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On realizability semantics for independence friendly logic Conference attendances

Language Английский
Participant type Пленарный
URL http://philomatica.org/wp-content/uploads/2013/01/srl2017-final.pdf
Conference "Десятые Смирновские чтения по логике"
15-17 Jun 2017 , Москва, МГУ
Authors Odintsov S.P. 1 , Speranski S.O. 2 , Shevchenko I.Yu. 3
Affiliations
1 Sobolev Institute of Mathematics
2 Saint Petersburg State University
3 Novosibirsk State University

Abstract: We suggest realizaibilty interpretation for Hintikka’s independencefriendly first-order logic (IF-FOL for short) starting from the so-called ‘trump semantics’ for IF-FOL discovered by Hodges. We prove that the resulting realizability interpretation for IF-FOL extends Nelson’s realizability interpretation restricted for the implication-free fragment of FOL in an effective way.
Cite: Odintsov S.P. , Speranski S.O. , Shevchenko I.Y.
On realizability semantics for independence friendly logic
"Десятые Смирновские чтения по логике" 15-17 Jun 2017