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[]\T1/LinuxLibertineT-TLF/m/it/10 Given an ef-fect quan-tale $\LMS/ntxsy/m/n/10
�\OML/nxlmi/m/it/10 Q; \LMS/ntxsy/m/n/10 t\OML/nxlmi/m/it/10 ; \U/ntxsym/m/n/1
0 �\OML/nxlmi/m/it/10 ; \LMS/ntxsy/m/n/10 >\OML/nxlmi/m/it/10 ; I\LMS/ntxsy/m/n
/10 �$\T1/LinuxLibertineT-TLF/m/it/10 , there is a partially-defined ef-fect qu
an-tale $\LMS/ntxsy/m/n/10 �\OML/nxlmi/m/it/10 Q \LMS/ntxsy/m/n/10 n f>g\OML/nx
lmi/m/it/10 ; \LMS/ntxsy/m/n/10 tj[]\OML/nxlmi/m/it/10 ; \U/ntxsym/m/n/10 �\LMS
/ntxsy/m/n/10 j[]�$\T1/LinuxLibertineT-TLF/m/it/10 ,
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[]\T1/LinuxLibertineT-TLF/m/n/10 . State re-mains un-changed,
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\T1/LinuxLibertineT-TLF/m/n/10 fol-lows from the fact that bi-nary re-la-tions
form an ef-fect quan-tale: $\LMS/ntxsy/m/n/10 �[]�[]� ] f[]g\OML/nxlmi/m/it/10
; \LMS/ntxsy/m/n/10 [\OML/nxlmi/m/it/10 ; \LMS/ntxsy/m/n/10 ^^N\OML/nxlmi/m/it/
10 ; []; \U/ntxmia/m/it/10 =[]
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[]\T1/LinuxLibertineT-TLF/m/n/10 Figure [] also gives an in-stan-ti-a-tion of o
ur frame-work and cor-re-spond-ing type-and-effect-preserving
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[]\T1/LinuxLibertineT-TLF/m/n/8 Manuel F�h-n-drich, Mark Aiken, Chris Haw-blitz
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[]\T1/LinuxLibertineT-TLF/m/n/8 Roger Wolff, Ronald Gar-cia, �ric Tan-ter, and
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Con-fer-ence, Lan-caster, UK, July 25-29, 2011 Pro-ceed-ings\T1/LinuxLibertineT
-TLF/m/n/8 . 459--483.
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[]\T1/LinuxLibertineT-TLF/m/n/10 ], en-sur-ing a va-ri-ety of safety prop-er-ti
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\T1/LinuxLibertineT-TLF/m/n/10 to rea-son about atom-ic-ity [[] []], based on L
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[]\T1/LinuxLibertineT-TLF/m/n/10 Second, it pro-vides a counter-example to a co
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[]\T1/LinuxLibertineT-TLF/m/it/10 Given an ef-fect quan-tale $\LMS/ntxsy/m/n/10
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[]\T1/LinuxLibertineT-TLF/m/n/10 Closure op-er-a-tors have sev-eral par-tic-u-l
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\T1/LinuxLibertineT-TLF/m/n/10 monly used no-tions of sound-ness for \T1/LinuxL
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. Most generic ef-fect sys-tems [[]
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\T1/LinuxLibertineT-TLF/m/n/10 fol-lows from the fact that bi-nary re-la-tions
form an ef-fect quan-tale: $\LMS/ntxsy/m/n/10 �[]�[]� ] f[]g\OML/nxlmi/m/it/10
; \LMS/ntxsy/m/n/10 [\OML/nxlmi/m/it/10 ; \LMS/ntxsy/m/n/10 ^^N\OML/nxlmi/m/it/
10 ; []; \U/ntxmia/m/it/10 =[]
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\T1/LinuxLibertineT-TLF/m/n/10 mod-u-lar (i.e., ef-fec-tors can special-case ce
r-tain pat-terns in source code for more pre-cise ef-fects) [[]
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[]\T1/LinuxLibertineT-TLF/m/n/10 Figure [][][][][][] also gives an in-stan-ti-a
-tion of our frame-work and cor-re-spond-ing type-and-effect-preserving
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[]\T1/LinuxLibertineT-TLF/m/n/10 Marino and Mill-stein give a generic model of
a static com-mu-ta-tive ef-fect sys-tem [[]
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\T1/LinuxLibertineT-TLF/m/it/10 Types for Safe Lock-ing \T1/LinuxLibertineT-TLF
/m/n/10 [[] []] (the pre-cur-sor to \T1/LinuxLibertineT-TLF/m/sc/10 RCC/Java \T
1/LinuxLibertineT-TLF/m/n/10 [[]
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\T1/LinuxLibertineT-TLF/m/n/10 quire more so-phis-ti-cated ma-chin-ery for com-
pos-ing par-tial se-man-tic def-i-ni-tions [[]
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\T1/LinuxLibertineT-TLF/m/it/8 ings of the 19th ACM SIG-PLAN In-ter-na-tional C
on-fer-ence on Func-tional Pro-gram-ming (ICFP '14)\T1/LinuxLibertineT-TLF/m/n/
8 . ACM, 283--295.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Nick Ben-ton and Pe-ter Buchlovsky. 2007. Se-m
an-tics of an Ef-fect Anal-y-sis for Ex-cep-tions. In \T1/LinuxLibertineT-TLF/m
/it/8 TLDI\T1/LinuxLibertineT-TLF/m/n/8 .
