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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  <p>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?&quot;. 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).</p>\n  <p>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.</p>\n  <p>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&nbsp; the nature of pro
 ofs.</p>\n
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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