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Extensional logic of hyperintensions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F12%3A86087811" target="_blank" >RIV/61989100:27240/12:86087811 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-642-28279-9_19" target="_blank" >http://dx.doi.org/10.1007/978-3-642-28279-9_19</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-642-28279-9_19" target="_blank" >10.1007/978-3-642-28279-9_19</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Extensional logic of hyperintensions

  • Original language description

    In this paper I describe an extensional logic of hyperintensions, viz. Tichý's Transparent Intensional Logic (TIL). TIL preserves transparency and compositionality in all kinds of context, and validates quantifying into all contexts, including intensional and hyperintensional ones. The availability of an extensional logic of hyperintensions defies the received view that an intensional (let alone hyperintensional) logic is one that fails to validate transparency, compositionality, and quantifying-in. Themain features of our logic are that the senses and denotations of (non-indexical) terms and expressions remain invariant across contexts and that our ramified type theory enables quantification over any logical objects of any order. The syntax of TIL isthe typed lambda calculus; its semantics is based on a procedural redefinition of, inter alia, functional abstraction and application. The only two non-standard features are a hyperintension (called Trivialization) that presents other hy

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Lecture Notes in Computer Science. Volume 7260

  • ISBN

    978-3-642-28278-2

  • Number of pages of the result

    33

  • Pages from-to

    268-290

  • Number of pages of the book

    336

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • UT code for WoS chapter