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[]\T1/LinuxLibertineT-TLF/m/n/8 Thomas Scott Blyth. 2006. \T1/LinuxLibertineT-
TLF/m/it/8 Lat-tices and or-dered al-ge-braic struc-tures\T1/LinuxLibertineT-TL
F/m/n/8 . Springer Sci-ence & Busi-ness Me-dia.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Luis Damas and Robin Mil-ner. 1982. Prin-ci-pa
l Type-schemes for Func-tional Pro-grams. In \T1/LinuxLibertineT-TLF/m/it/8 Pro
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\T1/LinuxLibertineT-TLF/m/it/8 9th ACM SIGPLAN-SIGACT Sym-po-sium on Prin-ci-pl
es of Pro-gram-ming Lan-guages (POPL '82)\T1/LinuxLibertineT-TLF/m/n/8 . ACM, 2
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[]\T1/LinuxLibertineT-TLF/m/n/8 Mike Dodds, Xinyu Feng, Matthew Parkin-son, and
Vik-tor Vafeiadis. 2009. Deny-Guarantee Rea-son-ing. In
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\T1/LinuxLibertineT-TLF/m/it/8 Pro-ceed-ings of the 18th Eu-ro-pean Sym-po-sium
on Pro-gram-ming (ESOP)\T1/LinuxLibertineT-TLF/m/n/8 . Springer Berlin Hei-del
-berg, 363--377.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Manuel F�h-n-drich, Mark Aiken, Chris Haw-blitz
el, Orion Hod-son, Galen Hunt, James R. Larus, and Steven Levi.
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\T1/LinuxLibertineT-TLF/m/n/8 2006. Lan-guage Sup-port for Fast and Re-li-able
Message-based Com-mu-ni-ca-tion in Sin-gu-lar-ity OS. In \T1/LinuxLibertineT-T
LF/m/it/8 Pro-ceed-
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[]\T1/LinuxLibertineT-TLF/m/n/8 Cormac Flana-gan and Mart�n Abadi. 1999a. Ob-j
ect Types against Races. In \T1/LinuxLibertineT-TLF/m/it/8 CON-CUR\T1/LinuxLibe
rtineT-TLF/m/n/8 .
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[]\T1/LinuxLibertineT-TLF/m/n/8 Cormac Flana-gan and Stephen N. Fre-und. 2000.
Type-Based Race De-tec-tion for Java. In \T1/LinuxLibertineT-TLF/m/it/8 PLDI\T
1/LinuxLibertineT-TLF/m/n/8 .
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[]\T1/LinuxLibertineT-TLF/m/n/8 Cormac Flana-gan and Shaz Qadeer. 2003a. A Typ
e and Ef-fect Sys-tem for Atom-ic-ity. In \T1/LinuxLibertineT-TLF/m/it/8 Pro-ce
ed-ings of the
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[]\T1/LinuxLibertineT-TLF/m/n/8 Shin-ya Kat-sumata. 2014. Para-met-ric Ef-fect
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Pro-ceed-ings of the
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\T1/LinuxLibertineT-TLF/m/it/8 41st ACM SIGPLAN-SIGACT Sym-po-sium on Prin-ci-p
les of Pro-gram-ming Lan-guages (POPL '14)\T1/LinuxLibertineT-TLF/m/n/8 . ACM,
633--645.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Daniel Marino and Todd Mill-stein. 2009. A Gen
eric Type-and-Effect Sys-tem. In \T1/LinuxLibertineT-TLF/m/it/8 TLDI\T1/LinuxLi
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[]\T1/LinuxLibertineT-TLF/m/n/8 Kohei Sue-naga. 2008. Type-based deadlock-free
dom ver-i-fi-ca-tion for non-block-structured lock prim-i-tives
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\T1/LinuxLibertineT-TLF/m/n/8 and mu-ta-ble ref-er-ences. In \T1/LinuxLibertine
T-TLF/m/it/8 Asian Sym-po-sium on Pro-gram-ming Lan-guages and Sys-tems\T1/Linu
xLibertineT-TLF/m/n/8 . Springer, 155--170.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Roger Wolff, Ronald Gar-cia, �ric Tan-ter, and
Jonathan Aldrich. 2011. Grad-ual Type-s-tate. In \T1/LinuxLibertineT-TLF/m/it/
8 ECOOP 2011 -
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\T1/LinuxLibertineT-TLF/m/it/8 Object-Oriented Pro-gram-ming - 25th Eu-ro-pean
Con-fer-ence, Lan-caster, UK, July 25-29, 2011 Pro-ceed-ings\T1/LinuxLibertineT
-TLF/m/n/8 . 459--483.
