2
    Abir Nour (2002). The Tableau Method for a Logical System Based on a Finite Poset. Journal of Applied Non-Classical Logics 12 (1):43-62.
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  8. L. Farinas del Cerro (forthcoming). L. Farinas and E. ORLOWSKA, Preface 115 P. WOLPER, The Tableau Method for Temporal Logic: An Over-View 119 M. MICHEL, Computation of Temporal Operators 137. [REVIEW] Logique Et Analyse.
     
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  9.  5
    Michael Wooldridge, Clare Dixon & Michael Fisher (1998). A Tableau-Based Proof Method for Temporal Logics of Knowledge and Belief. Journal of Applied Non-Classical Logics 8 (3):225-258.
    ABSTRACT In this paper we define two logics, KLn and BLn, and present tableau-based decision procedures for both. KLn is a temporal logic of knowledge. Thus, in addition to the usual connectives of linear discrete temporal logic, it contains a set of unary modal connectives for representing the knowledge possessed by agents. The logic BLn is somewhat similar; it is a temporal logic that contains connectives for representing the beliefs of agents. In addition to a complete formal definition of (...)
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  10.  7
    Melvin Fitting (1971). A Tableau Proof Method Admitting the Empty Domain. Notre Dame Journal of Formal Logic 12 (2):219-224.
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  11.  21
    Carlos Caleiro, Luca Viganò & Marco Volpe (2013). On the Mosaic Method for Many-Dimensional Modal Logics: A Case Study Combining Tense and Modal Operators. [REVIEW] Logica Universalis 7 (1):33-69.
    We present an extension of the mosaic method aimed at capturing many-dimensional modal logics. As a proof-of-concept, we define the method for logics arising from the combination of linear tense operators with an “orthogonal” S5-like modality. We show that the existence of a model for a given set of formulas is equivalent to the existence of a suitable set of partial models, called mosaics, and apply the technique not only in obtaining a proof of decidability and a proof (...)
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  12. Susanne Bobzien (1996). Stoic Syllogistic. Oxford Studies in Ancient Philosophy 14:133-92.
    ABSTRACT: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental rules which (...)
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  13.  71
    Jaakko Hintikka (2011). Method of Analysis: A Paradigm of Mathematical Reasoning? History and Philosophy of Logic 33 (1):49 - 67.
    The ancient Greek method of analysis has a rational reconstruction in the form of the tableau method of logical proof. This reconstruction shows that the format of analysis was largely determined by the requirement that proofs could be formulated by reference to geometrical figures. In problematic analysis, it has to be assumed not only that the theorem to be proved is true, but also that it is known. This means using epistemic logic, where instantiations of variables are (...)
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  14.  22
    Martin Amerbauer (1996). Cut-Free Tableau Calculi for Some Propositional Normal Modal Logics. Studia Logica 57 (2-3):359 - 372.
    We give sound and complete tableau and sequent calculi for the prepositional normal modal logics S4.04, K4B and G 0(these logics are the smallest normal modal logics containing K and the schemata A A, A A and A ( A); A A and AA; A A and ((A A) A) A resp.) with the following properties: the calculi for S4.04 and G 0are cut-free and have the interpolation property, the calculus for K4B contains a restricted version of the cut-rule, (...)
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  15.  19
    Arthur Buchsbaum & Tarcisio Pequeno (1993). A Reasoning Method for a Paraconsistent Logic. Studia Logica 52 (2):281 - 289.
    A proof method for automation of reasoning in a paraconsistent logic, the calculus C1* of da Costa, is presented. The method is analytical, using a specially designed tableau system. Actually two tableau systems were created. A first one, with a small number of rules in order to be mathematically convenient, is used to prove the soundness and the completeness of the method. The other one, which is equivalent to the former, is a system of derived (...)
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  16.  8
    Riccardo Rosati (2001). A Sound and Complete Tableau Calculus for Reasoning About Only Knowing and Knowing at Most. Studia Logica 69 (1):171-191.
    We define a tableau calculus for the logic of only knowing and knowing at most ON, which is an extension of Levesque's logic of only knowing O. The method is based on the possible-world semantics of the logic ON, and can be considered as an extension of known tableau calculi for modal logic K45. From the technical viewpoint, the main features of such an extension are the explicit representation of "unreachable" worlds in the tableau, and an (...)
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  17.  4
    Tomasz Jarmużek (2007). Construction of Tableaux for Classical Logic: Tableaux as Combinations of Branches, Branches as Chains of Sets. Logic and Logical Philosophy 16 (1):85-101.
