Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations

Häftad, Engelska, 2018

AvGemma Robles,Jos� M. M�ndez,Jose M. Mendez

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Routley-Meyer Ternary Relational Semantics for Intuitionistic-type Negations examines how to introduce intuitionistic-type negations into RM-semantics. RM-semantics is highly malleable and capable of modeling families of logics which are very different from each other. This semantics was introduced in the early 1970s, and was devised for interpreting relevance logics. In RM-semantics, negation is interpreted by means of the Routley operator, which has been almost exclusively used for modeling De Morgan negations. This book provides research on particular features of intuitionistic-type of negations in RM-semantics, while also defining the basic systems and many of their extensions by using models with or without a set of designated points.

Provides a clear development of the fundamentals of RM-semantics in a new application
Covers the most general research on ternary relational semantics
Includes scrutiny of constructive negation from the ternary relational perspective

Produktinformation

Utgivningsdatum2018-01-09
Mått152 x 229 x undefined mm
Vikt270 g
FormatHäftad
SpråkEngelska
Antal sidor158
FörlagElsevier Science
ISBN9780081007518

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Matematik inom Naturvetenskap och teknik

Gemma Robles is a researcher at the Department of Psychology, Sociology, and Philosophy at the Universidad de León. Since 2011, she has published more than 50 papers on non-classical logics in impact journals. José M. Méndez is a Professor of Logic at the Universidad de Salamanca. His research interests include philosophical logic focusing on modal logics, multivalued logics, and relevance logics.

PART I. Models with Set of Designated Points1. The basic logic Bc and its semantics2. Completeness of Bc3. Extensions of BcPART II. Models without a Set of Designated Points4. The logic BK5. Extensions of BKPART III. Formulations by Means of a Falsity Constant6. The logics B+,F and BK+,F7. Definitional equivalencePART IV. Relevance and Intuitionistic-Type Negations8. The logic RBc and its extensions9. The logic RB+,t,F and its extensions