Classical realizability in the CPS target language
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Classical realizability in the CPS target language. / Frey, Jonas.
I: Electronic Notes in Theoretical Computer Science, Bind 325, 2016, s. 111-126.Publikation: Bidrag til tidsskrift › Konferenceartikel › Forskning › fagfællebedømt
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TY - GEN
T1 - Classical realizability in the CPS target language
AU - Frey, Jonas
N1 - Conference code: 32
PY - 2016
Y1 - 2016
N2 - Motivated by considerations about Krivine's classical realizability, we introduce a term calculus for an intuitionistic logic with record types, which we call the CPS target language. We give a reformulation of the constructions of classical realizability in this language, using the categorical techniques of realizability triposes and toposes. We argue that the presentation of classical realizability in the CPS target language simplifies calculations in realizability toposes, in particular it admits a nice presentation of conjunction as intersection type which is inspired by Girard's ludics.
AB - Motivated by considerations about Krivine's classical realizability, we introduce a term calculus for an intuitionistic logic with record types, which we call the CPS target language. We give a reformulation of the constructions of classical realizability in this language, using the categorical techniques of realizability triposes and toposes. We argue that the presentation of classical realizability in the CPS target language simplifies calculations in realizability toposes, in particular it admits a nice presentation of conjunction as intersection type which is inspired by Girard's ludics.
KW - Classical realizability
KW - CPS translation
KW - ludics
KW - topos
KW - tripos
UR - http://www.scopus.com/inward/record.url?scp=84992420224&partnerID=8YFLogxK
U2 - 10.1016/j.entcs.2016.09.034
DO - 10.1016/j.entcs.2016.09.034
M3 - Conference article
AN - SCOPUS:84992420224
VL - 325
SP - 111
EP - 126
JO - Electronic Notes in Theoretical Computer Science
JF - Electronic Notes in Theoretical Computer Science
SN - 1571-0661
Y2 - 23 May 2016 through 26 May 2016
ER -
ID: 172100185