    The paper is devoted to an approach to analytic tableaux for propositional logic, but can be successfully extended to other logics. The distinguishing features of the presented approach are:(i) a precise set-theoretical description of tableau method; (ii) a notion of tableau consequence relation is defined without help of a notion of tableau, in our universe of discourse the basic notion is a branch;(iii) we define a tableau as a finite set of some chosen branches which (...)
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  18.  24
    Nicola Olivetti (2003). Tableaux for Łukasiewicz Infinite-Valued Logic. Studia Logica 73 (1):81 - 111.
    In this work we propose a labelled tableau method for ukasiewicz infinite-valued logic L . The method is based on the Kripke semantics of this logic developed by Urquhart [25] and Scott [24]. On the one hand, our method falls under the general paradigm of labelled deduction [8] and it is rather close to the tableau systems for sub-structural logics proposed in [4]. On the other hand, it provides a CoNP decision procedure for L validity (...)
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  19.  72
    Michael Kohlhase, Higher-Order Automated Theorem Proving.
    The history of building automated theorem provers for higher-order logic is almost as old as the field of deduction systems itself. The first successful attempts to mechanize and implement higher-order logic were those of Huet [13] and Jensen and Pietrzykowski [17]. They combine the resolution principle for higher-order logic (first studied in [1]) with higher-order unification. The unification problem in typed λ-calculi is much more complex than that for first-order terms, since it has to take the theory of αβη-equality into (...)
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  20.  6
    P. I. Bystrov (1988). Tableaux Variants of Some Modal and Relevant Systems. Bulletin of the Section of Logic 17 (3/4):92-98.
    The tableaux-constructions have a number of properties which advantageously distinguish them from equivalent axiomatic systems . The proofs in the form of tableaux-constructions have a full accordance with semantic interpretation and subformula property in the sense of Gentzen’s Hauptsatz. Method of tatleaux-construction gives a good substitute of Gentzen’s methods and thus opens a good perspective for the investigations of theoretical as well as applied aspects of logical calculi. It should be noted that application of tableau method in (...)
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  21.  6
    André Vellino (1993). The Relative Complexity of Analytic Tableaux and SL-Resolution. Studia Logica 52 (2):323 - 337.
    In this paper we describe an improvement of Smullyan's analytic tableau method for the propositional calculus-Improved Parent Clash Restricted (IPCR) tableau-and show that it is equivalent to SL-resolution in complexity.
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  22.  9
    André Nijhof, Stephan Cludts, Olaf Fisscher & Albertus Laan (2003). Measuring the Implementation of Codes of Conduct. An Assessment Method Based on a Process Approach of the Responsible Organisation. Journal of Business Ethics 45 (1-2):65 - 78.
    More and more organisations formulate a code of conduct in order to stimulate responsible behaviour among their members. Much time and energy is usually spent fixing the content of the code but many organisations get stuck in the challenge of implementing and maintaining the code. The code then turns into nothing else than the notorious "paper in the drawer", without achieving its aims. The challenge of implementation is to utilize the dynamics which have emerged from the formulation of (...)
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  23.  56
    Hans-Georg Gadamer (2004/1982). Truth and Method. Continuum.
    Written in the 1960s, TRUTH AND METHOD is Gadamer's magnum opus.
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  24. Moti Mizrahi (2014). Does the Method of Cases Rest on a Mistake? Review of Philosophy and Psychology 5 (2):183-197.
    In this paper, I argue that the method of cases (namely, the method of using intuitive judgments elicited by intuition pumps as evidence for and/or against philosophical theories) is not a reliable method of generating evidence for and/or against philosophical theories. In other words, the method of cases is unlikely to generate accurate judgments more often than not. This is so because, if perception and intuition are analogous in epistemically relevant respects, then using intuition pumps to (...)
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  25.  87
    Joeri Witteveen (2015). Naming and Contingency: The Type Method of Biological Taxonomy. Biology and Philosophy 30 (4):569-586.
    Biological taxonomists rely on the so-called ‘type method’ to regulate taxonomic nomenclature. For each newfound taxon, they lay down a ‘type specimen’ that carries with it the name of the taxon it belongs to. Even if a taxon’s circumscription is unknown and/or subject to change, it remains a necessary truth that the taxon’s type specimen falls within its boundaries. Philosophers have noted some time ago that this naming practice is in line with the causal theory of reference and its (...)
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  26. Claire Petitmengin (2006). Describing One's Subjective Experience in the Second Person: An Interview Method for the Science of Consciousness. [REVIEW] Phenomenology and the Cognitive Sciences 5 (3-4):229-269.
