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Non-Constructive Procedural Theory of Propositional Problems and the Equivalence of Solutions

Result description

We approach the topic of solution equivalence of propositional problems from the perspective of non-constructive procedural theory of problems based on Transparent Intensional Logic (TIL). The answer we put forward is that two solutions are equivalent if and only if they have equivalent solution concepts. Solution concepts can be understood as a generalization of the notion of proof objects from the Curry-Howard isomorphism.

Keywords

Transparent Intensional Logicprocedural semanticslogic of problemsprocedural isomorphism

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Non-Constructive Procedural Theory of Propositional Problems and the Equivalence of Solutions

  • Original language description

    We approach the topic of solution equivalence of propositional problems from the perspective of non-constructive procedural theory of problems based on Transparent Intensional Logic (TIL). The answer we put forward is that two solutions are equivalent if and only if they have equivalent solution concepts. Solution concepts can be understood as a generalization of the notion of proof objects from the Curry-Howard isomorphism.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    60301 - Philosophy, History and Philosophy of science and technology

Result continuities

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    The Logica Yearbook 2018

  • ISBN

    978-1-84890-307-4

  • ISSN

  • e-ISSN

  • Number of pages

    14

  • Pages from-to

    197-210

  • Publisher name

    College Publications

  • Place of publication

    London

  • Event location

    Hejnice

  • Event date

    Jun 18, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

Basic information

Result type

D - Article in proceedings

D

OECD FORD

Philosophy, History and Philosophy of science and technology

Year of implementation

2019