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Juris Hartmanis

Juris Hartmanis is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Juris Hartmanis rather than just read about it. In short: Juris Hartmanis (July 5, 1928 – July 29, 2022) was a Latvian-born American computer scientist and computational theorist who, with Richard E. Stearns, received the 1993 ACM Turing Award "in recognition of their seminal paper which established the foundations for the field of computational complexity theory".

Juris Hartmanis — main illustration
Juris Hartmanis — illustration

Key takeaways

  • Juris Hartmanis belongs to astronomy; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Juris Hartmanis to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Juris Hartmanis from memory before moving on to harder problems.

Reference excerpt

Juris Hartmanis (July 5, 1928 – July 29, 2022) was a Latvian-born American computer scientist and computational theorist who, with Richard E. Stearns, received the 1993 ACM Turing Award "in recognition of their seminal paper which established the foundations for the field of computational complexity theory".

Life and career Hartmanis was born in Latvia on July 5, 1928. He was a son of Mārtiņš Hartmanis, a general in the Latvian Army, and Irma Marija Hartmane. He was the younger brother of the poet Astrid Ivask. After the Soviet Union occupied Latvia in 1940, Mārtiņš Hartmanis was arrested by the Soviets and died in prison. Later in World War II, the wife and children of Mārtiņš Hartmanis left Latvia in 1944 as refugees, fearing for their safety if the Soviet Union took over Latvia again. They first moved to Germany, where Juris Hartmanis received the equivalent of a master's degree in physics from the University of Marburg. He then moved to the United States, where in 1951 he received a master's degree in applied mathematics at the University of Kansas City (now known as the University of Missouri–Kansas City) and in 1955 a Ph.D. in mathematics from Caltech under the supervision of Robert P. Dilworth. The University of Missouri–Kansas City honored him with an Honorary Doctor of Humane Letters in May 1999. After teaching mathematics at Cornell University and Ohio State University, Hartmanis joined the General Electric Research Laboratory in 1958. While at General Electric, he developed many principles of computational complexity theory. In 1965, he became a professor at Cornell University. He was one of the founders and the first chair of its computer science department (which was one of the first computer science departments in the world). Hartmanis contributed to national efforts to advance computer science and engineering (CS&E) in many ways. Most significantly, he chaired the National Research Council study that resulted in the 1992 publication Computing the Future – A Broad Agenda for Computer Science and Engineering, which made recommendations based on its priorities to sustain the core effort in CS&E, to broaden the field, and to improve undergrad education in CS&E. He was assistant director of the National Science Foundation (NSF) Directorate of Computer and Information Science and Engineering (CISE) from 1996 to 1998. In 1989, Hartmanis was elected as a member into the National Academy of Engineering for fundamental contributions to computational complexity theory and to research and education in computing. He was a Fellow of the Association for Computing Machinery and of the American Mathematical Society, also a member of the National Academy of Sciences. He was also a foreign member of the Latvian Academy of Sciences, which bestowed him their Grand Medal in 2001 for his contributions to computer science. Hartmanis died on July 29, 2022.

Computational complexity: foundational contributions In 1993, Hartmanis and R.E. Stearns received the highest prize in computer science, the Turing Award. The citation reads, "In recognition of their seminal paper which established the foundations for the field of computational complexity theory." Their paper defined the foundational notion of a Complexity class, a way of classifying computational problems according to the time required to solve them. They went on to prove a number of fundamental results such as the Time hierarchy theorem. In his own Turing Award lecture, Richard M. Karp remarks that "[I]t is the 1965 paper by Juris Hartmanis and Richard Stearns that marks the beginning of the modern era of complexity theory." With P.M. Lewis II, Hartmanis and Stearns also defined complexity classes based on space usage. They proveded the first space hierarchy theorem. In the same year they also proved that every context-free language has deterministic space complexity (log n)2, which contained the essential idea that led to Savitch's theorem on space complexity. Hartmanis continued to make significant contributions to the field of computational complexity for decades. With Leonard Berman, he proved that all natural NP-complete languages are polynomial-time isomorphic and conjectured that this holds for all NP-complete sets. Although the conjecture itself remains open, it has led to a large body of research on the structure of NP-complete sets, culminating in Mahaney's theorem on the nonexistence of sparse NP-complete sets. He and his coauthors also defined the Boolean hierarchy. Hartmanis's 1981 article gives a personal account of developments in this area and in automata theory and discusses the underlying beliefs and philosophy that guided his research. The book written in honor of his 60th birthday, in particular, the chapter by Stearns, is a valuable resource on computational complexity. In the late 1980s, Hartmanis's exposition on a newly discovered letter dated 20 March 1956 from Gödel to von Neumann brought fresh insight into the early history of computational complexity before his landmark paper with Stearns, touching on interactions among Turing, Gödel, Church, Post, and Kleene. Gödel, in this letter, was the first to question whether a problem equivalent to an NP-complete problem could be solved in quadratic or linear time, presaging the P = NP? question.

Awards Fellow, American Association for the Advancement of Science (AAAS), 1981 Member, National Academy of Engineering, 1989 Member (foreign): Latvian Academy of Sciences, 1990 Member, American Academy of Arts and Sciences, 1992 ACM Turing Award 1993 Humboldt Foundation Research Award, 1993 Charter Fellow, ACM, 1994 Honorary Doctor of Humane Letters, 1999 Computing Research Association (CRA) Distinguished Service Award, 2000 Grand Medal of the Latvian Academy of Sciences, 2001 ACM Distinguished Service Award, 2013 Inaugural Fellow, American Mathematical Society, 2013 Member, National Academy of Sciences, 2013

Selected publications Books

Selected articles

Interviews Juris Hartmanis has been interviewed four times. Videos are available for two of them. The most far-reaching one is by William Aspray.

William Aspray interviews Hartmanis for the ACM Oral History interviews, 2009 David Gries interviews Hartmanis for the Cornell ecommons collection, 2010 Len Shustek interviews Hartmanis in an article in Communications of the ACM, 2015 David Gries interviews Hartmanis as ACM Turing Award recipient, 2018

References

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Illustrations

Juris Hartmanis illustration

Worked examples

Example 1 — a first encounter with Juris Hartmanis

Start with the simplest possible case. Write down what Juris Hartmanis claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Juris Hartmanis before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Juris Hartmanis ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Juris Hartmanis

In research
Juris Hartmanis appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Juris Hartmanis in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Juris Hartmanis is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1928 births, 2022 deaths, 20th-century American engineers, so understanding it makes those chapters shorter.
In everyday life
Look for Juris Hartmanis outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Juris Hartmanis in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Juris Hartmanis means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Juris Hartmanis out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Juris Hartmanis in simple terms?

Juris Hartmanis (July 5, 1928 – July 29, 2022) was a Latvian-born American computer scientist and computational theorist who, with Richard E. Stearns, received the 1993 ACM Turing Award "in recognition of their seminal paper which established the foundations for the field of computational complexit…

Why does Juris Hartmanis matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Juris Hartmanis?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Juris Hartmanis.

Tags

  • 1928 births
  • 2022 deaths
  • 20th-century American engineers
  • 20th-century American scientists
  • American theoretical computer scientists
  • California Institute of Technology alumni
  • Cornell University faculty
  • Fellows of the American Mathematical Society
  • Fellows of the Association for Computing Machinery
  • Latvian World War II refugees
  • Latvian emigrants to the United States
  • Marburg University alumni

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