Skip to main content Skip to main navigation menu Skip to site footer
  • Register
  • Login
  • Language
    • English
    • Język Polski
  • Menu
  • Home
  • Current
  • Archives
  • Online First Articles
  • About
    • About the Journal
    • Submissions
    • Editorial Team
    • Advisory Board
    • Peer Review Process
    • Logic and Logical Philosophy Committee
    • Open Access Policy
    • Privacy Statement
    • Contact
  • Register
  • Login
  • Language:
  • English
  • Język Polski

Logic and Logical Philosophy

Errata Corrige to “Pragmatic and dialogic interpretation of bi-intuitionism. Part I”
  • Home
  • /
  • Errata Corrige to “Pragmatic and dialogic interpretation of bi-intuitionism. Part I”
  1. Home /
  2. Archives /
  3. Vol. 25 No. 2 (2016): June /
  4. Articles

Errata Corrige to “Pragmatic and dialogic interpretation of bi-intuitionism. Part I”

Authors

  • Gianluigi Bellin Università di Verona
  • Massimiliano Carrara University of Padua
  • Daniele Chiffi University of Padua
  • Alessandro Menti Università di Verona

DOI:

https://doi.org/10.12775/LLP.2015.005

Keywords

bi-intuitionism, categorical proof theory, justificationism, meaning-as-use, speech-acts theory

Abstract

The goal of [3] is to sketch the construction of a syntactic categorical model of the bi-intuitionistic logic of assertions and hypotheses AH, axiomatized in a sequent calculus AH-G1, and to show that such a model has a chirality-like structure inspired by the notion of dialogue chirality by P-A. Melliès [8]. A chirality consists of a pair of adjoint functors L ⊣ R, with L: A → B, R: B → A, and of a functor (.)* : A → Bop(0,1) satisfying certain conditions. The definition of the logic AH in [3] needs to be modified so that our categories A and B are actually dual. With this modification, a more complex structure emerges.

Author Biographies

Gianluigi Bellin, Università di Verona

Dipartimento di Informatica

Massimiliano Carrara, University of Padua

FISPPA Department

Daniele Chiffi, University of Padua

LEMBS

Alessandro Menti, Università di Verona

Dipartimento di Informatica

References

Bellin, G., “Assertions, hypotheses, conjectures, expectations: Rough-sets semantics and proof-theory”, pp. 193–241 in Advances in Natural Deduction. A Celebration of Dag Prawitz’s Work, L.C. Pereira, E. H. Haeusler, and V. de Paiva (eds.), series “Trends in Logic”, vol. 39, Springer Science + Business Media Dordrecht 2014. DOI: 10.1007/978-94-007-7548-0_10

Bellin, G., and C. Biasi, “Towards a logic for pragmatics. Assertions and conjectures”, Journal of Logic and Computation, 14, 4 (2004): 473–506. DOI: 10.1093/logcom/14.4.473

Bellin, G., M. Carrara, D. Chiffi, and A. Menti, “Pragmatic and dialogic interpretations of bi-intuitionism. Part I”, Logic and Logical Philosophy, 23, 4 (2014), 449–480. DOI: 10.12775/LLP.2014.011

Biasi, C., and F. Aschieri, “A term assignment for polarized bi-intuitionistic logic and its strong normalization”, Fundamenta Informaticae, 84, 2 (2008): 185–205.

Crolard, T., “Subtractive logic”, Theoretical Computer Science, 254, 1–2 (2001): 151–185. DOI: 10.1016/S0304-3975(99)00124-3

Drobyshevich, S., “On classical behavior of intuitionistic modalities”, Logic and Logical Philosophy, 24 (2015): 79–106. DOI: 10.12775/LLP.2014.019

Melliès, P-A., “Dialogue categories and chiralities”, manuscript (available at the author’s web page Link).

Melliès, P.-A., “A micrological study of negation”, manuscript (available at the author’s web page Link)

Logic and Logical Philosophy

Downloads

  • PDF

Published

2015-04-18

How to Cite

1.
BELLIN, Gianluigi, CARRARA, Massimiliano, CHIFFI, Daniele and MENTI, Alessandro. Errata Corrige to “Pragmatic and dialogic interpretation of bi-intuitionism. Part I”. Logic and Logical Philosophy. Online. 18 April 2015. Vol. 25, no. 2, pp. 225-233. [Accessed 7 July 2025]. DOI 10.12775/LLP.2015.005.
  • ISO 690
  • ACM
  • ACS
  • APA
  • ABNT
  • Chicago
  • Harvard
  • IEEE
  • MLA
  • Turabian
  • Vancouver
Download Citation
  • Endnote/Zotero/Mendeley (RIS)
  • BibTeX

Issue

Vol. 25 No. 2 (2016): June

Section

Articles

Stats

Number of views and downloads: 855
Number of citations: 0

Crossref
Scopus
Google Scholar
Europe PMC

Search

Search

Browse

  • Browse Author Index
  • Issue archive

User

User

Current Issue

  • Atom logo
  • RSS2 logo
  • RSS1 logo

Information

  • For Readers
  • For Authors
  • For Librarians

Newsletter

Subscribe Unsubscribe

Language

  • English
  • Język Polski

Tags

Search using one of provided tags:

bi-intuitionism, categorical proof theory, justificationism, meaning-as-use, speech-acts theory
Up

Akademicka Platforma Czasopism

Najlepsze czasopisma naukowe i akademickie w jednym miejscu

apcz.umk.pl

Partners

  • Akademia Ignatianum w Krakowie
  • Akademickie Towarzystwo Andragogiczne
  • Fundacja Copernicus na rzecz Rozwoju Badań Naukowych
  • Instytut Historii im. Tadeusza Manteuffla Polskiej Akademii Nauk
  • Instytut Kultur Śródziemnomorskich i Orientalnych PAN
  • Instytut Tomistyczny
  • Karmelitański Instytut Duchowości w Krakowie
  • Ministerstwo Kultury i Dziedzictwa Narodowego
  • Państwowa Akademia Nauk Stosowanych w Krośnie
  • Państwowa Akademia Nauk Stosowanych we Włocławku
  • Państwowa Wyższa Szkoła Zawodowa im. Stanisława Pigonia w Krośnie
  • Polska Fundacja Przemysłu Kosmicznego
  • Polskie Towarzystwo Ekonomiczne
  • Polskie Towarzystwo Ludoznawcze
  • Towarzystwo Miłośników Torunia
  • Towarzystwo Naukowe w Toruniu
  • Uniwersytet im. Adama Mickiewicza w Poznaniu
  • Uniwersytet Komisji Edukacji Narodowej w Krakowie
  • Uniwersytet Mikołaja Kopernika
  • Uniwersytet w Białymstoku
  • Uniwersytet Warszawski
  • Wojewódzka Biblioteka Publiczna - Książnica Kopernikańska
  • Wyższe Seminarium Duchowne w Pelplinie / Wydawnictwo Diecezjalne „Bernardinum" w Pelplinie

© 2021- Nicolaus Copernicus University Accessibility statement Shop