Geodesic
On a modification of Visser's formal logic and its connection with Solovay's modal logic
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2023), pp. 15-25

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We present a new logic called SPL, embedded into Solovay's provability logic S using a translation that embeds Visser's formal logic FPL into Gödel-Löb's provability GL. SPL is formulated in the form of sequent and natural deduction calculi, a relational semantics is proposed.
Keywords: modal logic, sequent calculus, Solovay's logic, provability logic, embedding procedure.
Mots-clés : Visser's logic 
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     author = {Ya. I. Petrukhin},
     title = {On a modification of {Visser's} formal logic and its connection with {Solovay's} modal logic},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {15--25},
     publisher = {mathdoc},
     number = {11},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_11_a1/}
}
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Ya. I. Petrukhin. On a modification of Visser's formal logic and its connection with Solovay's modal logic. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2023), pp. 15-25. http://geodesic.mathdoc.fr/item/IVM_2023_11_a1/