Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Sequent- and tableau-based proof systems for nonclassical logics

2017/25/B/HS1/01268

Keywords:

nonclassical logics modal logics proof systems tableau-based systems sequent calculi decidability

Descriptors:

  • HS1_4: Logic, science methodology, philosophy of science

Panel:

HS1 - Fundamental questions of human existence and the nature of reality: philosophy, cognition, religious studies, theology

Host institution :

Uniwersytet Łódzki, Wydział Filozoficzno-Historyczny

woj. łódzkie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Andrzej Indrzejczak 

Number of co-investigators in the project: 3

Call: OPUS 13 - announced on 2017-03-15

Amount awarded: 364 680 PLN

Project start date (Y-m-d): 2018-01-15

Project end date (Y-m-d): 2023-01-14

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Laptop (2 szt.) (8 000 PLN)
  2. Czytnik ebooków (1 000 PLN)

Information in the final report

  • Publication in academic press/journals (20)
  • Articles in post-conference publications (8)
  • Book publications / chapters in book publications (1)
  1. A Novel Approach to Equality
    Authors:
    Andrzej Indrzejczak
    Academic press:
    Synthese (rok: 2021, tom: 199(1-2), strony: 4749–4774), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11229-020-03000-8 - link to the publication
  2. Exactly true and non-falsity logics meeting infectious ones
    Authors:
    Alex Belikov, Yaroslav Petrukhin
    Academic press:
    Journal of Applied Non-Classical Logics (rok: 2020, tom: 30/2, strony: 93-122), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/11663081.2020.1751573 - link to the publication
  3. Russellian definite description theory — a proof theoretic approach
    Authors:
    Andrzej Indrzejczak
    Academic press:
    Review of Symbolic Logic (rok: 2021, tom: First View, strony: 45317), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S1755020321000289 - link to the publication
  4. S5-style non-standard modalities in a hypersequent framework
    Authors:
    Yaroslav Petrukhin
    Academic press:
    Logic and Logical Philosophy (rok: 2021, tom: Online First, strony: 1–30), Wydawca: Uniwersytet Mikołaja Kopernika w Toruniu
    Status:
    Published
    DOI:
    10.12775/LLP.2021.020 - link to the publication
  5. The Method of Socratic Proofs Meets Correspondence Analysis
    Authors:
    Dorota Leszczyńska-Jasion, Yaroslav Petrukhin, Vasilyi Shangin
    Academic press:
    Bulletin of the Section of Logic (rok: 2019, tom: 48(2), strony: 99-116), Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
    Status:
    Published
    DOI:
    10.18778/0138-0680.48.2.02 - link to the publication
  6. When iota meets lambda
    Authors:
    Andrzej Indrzejczak, Michał Zawidzki
    Academic press:
    Synthese (rok: 2023, tom: 201, strony: 12055), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11229-023-04048-y - link to the publication
  7. Free Definite Description Theory – Sequent Calculi and Cut Elimination
    Authors:
    Andrzej Indrzejczak
    Academic press:
    Logic and Logical Philosophy (rok: 2020, tom: 29/4, strony: 505-539), Wydawca: Uniwersytet Mikołaja Kopernika w Toruniu
    Status:
    Published
    DOI:
    10.12775/LLP.2020.020 - link to the publication
  8. Rule-Generation Theorem and its Applications
    Authors:
    Andrzej Indrzejczak
    Academic press:
    Bulletin of the Section of Logic (rok: 2018, tom: 4(47), strony: 265-281), Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
    Status:
    Published
    DOI:
    10.18778/0138-0680.47.4.03 - link to the publication
  9. Two proofs of the algebraic completeness theorem for multilattice logic
    Authors:
    Oleg Grigoriev, Yaroslav Petrukhin
    Academic press:
    Journal of Applied Non-Classical Logic (rok: 2019, tom: 29(4), strony: 358-381), Wydawca: Taylor &Francis
    Status:
    Published
    DOI:
    10.1080/11663081.2019.1647654 - link to the publication
  10. Basic modal congruent and monotonic multilattice logics
    Authors:
    Oleg Grigoriev, Yaroslav Petrukhin
    Academic press:
    Journal of Logic and Computation (rok: 2022, tom: Online First, strony: 45311), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/logcom/exac028 - link to the publication
  11. Fregean Description Theory in Proof-Theoretical Setting
    Authors:
    Andrzej Indrzejczak
    Academic press:
    Logic and Logical Philosophy (rok: 2019, tom: 28(1), strony: 137-155), Wydawca: Katedra Logiki, Uniwersytet Mikołaja Kopernika w Toruniu
    Status:
    Published
    DOI:
    10.12775/LLP.2018.008 - link to the publication
  12. Functional Completeness in CPL via Correspondence Analysis
    Authors:
    Dorota Leszczyńska-Jasion, Yaroslav Petrukhin, Vasilyi Shangin, Marcin Jukiewicz
    Academic press:
    Bulletin of the Section of Logic (rok: 2019, tom: 48(1), strony: 45-76), Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
    Status:
    Published
    DOI:
    10.18778/0138-0680.48.1.04 - link to the publication
  13. Modal multilattice logics with Tarski, Kuratowski, and Halmos operators
    Authors:
    Oleg Grigoriev, Yaroslav Petrukhin
    Academic press:
    Logic and Logical Philosophy (rok: 2021, tom: 30(3), strony: 385–415), Wydawca: Uniwersytet Mikołaja Kopernika w Toruniu
    Status:
    Published
    DOI:
    10.12775/LLP.2021.003 - link to the publication
  14. Axiomatization of non-associative generalisations of Hájek's BL and psBL
    Authors:
    Yaroslav Petrukhin
    Academic press:
    Journal of Applied Non-Classical Logics (rok: 2020, tom: 30/1, strony: 45306), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/11663081.2019.1703468 - link to the publication
  15. Free logics are cut-free
    Authors:
    Andrzej Indrzejczak
    Academic press:
    Studia Logica (rok: 2021, tom: 109(4), strony: 859–886), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11225-020-09929-8 - link to the publication
  16. Correspondence analysis and automated proof-searching for first degree entailment
    Authors:
    Yaroslav Petrukhin, Vasily Shangin
    Academic press:
    European Journal of Mathematics (rok: 2020, tom: 6, strony: 1452-1495), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s40879-019-00344-5 - link to the publication
  17. Non-transitive Correspondence Analysis
    Authors:
    Yaroslav Petrukhin, Vasily Shangin
    Academic press:
    Jorunal of Logic, Language and Information (rok: 2022, tom: Online first, strony: 45318), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10849-022-09382-x - link to the publication
  18. Normalisation for Some Quite InterestingMany-Valued Logics
    Authors:
    Nils Kürbis, Yaroslav Petrukhin
    Academic press:
    Logic and Logical Philosophy (rok: 2021, tom: 30(3), strony: 493–534), Wydawca: Uniwersytet Mikołaja Kopernika w Toruniu
    Status:
    Published
    DOI:
    10.12775/LLP.2021.009 - link to the publication
  19. On a multilattice analogue of a hypersequent S5 calculus
    Authors:
    Oleg Grigoriev, Yaroslav Petrukhin
    Academic press:
    Logic and Logical Philosophy (rok: 2019, tom: 28(4), strony: 683-730), Wydawca: Uniwersytet Mikołaja Kopernika w Toruniu
    Status:
    Published
    DOI:
    10.12775/LLP.2019.031 - link to the publication
  20. The logic of internal rational agent
    Authors:
    Yaroslav Petrukhin
    Academic press:
    Australasian Journal of Logic (rok: 2021, tom: 18(2), strony: 29–50), Wydawca: Australasian Association of Logic / Victoria University of Wellington
    Status:
    Published
    DOI:
    10.26686/ajl.v18i2.6286 - link to the publication
  1. Leśniewski's Ontology – Proof-Theoretic Characterization
    Authors:
    Andrzej Indrzejczak
    Conference:
    International Joint Conference on Automated Reasoning (IJCAR 2022) (rok: 2022, ), Wydawca: Springer
    Data:
    konferencja 8-10.08.2022
    Status:
    Published
  2. Normalisation for Some Infectious Logics and Their Relatives
    Authors:
    Yaroslav Petrukhin
    Conference:
    10th International Conference on Non-Classical Logics. Theory and Applications (NCL 2022) (rok: 2022, ), Wydawca: Electronic Proceedings in Theoretical Computer Science
    Data:
    konferencja 14-18.03.2022
    Status:
    Published
  3. Tableaux for Free Logics with Descriptions
    Authors:
    Andrzej Indrzejczak, Michał Zawidzki
    Conference:
    Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX) (rok: 2021, ), Wydawca: Springer
    Data:
    konferencja 6-9.09.2021
    Status:
    Published
  4. Existence, Definedness and Definite Descriptions in Hybrid Modal Logic
    Authors:
    Andrzej Indrzejczak
    Conference:
    Advances in Modal Logic XII (rok: 2020, ), Wydawca: College Publications
    Data:
    konferencja 24-28.08.2020
    Status:
    Published
  5. Two is Enough – Bisequent Calculus for S5
    Authors:
    Andrzej Indrzejczak
    Conference:
    Frontiers of Combining Systems 2019 (rok: 2019, ), Wydawca: Springer (Lecture Notes in Artificial Intelligence 11715)
    Data:
    konferencja 4-6.09.2019
    Status:
    Published
  6. When iota Meets lambda
    Authors:
    Andrzej Indrrzejczak, Michał Zawidzki
    Conference:
    iPRA 2022 – the 4th Workshop on Interpolation: From Proofs to Applications (rok: 2022, ), Wydawca: -
    Data:
    konferencja 11.08.2022
    Status:
    Published
  7. Cut-Free Modal Theory of Definite Descriptions
    Authors:
    Andrzej Indrzejczak
    Conference:
    Advances in Modal Logic (rok: 2018, ), Wydawca: College Publications
    Data:
    konferencja 27-31 sierpnia 2018
    Status:
    Published
  8. From Simplified Kripke-Style Semantics to Simplified Analytic Tableaux for Some Normal Modal Logics
    Authors:
    Yaroslav Petrukhin, Michał Zawidzki
    Conference:
    The 18th International Conference of the Italian Association for Artificial Intelligence (AIIA 2019) (rok: 2019, ), Wydawca: Springer (Lecture Notes in Computer Science 11946)
    Data:
    konferencja 19-22.11.2019
    Status:
    Published
  1. -
    Authors:
    Andrzej Indrzejczak
    Book:
    Sequents and Trees. An Introduction to the Theory and Applications of Propositional Sequent Calculi (rok: 2020, tom: -, strony: XVI+345), Wydawca: Birkhäuser (Springer Nature Switzerland)
    Status:
    Published

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