    This article presents an interview method which enables us to bring a person, who may not even have been trained, to become aware of his or her subjective experience, and describe it with great precision. It is focused on the difficulties of becoming aware of one’s subjective experience and describing it, and on the processes used by this interview technique to overcome each of these difficulties. The article ends with a discussion of the criteria governing the validity (...)
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  27. Peter Allmark (2006). An Argument for the Use of Aristotelian Method in Bioethics. Medicine, Health Care and Philosophy 9 (1):69-79.
    The main claim of this paper is that the method outlined and used in Aristotle’s Ethics is an appropriate and credible one to use in bioethics. Here “appropriate” means that the method is capable of establishing claims and developing concepts in bioethics and “credible” that the method has some plausibility, it is not open to obvious and immediate objection. It begins by suggesting why this claim matters and then gives a brief outline of Aristotle’s method. The (...)
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  28.  7
    Brian Hepburn & Hanne Andersen (2015). Scientific Method. Stanford Encyclopedia of Philosophy.
    1. Overview and organizing themes 2. Historical Review: Aristotle to Mill 3. Logic of method and critical responses 3.1 Logical constructionism and Operationalism 3.2. H-D as a logic of confirmation 3.3. Popper and falsificationism 3.4 Meta-methodology and the end of method 4. Statistical methods for hypothesis testing 5. Method in Practice 5.1 Creative and exploratory practices 5.2 Computer methods and the ‘third way’ of doing science 6. Discourse on scientific method 6.1 “The scientific method (...)
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  29. Melissa McBay Merritt (2006). Science and the Synthetic Method of the Critique of Pure Reason. Review of Metaphysics 59 (3):517-539.
    Kant maintains that his Critique of Pure Reason follows a “synthetic method” which he distinguishes from the analytic method of the Prolegomena by saying that the Critique “rests on no other science” and “takes nothing as given except reason itself”. The paper presents an account of the synthetic method of the Critique, showing how it is related to Kant’s conception of the Critique as the “science of an a priori judging reason”. Moreover, the author suggests, understanding its (...)
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  30. Jaakko Hintikka (2011). What is the Axiomatic Method? Synthese 183 (1):69-85.
    The modern notion of the axiomatic method developed as a part of the conceptualization of mathematics starting in the nineteenth century. The basic idea of the method is the capture of a class of structures as the models of an axiomatic system. The mathematical study of such classes of structures is not exhausted by the derivation of theorems from the axioms but includes normally the metatheory of the axiom system. This conception of axiomatization satisfies the crucial requirement that (...)
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  31. Nikolay Milkov (2012). Wittgenstein’s Method: The Third Phase of Its Development (1933–36). In Marques Antonio (ed.), Knowledge, Language and Mind: Wittgenstein’s Early Investigations. De Gruyter
    Wittgenstein’s interpreters are undivided that the method plays a central role in his philosophy. This would be no surprise if we have in mind the Tractarian dictum: “philosophy is not a body of doctrine but an activity” (4.112). After 1929, Wittgenstein’s method evolved further. In its final form, articulated in Philosophical Investigations, it was formulated as different kinds of therapies of specific philosophical problems that torment our life (§§ 133, 255, 593). In this paper we follow the changes (...)
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  32.  32
    Havi Hannah Carel (2013). Illness, Phenomenology, and Philosophical Method. Theoretical Medicine and Bioethics 34 (4):345-357.
    In this article, I propose that illness is philosophically revealing and can be used to explore human experience. I suggest that illness is a limit case of embodied experience. By pushing embodied experience to its limit, illness sheds light on normal experience, revealing its ordinary and thus overlooked structure. Illness produces a distancing effect, which allows us to observe normal human behavior and cognition via their pathological counterpart. I suggest that these characteristics warrant illness a (...)
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  33.  10
    Reshef Agam-Segal (2015). Aspect-Perception as a Philosophical Method. Nordic Wittgenstein Review 4 (1):93-121.
    Inducing aspect-experiences – the sudden seeing of something anew, as when a face suddenly strikes us as familiar – can be used as a philosophical method. In seeing aspects, I argue, we let ourselves experience what it would be like to conceptualize something in a particular way, apart from any conceptual routine. We can use that experience to examine our ways of conceptualizing things, and re-evaluate the ways we make sense of them. I claim that we are not always (...)
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  34. Amedeo Giorgi (2008). Concerning a Serious Misunderstanding of the Essence of the Phenomenological Method in Psychology. Journal of Phenomenological Psychology 39 (1):33-58.
