Displaying similar documents to “Relative sets and rough sets”

Knowledge vagueness and logic

Urszula Wybraniec-Skardowska (2001)

International Journal of Applied Mathematics and Computer Science

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The aim of the paper is to outline an idea of solving the problem of the vagueness of concepts. The starting point is a definition of the concept of vague knowledge. One of the primary goals is a formal justification of the classical viewpoint on the controversy about the truth and object reference of expressions including vague terms. It is proved that grasping the vagueness in the language aspect is possible through the extension of classical logic to the logic of sentences which may...

On some properties of grounding nonuniform sets of modal conjunctions

Radoslaw Katarzyniak (2006)

International Journal of Applied Mathematics and Computer Science

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A language grounding problem is considered for nonuniform sets of modal conjunctions consisting of conjunctions extended with more than one modal operator of knowledge, belief or possibility. The grounding is considered in the context of semiotic triangles built from language symbols, communicative cognitive agents and external objects. The communicative cognitive agents are assumed to be able to observe external worlds and store the results of observations in internal knowledge bases....

Grounding and extracting modal responses in cognitive agents: 'AND' query and states of incomplete knowledge

Radosław Katarzyniak, Agnieszka Pieczynska-Kuchtiak (2004)

International Journal of Applied Mathematics and Computer Science

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In this study an original way of modeling language grounding and generation for a simple set of language responses is presented. It is assumed that the language is used by a cognitive agent and consists of a few modal belief and possibility formulas that are used by this agent to communicate its opinions on the current state of an object. The cognitive agent is asked a simple AND query and the language is tailored to this situation. The agent's knowledge bases are characterized by certain...

Taclets: a new paradigm for constructing interactive theorem provers.

Bernhard Beckert, Martin Giese, Elmar Habermalz, Reiner Hähnle, Andreas Roth, Philipp Rümmer, Steffen Schlager (2004)

RACSAM

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Frameworks for interactive theorem proving give the user explicit control over the construction of proofs based on meta languages that contain dedicated control structures for describing proof construction. Such languages are not easy to master and thus contribute to the already long list of skills required by prospective users of interactive theorem provers. Most users, however, only need a convenient formalism that allows to introduce new rules with minimal overhead. On the the other...

A Lukasiewicz logic based Prolog.

Frank Klawonn, Rudolf Kruse (1994)

Mathware and Soft Computing

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Prolog is a programming language based on a restricted subset of classical first order predicate logic. In order to overcome some problems of classical logic to handle imperfect human knowledge, we provide a formal framework for a Lukasiewicz logic based Prolog system. The use of Lukasiewicz logic with its connection to Ulam games enables us to deal with partial inconsistencies by interpreting the truth values as relative distance to contradiction. We also present the software tool LULOG...

Logic of existence and logic of knowledge. Epistemic and non epistemic aspects of logic

Michel Bourdeau (2003)

Philosophia Scientiae

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Contrairement à ce qui a parfois été dit, la logique classique et la logique intuitionniste ne s’opposent pas comme une logique de l’existence à une logique de la connaissance. Les considérations épistémologiques trouvent naturellement leur place dans le cadre de la logique classique, sans qu’il soit nécessaire de faire intervenir aucun principe intuitionniste ; il suffit pour cela de reconnaître que la logique ne peut se passer de la notion d’assertion, ou si l’on préfère de jugement....