
Logic and Its Applications
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Content
- Title
- Preface
- Organization
- Table of Contents
- Semantics Based on Conceptual Spaces
- Introduction
- Conceptual Spaces as a Semantic Framework
- Properties and Concepts
- The Semantics of Adjectives, Nouns, and Prepositions
- Modelling Actions
- A Two-Vector Model of Events
- The Role of Events in the Semantics of Verbs
- Conclusion
- References
- Four Corners-East and West
- Introduction
- A Little History
- Making Sense of the Catuskoti
- Rejecting All the Kotis
- Accepting More than One Koti
- None of the Kotis, Again
- Conclusion
- References
- Infinite Games and Uniformization
- References
- On Fuzzy Sets and Rough Sets from the Perspective of Indiscernibility
- Introduction
- Fuzzy Sets
- Rough Sets
- Rough Membership Function
- Vagueness
- Concluding Remarks
- References
- The Logic of Campaigning
- Introduction
- The Formalism
- Some Examples
- What Happens When Someone Says Something?
- Learning from Communication
- The Use of Language in Campaigning
- Towards a Formal Model: Languages and Theories
- Worlds and Preferences
- Utilities of Worlds and Theories
- Voter Types
- The Value of a Message
- Complex Statements
- Moving to Complete Theories
- Does Order Matter?
- Independent Topics
- Implicature
- Future Work
- References
- A Stochastic Interpretation of Propositional Dynamic Logic: Expressivity
- Introduction
- Preliminaries
- The Logic
- Interpretation of sPDL
- Morphisms
- Expressivity
- Conclusion
- References
- Contextual Coalitional Games
- Introduction
- Preliminaries
- Formalization of Contextual Coalitional Games
- Representations of Contextual Coalitional Games
- Contextual Marginal Contribution Nets
- Contextual Marginal Contribution Nets
- An Example Using Contextual MC-Nets
- Related Work
- Conclusions
- References
- Sensible Semantics of Imperfect Information On a Formal Feature of Meanings
- Introduction
- Logics of Imperfect Information
- The Combinatorics of Imperfect Information
- Sensible Semantics
- Sensible Semantics of Imperfect Information
- References
- A Qualitative Approach to Uncertainty
- Introduction
- Some Relevant Issues: A Prelude
- Attitudes Representable with a Single Modal Operator
- Bipolar Representation of Information
- Approaches for Modeling Uncertainty
- A Language for Positive and Negative Attitudes
- The Basic System
- The New Attitudes
- The K System as a Particular Case
- Profile of the dual Framework
- Decidability
- Complexity
- Axiom Systems
- Concrete Interpretations
- Belief-Disbelief Logic
- Preference
- A Comparative Discussion
- A Logic of Acceptance and Rejection
- Some Logics of Belief and Disbelief
- Dynamics
- References
- The Completion of the Emergence of Modern Logic from Boole's The Mathematical Analysis of Logic to Frege's Begriffsschrift
- Introduction
- The Beginning of Modern Logic in Boole's The Mathematical Analysis of Logic
- The Completion of the Emergence of Modern Logic in Frege's Begriffsschrift
- Conclusion
- References
- A Modal Logic for Multiple-Source Tolerance Approximation Spaces
- Introduction
- Notion of Approximations in Multiple-Source Scenario
- Logic for [0,1]Q-Fuzzy Approximation Space
- Semantics
- Relationship with Basic Modal Logic
- Coalgebraic Perspective
- Axiomatization and Completeness
- Finite Model Property and Decidability
- Conclusions
- References
- A Note on Nathanial's Invariance Principle in Polyadic Inductive Logic
- References
- First-Order Inquisitive Pair Logic
- Introduction
- Inquisitive Semantics and Constant-Domain Kripke Semantics
- Inquisitive Pair Semantics
- Constant-Domain Kripke Semantics
- A Complete Hilbert-Style Calculus for Inquisitive Pair Logic
- Tree-Sequent Calculus for First-Order Inquisitive Pair Logic
- Completeness of Tree-Sequent Calculus
- Cut-Elimination Theorem and Soundness of Tree-Sequent Calculus
- Conclusion
- References
- Ultrafilter Extensions of Models
- References
- Logic in the Community
- Reasoning about Social Relations
- Facebook Friends
- Distributed Knowledge
- Social Information Flow
- Deference to Expert Opinion
- Peer Pressure
- Community Norms
- Mutual Subordination
- Facebook Logic
- Distributed Knowledge
- Talking about Friends
- Indexical Public Announcements
- Talking to Friends
- Prospects
- References
- Reasoning about Protocol Change and Knowledge
- Introduction
- Protocol Announcement Logic PDL!
- Public Event Logic PDL!?b
- Conclusions and Future Work
- References
- Becoming Aware of Propositional Variables
- Introduction
- Structures
- Language and Semantics
- Intrinsic, Explicit and Implicit Knowledge
- Decidability
- Axiomatization
- Comparison
- References
- Author Index
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