Rohit Jivanlal Parikh | |
---|---|
Born |
Palanpur, British India (now Gujarat, India) |
November 20, 1936
Residence | United States |
Nationality | India, United States |
Alma mater | Harvard University, PhD Mathematics, 1962; Harvard College, AB with highest honors in Physics, 1957 |
Known for | his work in recursion theory, proof theory, non-standard analysis, ultrafinitism, dynamic logic, logic of knowledge, philosophical logic, social software, Parikh's theorem. |
Awards |
William Lowell Putnam Mathematical Competition Prize Winner, 1955, 1956, 1957; William Lowell Putnam Fellow 1957; Phi Beta Kappa, Harvard 1957. Gibbs Prize, Bombay University, 1954. |
Scientific career | |
Fields | Mathematics, logic, philosophy, computer sciences, economics |
Institutions | City University of New York |
Doctoral advisor |
Hartley Rogers, Jr Burton Dreben |
William Lowell Putnam Mathematical Competition Prize Winner, 1955, 1956, 1957; William Lowell Putnam Fellow 1957; Phi Beta Kappa, Harvard 1957.
Rohit Jivanlal Parikh (born November 20, 1936) is a mathematician, logician, and philosopher who has worked in many areas in traditional logic, including recursion theory and proof theory. His catholic attitude towards logic has led to work on topics like vagueness, ultrafinitism, belief revision, logic of knowledge, game theory and social software (social procedure). This last area seeks to combine techniques from logic, computer science (especially logic of programs) and game theory to understand the structure of social algorithms. Examples of such are elections, transport systems, lectures, conferences, and monetary systems, all of which have properties of interest to those who are logically inclined.
Rohit Parikh was married from 1968 to 1994 to Carol Parikh (née Geris), who is best known for her prize-winning stories and for her influential biography of Oscar Zariski, The Unreal Life of Oscar Zariski. They have two children, Vikram (born 1969) and Uma (born 1974).
Parikh's theorem, stating that regular languages and context-free languages have the same sets of letter frequency vectors, is named after him. Among his other contributions is the introduction of bounded arithmetic and the logic of games.