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]
Arnon Avron | |
|---|---|
ארנון אברון | |
| Born | 1952 (age 71–72) |
| Nationality | Israeli |
| Alma mater | Tel Aviv University Hebrew University of Jerusalem |
| Scientific career | |
| Fields | Mathematical logic |
| Institutions | Tel Aviv University |
| Thesis | The Semantics and Proof Theory of Relevance Logics and Nontrivial Theories Containing Contradictions (1985) |
| Doctoral advisors | Haim Gaifman Yoram Hirschfeld |
Biography
editBorn 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
editAvron'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
editBooks
edit- Avron, Arnon (2001). Introduction to Discrete Mathematics (in Hebrew). Tel Aviv: Tel Aviv University Press.
- Avron, Arnon (1998). Gödel's Theorems and the Problem of the Foundations of Mathematics. Broadcast University Series (in Hebrew). Israel: Ministry of Defense Publications.
Articles
edit- 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
edit- ^ "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.