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Pregled bibliografske jedinice broj: 1097426

Interpretability logics and generalised veltman semantics


Mikec, Luka; Vuković, Mladen
Interpretability logics and generalised veltman semantics // The Journal of symbolic logic, 85 (2020), 2; 749-772 doi:10.1017/jsl.2020.7 (međunarodna recenzija, članak, znanstveni)


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Naslov
Interpretability logics and generalised veltman semantics

Autori
Mikec, Luka ; Vuković, Mladen

Izvornik
The Journal of symbolic logic (0022-4812) 85 (2020), 2; 749-772

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
interpretability logic ; generalized Veltman semantics ; completeness

Sažetak
We obtain modal completeness of the interpretability logics ILP_0 ILR w.r.t.\ generalized Veltman semantics. Our proofs are based on the notion of full labels. We also give shorter proofs of completeness w.r.t.\ generalized semantics for many classical interpretability logics. We obtain decidability and finite model property w.r.t.\ generalized semantics for ILP_0 and ILR. Finally, we develop a construction that might be useful for future proofs of completeness of extensions of ILW w.r.t. generalized semantics, and demonstrate its usage with ILW*.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-7459 - Izračunljive strukture, odlučivost i složenost (CompStruct) (Iljazović, Zvonko, HRZZ - 2018-01) ( CroRIS)
HRZZ-UIP-2017-05-9219 - Formalno rasuđivanje i semantike (FORMALS) (Perkov, Tin, HRZZ - 2017-05) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Mladen Vuković (autor)

Avatar Url Luka Mikec (autor)

Poveznice na cjeloviti tekst rada:

doi www-cambridge-org.ezproxy.nsk.hr arxiv.org

Citiraj ovu publikaciju:

Mikec, Luka; Vuković, Mladen
Interpretability logics and generalised veltman semantics // The Journal of symbolic logic, 85 (2020), 2; 749-772 doi:10.1017/jsl.2020.7 (međunarodna recenzija, članak, znanstveni)
Mikec, L. & Vuković, M. (2020) Interpretability logics and generalised veltman semantics. The Journal of symbolic logic, 85 (2), 749-772 doi:10.1017/jsl.2020.7.
@article{article, author = {Mikec, Luka and Vukovi\'{c}, Mladen}, year = {2020}, pages = {749-772}, DOI = {10.1017/jsl.2020.7}, keywords = {interpretability logic, generalized Veltman semantics, completeness}, journal = {The Journal of symbolic logic}, doi = {10.1017/jsl.2020.7}, volume = {85}, number = {2}, issn = {0022-4812}, title = {Interpretability logics and generalised veltman semantics}, keyword = {interpretability logic, generalized Veltman semantics, completeness} }
@article{article, author = {Mikec, Luka and Vukovi\'{c}, Mladen}, year = {2020}, pages = {749-772}, DOI = {10.1017/jsl.2020.7}, keywords = {interpretability logic, generalized Veltman semantics, completeness}, journal = {The Journal of symbolic logic}, doi = {10.1017/jsl.2020.7}, volume = {85}, number = {2}, issn = {0022-4812}, title = {Interpretability logics and generalised veltman semantics}, keyword = {interpretability logic, generalized Veltman semantics, completeness} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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