Israeli mathematician
Arnon Avron (Hebrew : ארנון אברון ; born 1952) is an Israeli mathematician and Professor at the School of Computer Science at Tel Aviv University . His research focuses on applications of mathematical logic to computer science and artificial intelligence .[ 1]
Biography
Born in Tel Aviv in 1952, Arnon Avron studied mathematics at Tel Aviv University and the Hebrew University of Jerusalem , receiving a Ph.D. magna cum laude from Tel Aviv University in 1985. Between 1986 and 1988, he was a visitor at the University of Edinburgh 's Laboratory for Foundations of Computer Science , where he began his association with computer science .[ 2]
In 1988 he became a senior faculty member of the Department of Computer Science (later School of Computer Science) of Tel Aviv University, chairing the School in 1996–1998, and becoming a Full Professor in 1999.[ 2]
Research
Avron's research interests include proof theory , automated reasoning , non-classical logics , foundations of mathematics . For example, using analytic geometry he proved the Mohr–Mascheroni theorem .[ 3] In applying mathematical logic in computer science to artificial intelligence , Avron contributed to the theory of automated reasoning with his introduction of hypersequents , a generalization of the sequent calculus .[ 4] [ 5] Avron also introduced the use of bilattices to paraconsistent logic , and made contributions to predicative set theory and geometry .[ 2]
Selected works
Books
Articles
Avron, Arnon (1996). "The method of hypersequents in the proof theory of propositional non-classical logics" (PDF) . In Hodges, Wilfrid ; Hyland, Martin ; Steinhorn, Charles; Truss, John (eds.). Logic: From Foundations to Applications . New York: Clarendon Press. pp. 1–32. ISBN 978-0-19-853862-2 .
Avron, Arnon; Honsell, Furio; Mason, Ian A.; Pollack, Robert (1992). "Using typed lambda calculus to implement formal systems on a machine". Journal of Automated Reasoning . 9 (3): 309–354. doi :10.1007/BF00245294 . S2CID 2528793 .
Avron, Arnon (1991). "Natural 3-valued logics—characterization and proof theory". The Journal of Symbolic Logic . 56 (1): 276–294. CiteSeerX 10.1.1.638.9332 . doi :10.2307/2274919 . JSTOR 2274919 . S2CID 15084999 .
Avron, Arnon (1991). "Hypersequents, logical consequence and intermediate logics for concurrency". Annals of Mathematics and Artificial Intelligence . 4 (3–4): 225–248. doi :10.1007/BF01531058 . S2CID 9610134 .
Avron, Arnon (1988). "The semantics and proof theory of linear logic". Theoretical Computer Science . 57 (2–3): 161–184. CiteSeerX 10.1.1.29.9 . doi :10.1016/0304-3975(88)90037-0 .
References
^ "Arnon Avron" . Tel Aviv University . Retrieved 19 February 2019 .
^ a b c Arieli, Ofer; Konikowska, Beata; Rabinovich, Alexander; Zamansky, Anna (2016). "Foreword". Journal of Logic and Computation . 2 (1): 1–6. doi :10.1093/logcom/ext023 .
^ Arnon Avron (1990) "On strict strong constructibility with a compass alone" , Journal of Geometry 38: 12.
^ Avron, Arnon (1996). "The method of hypersequents in the proof theory of propositional non-classical logics" (PDF) . In Hodges, Wilfrid ; Hyland, Martin ; Steinhorn, Charles; Truss, John (eds.). Logic: From Foundations to Applications . New York: Clarendon Press. pp. 1–32. ISBN 978-0-19-853862-2 .
^ Avron, Arnon (1991). "Hypersequents, logical consequence and intermediate logics for concurrency". Annals of Mathematics and Artificial Intelligence . 4 (3–4): 225–248. doi :10.1007/BF01531058 . S2CID 9610134 .
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