Justification Logic
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Justification Logic
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Author : Sergei Artemov
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-02
Justification Logic written by Sergei Artemov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-02 with Mathematics categories.
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
Logics Of Proofs And Justifications
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Author : Roman Kuznets
language : en
Publisher:
Release Date : 2019-04-02
Logics Of Proofs And Justifications written by Roman Kuznets and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-02 with categories.
Justification logics are closely related to modal logics and can be viewed as a refinement of the latter with machinery for justification manipulation. Justifications are represented directly in the language by terms, which can be interpreted as formal proofs in a deductive system, evidence for knowledge, winning strategy in a game, etc. This more expressive language proved beneficial in both proof theory and epistemology and helped investigate problems ranging from a classical provability semantics for intuitionistic logic to the logical omniscience problem. Justification logic is a new and fast evolving field that offers unexpected new approaches and insights into old problems. Its position at the junction of mathematics, philosophy, and computer science makes it of interest to a wide audience. This book provides a rigorous introduction to justification logic. It covers the basic constructions of justification logic as well as epistemic models and provability semantics. Further it includes chapters on decidability and complexity of justification logics as well as a chapter on self-referentiality. It also contains detailed historic remarks on the subject.
Uncertain Reasoning In Justification Logic
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Author : Ioannis Kokkinis
language : en
Publisher: Lulu.com
Release Date : 2016-06
Uncertain Reasoning In Justification Logic written by Ioannis Kokkinis and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06 with Computers categories.
This thesis studies the combination of two well known formal systems for knowledge representation: probabilistic logic and justification logic. Our aim is to design a formal framework that allows the analysis of epistemic situations with incomplete information. In order to achieve this we introduce two probabilistic justification logics, which are defined by adding probability operators to the minimal justification logic J. We prove soundness and completeness theorems for our logics and establish decidability procedures. Both our logics rely on an infinitary rule so that strong completeness can be achieved. One of the most interesting mathematical results for our logics is the fact that adding only one iteration of the probability operator to the justification logic J does not increase the computational complexity of the logic.
New Directions In Justification Logic
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Author : Joseph Lurie
language : en
Publisher:
Release Date : 2018
New Directions In Justification Logic written by Joseph Lurie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Electronic dissertations categories.
Justification logics are constructive analogues of modal logics. As such, they provide perspicuous models of those modalities that have inherently constructive character, such as intuitionistic mathematical provability or the knowledge operator of evidentialist epistemology. In this dissertation, I examine a variety of positions in epistemology, along with their associated ontological commitments, and develop various classical and non-classical justification logics that are suitable for use as models of these positions.
Complexity Issues In Justification Logic
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Author : Roman Kuznets
language : en
Publisher:
Release Date : 2008
Complexity Issues In Justification Logic written by Roman Kuznets and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Logic categories.
Structural Reliabilism
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Author : P. Kawalec
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Structural Reliabilism written by P. Kawalec and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
Kawalec's monograph is a novel defence of the programme of inductive logic, developed initially by Rudolf Carnap in the 1950s and Jaakko Hintikka in the 1960s. It revives inductive logic by bringing out the underlying epistemology. The main strength of the work is its link between inductive logic and contemporary discussions of epistemology. Through this perspective the author succeeds to shed new light on the significance of inductive logic. The resulting structural reliabilist theory propounds the view that justification supervenes on syntactic and semantic properties of sentences as justification-bearers. The claim is made that this sets up a genuine alternative to the prevailing theories of justification. Kawalec substantiates this claim by confronting structural reliabilism with a number of epistemological problems. Kawalec writes in a clear manner, makes his theses and arguments explicit, and gives ample bibliographical references.
Justification Logic Type Theory And The Bhk Interpretation
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Author : Neil J. DeBoer
language : en
Publisher:
Release Date : 2020
Justification Logic Type Theory And The Bhk Interpretation written by Neil J. DeBoer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Logic, Symbolic and mathematical categories.
Relating Justification Logic Modality And Type Theory In Curry Howard Fashion
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Author : Konstantinos Pouliasis
language : en
Publisher:
Release Date : 2018
Relating Justification Logic Modality And Type Theory In Curry Howard Fashion written by Konstantinos Pouliasis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Justification Logic And Information States
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Author : Melchior Ndarugendamwo
language : en
Publisher:
Release Date : 1996
Justification Logic And Information States written by Melchior Ndarugendamwo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Awareness In Logic And Epistemology
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Author : Claudia Fernández-Fernández
language : en
Publisher: Springer Nature
Release Date : 2021-06-19
Awareness In Logic And Epistemology written by Claudia Fernández-Fernández and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-19 with Philosophy categories.
This book creates a conceptual schema that acts as a correlation between Epistemology and Epistemic Logic. It connects both fields and offers a proper theoretical foundation for the contemporary developments of Epistemic Logic regarding the dynamics of information. It builds a bridge between the view of Awareness Justification Internalism, and a dynamic approach to Awareness Logic. The book starts with an introduction to the main topics in Epistemic Logic and Epistemology and reviews the disconnection between the two fields. It analyses three core notions representing the basic structure of the conceptual schema: “Epistemic Awareness”, “Knowledge” and “Justification”. Next, it presents the Explicit Aware Knowledge (EAK) Schema, using a diagram of three ellipses to illustrate the schema, and a formal model based on a neighbourhood-model structure, that shows one concrete application of the EAK-Schema into a logical structure. The book ends by presenting conclusions and final remarks about the uses and applications of the EAK-Schema. It shows that the most important feature of the schema is that it serves both as a theoretical correlate to the dynamic extensions of Awareness Logic, providing it with a philosophical background, and as an abstract conceptual structure for a re-interpretation of Epistemology.