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\T1/LinuxLibertineT-TLF/m/n/10 to rea-son about atom-ic-ity [[] []], based on L
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[]\T1/LinuxLibertineT-TLF/m/n/10 Second, it pro-vides a counter-example to a co
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\T1/LinuxLibertineT-TLF/m/n/10 ef-fect sys-tem for Con-cur-rent ML [[] []] (lat
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[]\T1/LinuxLibertineT-TLF/m/it/10 Given an ef-fect quan-tale $\LMS/ntxsy/m/n/10
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[]\T1/LinuxLibertineT-TLF/m/n/10 Closure op-er-a-tors have sev-eral par-tic-u-l
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\T1/LinuxLibertineT-TLF/m/n/10 monly used no-tions of sound-ness for \T1/LinuxL
ibertineT-TLF/m/it/10 ab-stract \T1/LinuxLibertineT-TLF/m/n/10 ef-fect sys-tems
. Most generic ef-fect sys-tems [[]
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[]\T1/LinuxLibertineT-TLF/m/n/10 . State re-mains un-changed,
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\T1/LinuxLibertineT-TLF/m/n/10 fol-lows from the fact that bi-nary re-la-tions
form an ef-fect quan-tale: $\LMS/ntxsy/m/n/10 �[]�[]� ] f[]g\OML/nxlmi/m/it/10
; \LMS/ntxsy/m/n/10 [\OML/nxlmi/m/it/10 ; \LMS/ntxsy/m/n/10 ^^N\OML/nxlmi/m/it/
10 ; []; \U/ntxmia/m/it/10 =[]
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\T1/LinuxLibertineT-TLF/m/n/10 mod-u-lar (i.e., ef-fec-tors can special-case ce
r-tain pat-terns in source code for more pre-cise ef-fects) [[]
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[]\T1/LinuxLibertineT-TLF/m/n/10 Figure [][][][][][] also gives an in-stan-ti-a
-tion of our frame-work and cor-re-spond-ing type-and-effect-preserving
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[]\T1/LinuxLibertineT-TLF/m/n/10 Marino and Mill-stein give a generic model of
a static com-mu-ta-tive ef-fect sys-tem [[]
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\T1/LinuxLibertineT-TLF/m/it/10 Types for Safe Lock-ing \T1/LinuxLibertineT-TLF
/m/n/10 [[] []] (the pre-cur-sor to \T1/LinuxLibertineT-TLF/m/sc/10 RCC/Java \T
1/LinuxLibertineT-TLF/m/n/10 [[]
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\T1/LinuxLibertineT-TLF/m/n/10 quire more so-phis-ti-cated ma-chin-ery for com-
pos-ing par-tial se-man-tic def-i-ni-tions [[]
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\T1/LinuxLibertineT-TLF/m/it/8 ings of the 19th ACM SIG-PLAN In-ter-na-tional C
on-fer-ence on Func-tional Pro-gram-ming (ICFP '14)\T1/LinuxLibertineT-TLF/m/n/
8 . ACM, 283--295.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Nick Ben-ton and Pe-ter Buchlovsky. 2007. Se-m
an-tics of an Ef-fect Anal-y-sis for Ex-cep-tions. In \T1/LinuxLibertineT-TLF/m
/it/8 TLDI\T1/LinuxLibertineT-TLF/m/n/8 .
