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A contextual type theory with judgemental modalities for reasoning from open assumptions

(2012) LOGIQUE ET ANALYSE. 220. p.579-600
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Abstract
Contextual type theories are largely explored in their applications to programming languages, but less investigated for knowledge representation purposes. The combination of a constructive language with a modal extension of contexts appears crucial to explore the attractive idea of a type-theoretical calculus of provability from refutable assumptions for non-monotonic reasoning. This paper introduces such a language: the modal operators are meant to internalize two different modes of correctness, respectively with necessity as the standard notion of constructive verification and possibility as provability up to refutation of contextual conditions.
Keywords
Modal Type Theory, Refutation, Assumptions-based Reasoning, PROOF

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Citation

Please use this url to cite or link to this publication:

Chicago
Primiero, Giuseppe. 2012. “A Contextual Type Theory with Judgemental Modalities for Reasoning from Open Assumptions.” Logique Et Analyse 220: 579–600.
APA
Primiero, G. (2012). A contextual type theory with judgemental modalities for reasoning from open assumptions. LOGIQUE ET ANALYSE, 220, 579–600.
Vancouver
1.
Primiero G. A contextual type theory with judgemental modalities for reasoning from open assumptions. LOGIQUE ET ANALYSE. 2012;220:579–600.
MLA
Primiero, Giuseppe. “A Contextual Type Theory with Judgemental Modalities for Reasoning from Open Assumptions.” LOGIQUE ET ANALYSE 220 (2012): 579–600. Print.
@article{3094113,
  abstract     = {Contextual type theories are largely explored in their applications to programming languages, but less investigated for knowledge representation purposes. The combination of a constructive language with a modal extension of contexts appears crucial to explore the attractive idea of a type-theoretical calculus of provability from refutable assumptions for non-monotonic reasoning. This paper introduces such a language: the modal operators are meant to internalize two different modes of correctness, respectively with necessity as the standard notion of constructive verification and possibility as provability up to refutation of contextual conditions.},
  author       = {Primiero, Giuseppe},
  issn         = {0024-5836},
  journal      = {LOGIQUE ET ANALYSE},
  keyword      = {Modal Type Theory,Refutation,Assumptions-based Reasoning,PROOF},
  language     = {eng},
  pages        = {579--600},
  title        = {A contextual type theory with judgemental modalities for reasoning from open assumptions},
  volume       = {220},
  year         = {2012},
}

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