    In an earlier article, Edwards tried to establish that the Duquesne Phenomenological Research Method was simply a particular type of Case Study research method and he also reproached users of the DPRM for not developing theory. This article rebuts both of Edwards's theses. DPRM is radically different from CSRM in logic and in execution and the article demonstrates that the development of theory is not at all the intent of DPRM. The basic difficulty is that Edwards attempts to (...)
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  35. Simon Beck (2010). Morals, Metaphysics and the Method of Cases. South African Journal of Philosophy 29 (4):332-342.
    In this paper I discuss a set of problems concerning the method of cases as it is used in applied ethics and in the metaphysical debate about personal identity. These problems stem from research in social psychology concerning our access to the data with which the method operates. I argue that the issues facing ethics are more worrying than those facing metaphysics.
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  36. Rajeev Gore, Cut-Free Single-Pass Tableaux for the Logic of Common Knowledge.
    We present a cut-free tableau calculus with histories and variables for the EXPTIME-complete multi-modal logic of common knowledge. Our calculus constructs the tableau using only one pass, so proof-search for testing theoremhood of ϕ does not exhibit the worst-case EXPTIME-behaviour for all ϕ as in two-pass methods. Our calculus also does not contain a “finitized ω-rule” so that it detects cyclic branches as soon as they arise rather than by worst-case exponential branching with respect to the size of (...)
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  37.  3
    Kevin Patrick Tobia (2015). Philosophical Method and Intuitions as Assumptions. Metaphilosophy 46 (4-5):575-594.
    Many philosophers claim to employ intuitions in their philosophical arguments. Others contest that no such intuitions are used frequently or at all in philosophy. This article suggests and defends a conception of intuitions as part of the philosophical method: intuitions are special types of philosophical assumptions to which we are invited to assent, often as premises in argument, that may serve an independent function in philosophical argument and that are not formed through a purely inferential process. A series of (...)
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  38.  61
    James Scott Johnston (2002). John Dewey and the Role of Scientific Method in Aesthetic Experience. Studies in Philosophy and Education 21 (1):1-15.
    In this paper I examine a controversy ongoingwithin current Deweyan philosophy of educationscholarship regarding the proper role and scopeof science in Dewey's concept of inquiry. Theside I take is nuanced. It is one that issensitive to the importance that Dewey attachesto science as the best method of solvingproblems, while also sensitive to thosestatements in Dewey that counter a wholesalereductivism of inquiry to scientific method. Iutilize Dewey's statements regarding the placeaccorded to inquiry in aesthetic experiences ascharacteristic of his (...), as bestconceived. (shrink)
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  39.  57
    Dale Jacquette (2011). Enhancing the Diagramming Method in Informal Logic. ARGUMENT 1 (2):327-360.
    The argument diagramming method developed by Monroe C. Beardsley in his (1950) book Practical Logic, which has since become the gold standard for diagramming arguments in informal logic, makes it possible to map the relation between premises and conclusions of a chain of reasoning in relatively complex ways. The method has since been adapted and developed in a number of directions by many contemporary informal logicians and argumentation theorists. It has proved useful in practical applications and especially pedagogically (...)
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  40.  92
    John T. Sanders, Dynamical Systems and Scientific Method.
    Progress in the last few decades in what is widely known as “Chaos Theory” has plainly advanced understanding in the several sciences it has been applied to. But the manner in which such progress has been achieved raises important questions about scientific method and, indeed, about the very objectives and character of science. In this presentation, I hope to engage my audience in a discussion of several of these important new topics.
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  41.  13
    Mark Kaminski & Gert Smolka (2009). Terminating Tableau Systems for Hybrid Logic with Difference and Converse. Journal of Logic, Language and Information 18 (4):437-464.
    This paper contributes to the principled construction of tableau-based decision procedures for hybrid logic with global, difference, and converse modalities. We also consider reflexive and transitive relations. For converse-free formulas we present a terminating control that does not rely on the usual chain-based blocking scheme. Our tableau systems are based on a new model existence theorem.
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  42.  42
    Sami Pihlström & Arto Siitonen (2005). The Transcendental Method and (Post-)Empiricist Philosophy of Science. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 36 (1):81 - 106.
    This paper reconsiders the relation between Kantian transcendental reflection (including transcendental idealism) and 20th century philosophy of science. As has been pointed out by Michael Friedman and others, the notion of a "relativized a priori" played a central role in Rudolf Carnap's, Hans Reichenbach's and other logical empiricists' thought. Thus, even though the logical empiricists dispensed with Kantian synthetic a priori judgments, they did maintain a crucial Kantian doctrine, viz., a distinction between the (transcendental) level of establishing norms for empirical (...)
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  43.  4
    Niall Hegarty & John Angelidis (2015). The Impact of Academic Service Learning as a Teaching Method and its Effect on Emotional Intelligence. Journal of Academic Ethics 13 (4):363-374.