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[]\T1/LinuxLibertineT-TLF/m/n/8 Thomas Scott Blyth. 2006. \T1/LinuxLibertineT-
TLF/m/it/8 Lat-tices and or-dered al-ge-braic struc-tures\T1/LinuxLibertineT-TL
F/m/n/8 . Springer Sci-ence & Busi-ness Me-dia.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Luis Damas and Robin Mil-ner. 1982. Prin-ci-pa
l Type-schemes for Func-tional Pro-grams. In \T1/LinuxLibertineT-TLF/m/it/8 Pro
-ceed-ings of the
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\T1/LinuxLibertineT-TLF/m/it/8 9th ACM SIGPLAN-SIGACT Sym-po-sium on Prin-ci-pl
es of Pro-gram-ming Lan-guages (POPL '82)\T1/LinuxLibertineT-TLF/m/n/8 . ACM, 2
07--212.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Mike Dodds, Xinyu Feng, Matthew Parkin-son, and
Vik-tor Vafeiadis. 2009. Deny-Guarantee Rea-son-ing. In
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\T1/LinuxLibertineT-TLF/m/it/8 Pro-ceed-ings of the 18th Eu-ro-pean Sym-po-sium
on Pro-gram-ming (ESOP)\T1/LinuxLibertineT-TLF/m/n/8 . Springer Berlin Hei-del
-berg, 363--377.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Manuel F�h-n-drich, Mark Aiken, Chris Haw-blitz
el, Orion Hod-son, Galen Hunt, James R. Larus, and Steven Levi.
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\T1/LinuxLibertineT-TLF/m/n/8 2006. Lan-guage Sup-port for Fast and Re-li-able
Message-based Com-mu-ni-ca-tion in Sin-gu-lar-ity OS. In \T1/LinuxLibertineT-T
LF/m/it/8 Pro-ceed-
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[]\T1/LinuxLibertineT-TLF/m/n/8 Cormac Flana-gan and Mart�n Abadi. 1999a. Ob-j
ect Types against Races. In \T1/LinuxLibertineT-TLF/m/it/8 CON-CUR\T1/LinuxLibe
rtineT-TLF/m/n/8 .
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[]\T1/LinuxLibertineT-TLF/m/n/8 Cormac Flana-gan and Stephen N. Fre-und. 2000.
Type-Based Race De-tec-tion for Java. In \T1/LinuxLibertineT-TLF/m/it/8 PLDI\T
1/LinuxLibertineT-TLF/m/n/8 .
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[]\T1/LinuxLibertineT-TLF/m/n/8 Cormac Flana-gan and Shaz Qadeer. 2003a. A Typ
e and Ef-fect Sys-tem for Atom-ic-ity. In \T1/LinuxLibertineT-TLF/m/it/8 Pro-ce
ed-ings of the
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[]\T1/LinuxLibertineT-TLF/m/n/8 Shin-ya Kat-sumata. 2014. Para-met-ric Ef-fect
Mon-ads and Se-man-tics of Ef-fect Sys-tems. In \T1/LinuxLibertineT-TLF/m/it/8
Pro-ceed-ings of the
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\T1/LinuxLibertineT-TLF/m/it/8 41st ACM SIGPLAN-SIGACT Sym-po-sium on Prin-ci-p
les of Pro-gram-ming Lan-guages (POPL '14)\T1/LinuxLibertineT-TLF/m/n/8 . ACM,
633--645.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Daniel Marino and Todd Mill-stein. 2009. A Gen
eric Type-and-Effect Sys-tem. In \T1/LinuxLibertineT-TLF/m/it/8 TLDI\T1/LinuxLi
bertineT-TLF/m/n/8 .
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[]\T1/LinuxLibertineT-TLF/m/n/8 Kohei Sue-naga. 2008. Type-based deadlock-free
dom ver-i-fi-ca-tion for non-block-structured lock prim-i-tives
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\T1/LinuxLibertineT-TLF/m/n/8 and mu-ta-ble ref-er-ences. In \T1/LinuxLibertine
T-TLF/m/it/8 Asian Sym-po-sium on Pro-gram-ming Lan-guages and Sys-tems\T1/Linu
xLibertineT-TLF/m/n/8 . Springer, 155--170.
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[]\T1/LinuxLibertineT-TLF/m/n/8 Roger Wolff, Ronald Gar-cia, �ric Tan-ter, and
Jonathan Aldrich. 2011. Grad-ual Type-s-tate. In \T1/LinuxLibertineT-TLF/m/it/
8 ECOOP 2011 -
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\T1/LinuxLibertineT-TLF/m/it/8 Object-Oriented Pro-gram-ming - 25th Eu-ro-pean
Con-fer-ence, Lan-caster, UK, July 25-29, 2011 Pro-ceed-ings\T1/LinuxLibertineT
-TLF/m/n/8 . 459--483.
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