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UID:/NewsandEvents/Archives/2022/newsitem/13867/7-
December-2022-Third-Workshop-on-Proofs-Computation
-Meaning-On-the-nature-of-proofs
DTSTAMP:20220908T150107
SUMMARY:Third Workshop on Proofs, Computation & Me
aning: On the nature of proofs
DTSTART;TZID=Europe/Amsterdam:20221207T160000
DTEND;TZID=Europe/Amsterdam:20221207T180000
DESCRIPTION:Around thirty years after the fall of
Hilbert's program, the proofs-as-programs paradigm
established the view that a proof should not be i
dentified, as in Hilbert's metamathematics, with a
string of symbols in some formal system. Rather,
proofs should consist in computational or epistemi
c objects conveying evidence to mathematical propo
sitions. The relationship between formal derivatio
ns and proofs should then be analogous to the one
between words and their meanings. This view natura
lly gives rise to questions such as “which conditi
ons should a formal arrangement of symbols satisfy
to represent a proof?” or “when do two formal der
ivations represent the same proof?". These questio
ns underlie past and current research in proof the
ory both in the theoretical computer science commu
nity (e.g. categorical logic, domain theory, linea
r logic) and in the philosophy community (e.g. pro
of-theoretic semantics). In spite of these common
motivations and historical roots, it seems that t
oday proof theorists in philosophy and in computer
science are losing sight of each other. This work
shop aims at contributing to a renaissance of the
interaction between researchers with different bac
kgrounds by establishing a constructive environmen
t for exchanging views, problems and results. The
workshop series includes three events, each focus
ing on one specific aspect of proofs and their rep
resentation. To foster interaction and discussion,
each event will consists in short talks followed
by a 15 minutes slot during which participants can
engage in discussion or just take a short break.
The third workshop focuses on the nature of proof
s.
X-ALT-DESC;FMTTYPE=text/html:\n Around thirty
years after the fall of Hilbert's program, the pro
ofs-as-programs paradigm established the view that
a proof should not be identified, as in Hilbert's
metamathematics, with a string of symbols in some
formal system. Rather, proofs should consist in c
omputational or epistemic objects conveying eviden
ce to mathematical propositions. The relationship
between formal derivations and proofs should then
be analogous to the one between words and their me
anings. This view naturally gives rise to question
s such as “which conditions should a formal arrang
ement of symbols satisfy to represent a proof?” or
“when do two formal derivations represent the sam
e proof?". These questions underlie past and
current research in proof theory both in the theor
etical computer science community (e.g. categorica
l logic, domain theory, linear logic) and in the p
hilosophy community (e.g. proof-theoretic semantic
s).

\n In spite of these common motivations
and historical roots, it seems that today proof t
heorists in philosophy and in computer science are
losing sight of each other. This workshop aims at
contributing to a renaissance of the interaction
between researchers with different backgrounds by
establishing a constructive environment for exchan
ging views, problems and results.

\n The wo
rkshop series includes three events, each focusing
on one specific aspect of proofs and their repres
entation. To foster interaction and discussion, ea
ch event will consists in short talks followed by
a 15 minutes slot during which participants can en
gage in discussion or just take a short break. The
third workshop focuses on the nature of pro
ofs.

URL:http://ls.informatik.uni-tuebingen.de/pcm-onli
ne/
CONTACT:luca.tranchini at gmail.com
CONTACT:paolo.pistone at uniroma3.it
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