    This article explores Academic Service Learning as a teaching method which bridges the gap between academic requirements for learning and the need of society to have individuals willing to give their time and effort to benefit others in need. Students as part of a course learning requirement engaged in a consulting project whereby a non-profit organization was advised on both short term and long term planning. Students were exposed to the operational needs of the organization as well (...)
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  44.  12
    Damien Janos (2010). Al-Fārābī on the Method of Astronomy. Early Science and Medicine 15 (3):237-265.
    This article analyzes al-Fārābī's conception of the astronomical method by examining rarely studied texts such as the K. al-mūsīqā and K. al-burhān and by addressing key issues such as the subject matter of astronomy, the techniques used to derive the first principles of this science, the relation between astrology, astronomy, physics, and metaphysics, and the place of al-Fārābī in the Arabic astronomical tradition. The analysis indicates that al-Fārābī's theories combine material from the Greek astronomical tradition, especially Geminus, as well (...)
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  45.  34
    Kai Wehmeier (2009). On Ramsey's 'Silly Delusion' Regarding Tractatus 5.53. In Giuseppe Primiero & Shahid Rahman (eds.), Acts of Knowledge - History, Philosophy and Logic. College Publications
    We investigate a variant of the variable convention proposed at Tractatus 5.53ff for the purpose of eliminating the identity sign from logical notation. The variant in question is what Hintikka has called the strongly exclusive interpretation of the variables, and turns out to be what Ramsey initially (and erroneously) took to be Wittgenstein's intended method. We provide a tableau calculus for this identity-free logic, together with soundness and completeness proofs, as well as a proof of mutual interpretability with (...)
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  46. Joanna Golińska-Pilarek, Emilio Muñoz-Velasco & Angel Mora-Bonilla (2012). Relational Dual Tableau Decision Procedure for Modal Logic K. Logic Journal of the IGPL 20 (4):747-756.
    We present a dual tableau system, RLK, which is itself a deterministic decision procedure verifying validity of K-formulas. The system is constructed in the framework of the original methodology of relational proof systems, determined only by axioms and inference rules, without any external techniques. Furthermore, we describe an implementation of the system in Prolog, and we show some of its advantages.
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  47.  18
    Marcello D'Agostino (1992). Are Tableaux an Improvement on Truth-Tables? Journal of Logic, Language and Information 1 (3):235-252.
    We show that Smullyan's analytic tableaux cannot p-simulate the truth-tables. We identify the cause of this computational breakdown and relate it to an underlying semantic difficulty which is common to the whole tradition originating in Gentzen's sequent calculus, namely the dissonance between cut-free proofs and the Principle of Bivalence. Finally we discuss some ways in which this principle can be built into a tableau-like method without affecting its analytic nature.
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  48.  20
    Tomás Barrero & Walter Carnielli (2005). Tableaux sin refutación. Matemáticas: Enseñanza Universitaria 13 (2):81-99.
    Motivated by H. Curry’s well-known objection and by a proposal of L. Henkin, this article introduces the positive tableaux, a form of tableau calculus without refutation based upon the idea of implicational triviality. The completeness of the method is proven, which establishes a new decision procedure for the (classical) positive propositional logic. We also introduce the concept of paratriviality in order to contribute to the question of paradoxes and limitations imposed by the behavior of classical implication.
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  49.  65
    Gary Hatfield (2006). Review: Descartes's Method of Doubt. [REVIEW] Mind 115 (458):394-399.
    Review of _Descartes’s Method of Doubt_, by Janet Broughton. Princeton and Oxford: Princeton University Press, 2002. Pp. xv + 217. H/b £22.95, P/b £10.95. The review characterizes Broughton's book on Cartesian doubt as a work that attends to the philosophical significance of Descartes's work while taking seriously his own aims and the historical context of his arguments. The review considers her extensive examination of the method of doubt and her notion of "dependence arguments" as a way of overcoming (...)
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  50.  16
    Sara T. Scharf (2009). Identification Keys, the "Natural Method," and the Development of Plant Identification Manuals. Journal of the History of Biology 42 (1):73 - 117.
    The origins of field guides and other plant identification manuals have been poorly understood until now because little attention has been paid to 18th century botanical identification guides. Identification manuals came to have the format we continue to use today when botanical instructors in post-Revolutionary France combined identification keys (step-wise analyses focusing on distinctions between plants) with the "natural method" (clustering of similar plants, allowing for identification by gestalt) and alphabetical indexes. Botanical works featuring multiple but linked techniques to (...)
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