Rajeev Alur is an American professor of computer science at the University of Pennsylvania who has made contributions to formal methods, programming languages, and automata theory, including notably the introduction of timed automata (Alur and Dill, 1994) and nested words (Alur and Madhusudan, 2004).

Prof. Alur was born in Pune. He obtained his bachelor's degree in computer science from the Indian Institute of Technology Kanpur in 1987, and his Ph.D. in computer science from Stanford University in 1991. Before joining the University of Pennsylvania in 1997, he was with the Computing Science Research Center at Bell Laboratories. His research has included formal modeling and analysis of reactive systems, hybrid systems, model checking, software verification, design automation for embedded software, and program synthesis. He is a Fellow of the ACM,^[1] a Fellow of the IEEE, and has served as the chair of ACM SIGBED (Special Interest Group on Embedded Systems). He holds the title of Zisman Family Professor at UPenn since 2003.^[2]

Over the past thirty years, Alur has introduced several novel models of computation that provide the theoretical foundations for analysis, design, synthesis, and verification of computer systems. While rooted in algorithms and logic, his research, with over 52,000 citations, has found applications in control theory, cyber-physical systems, multi-agent systems, and program synthesis. The specific contributions listed below are highlights of his high-impact, seminal contributions to the foundations of computer science, for which he is recognized with the 2024 Knuth Prize.

Timed Automata: Classical model checking was developed for the analysis of finite-state discrete systems. In a ground breaking paper in ICALP 1991, Alur and Dill introduced an extension of automata with continuous timers. They proposed an algorithm to analyze the resulting infinite-state systems by introducing a novel notion of time-abstract bisimulation for algorithmic construction of finite-state quotients. This framework of timed automata has become the standard formal model for real-time systems inspiring a lot of research in specification logics, verification algorithms, formal language theory, and control theory. Problems such as "does a communication protocol deadlock?" and "synthesize the most general controller to maintain safety", in the presence of timing constraints, can be formulated and solved using decision problems on timed automata. These algorithms have been implemented in many tools and applied to debugging real-world examples. Their work on timed automata is one of the most highly cited papers in theoretical computer science: the TCS’95 journal version has now over 10K citations. For this work, Alur and Dill were awarded the inaugural Computer-Aided Verification (CAV) award in 2008 and the inaugural Alonzo Church Award for outstanding contributions in logic and computation in 2016.

Real-time Temporal Logics: A related line of research concerns extensions of temporal logics to specify real-time requirements. This work provides a foundational study of different variants based on the modalities used (branching time versus linear-time), the underlying semantics for time (dense versus discrete), and the primitives allowed in syntax for expressing timing constraints. In a sequence of papers, Alur and coauthors identified the syntactic and semantic restrictions necessary for decidability and developed optimal model-checking algorithms whenever possible. Important articles in this series include "Model checking of real-time systems" [Alur, Courcoubetis, Dill; LICS’90 and I&C’93; winner of LICS Test-of-Time Award in 2010]; "A really temporal logic" [Alur and Henzinger; FOCS’89 and JACM’94] and "Benefits of relaxing punctuality” [Alur, Feder, Henzinger; PODC’91 and JACM’96].

Hybrid Automata: Embedded systems, such as controllers in automotive, medical, and avionics systems, consist of a collection of interacting software modules reacting to and controlling an analog environment. The discipline of hybrid systems that combines the discrete and continuous modeling principles is proving to be crucial in systematic design and analysis of safety-critical embedded systems. Alur’s work, in collaboration with Henzinger, introducing "hybrid automata" and symbolic verification algorithms for hybrid automata, was the first to formalize the computation model for hybrid systems, and led to the development of model checkers for hybrid systems. This work shows how symbolic algorithms manipulating polyhedra can be effectively used for analysis of differential equations and inspired a substantial amount of follow-up research both in the formal methods and control-theory communities. Highly influential papers include “The algorithmic analysis of hybrid systems" [TCS’95 ], “Automatic symbolic verification of embedded systems" [TSE’96], and “Discrete abstractions of hybrid systems” [Proc. IEEE, 2000]. The modeling concepts in hybrid automata have been incorporated in industrial standard modeling tools such as Simulink, Modelica, and LabVIEW.

Strategic Reasoning for Multi-agent Systems: Alternating-time Temporal Logic (ATL) [Alur, Henzinger, Kupferman; FOCS’97 and JACM’02] is a strategic-theoretic language for specifying and reasoning about the objectives of individual agents and teams of agents from a game-theoretic perspective. This work provides a rigorous analysis of decidability and complexity for different logical fragments based on the nature of interaction among agents (synchronous vs asynchronous) and observability. Reactive Modules [Alur and Henzinger; LICS’96 and FMSD’99] is an executable and compositional modeling formalism to formally describe the interaction between multiple heterogeneous components supported by assume-guarantee rules for reasoning. These papers were the catalyst for extensive research on game-theoretic view for design and analysis of multi-agent systems in formal verification, control theory, and AI planning. The JACM’02 ATL paper won the AAMAS Influential Paper Award in 2021.

Visibly-Pushdown Languages: Alur and Madhusudan introduced the model of “Nested words" for representation of data with both a linear order and a hierarchically nested matching of items [“Visibly pushdown languages'', STOC’04 and JACM’09]. Nested words generalize both words and ordered trees and allow both word and tree operations. Nested-word automata (also known as Visibly-Pushdown Automata), are finite-state acceptors defining the class of regular languages of nested words. This class has most of the appealing theoretical properties that the classical regular word languages enjoy. For example, deterministic nested word automata are as expressive as their nondeterministic counterparts; the class is closed under many operations; membership, emptiness, language inclusion, and language equivalence are all decidable; and definability in monadic second order logic corresponds exactly to finite-state recognizability. This theory provides a new basis for algorithmic verification of structured programs: instead of viewing the program as a context-free language over words, one can view it as a regular language of nested words, and this allows model checking of many properties (such as stack inspection) that are not expressible in existing specification logics leading to new program analysis tools.

Program Synthesis: Alur and collaborators introduced the problem of syntax-guided synthesis—now known as SyGuS, along with search-based algorithmic solutions, as a unifying framework for synthesizing program fragments that meet logical specifications [“Syntax Guided Synthesis”, FMCAD’13]. This paradigm was a core contribution of the NSF Expeditions in Computing project ExCAPE led by Alur. Search-based program synthesis is now a mainstream foundational topic in programming languages with an annual competition of solvers, leading to end-user programming tools being developed at companies such as AWS, Google, and Microsoft.

Leadership, Education, and Mentoring: Prof. Alur is a senior leader in the areas of formal methods and logic in computer science and has served as program and/or general chairs of prominent conferences such as LICS, CAV, and FLoC. He has also played a crucial role in establishing cyber-physical systems (CPS) as a distinct academic discipline at the intersection of control theory, embedded software, and formal methods. He (co)chaired early meetings on this topic — hybrid systems workshop (1995), EMSOFT (2003), and HSCC (2004), and served as the General Chair of the newly formed ACM Special Interest Group in Embedded Systems (SIGBED). He is the author of the textbook “Principles of Cyber-physical Systems” [MIT Press, 2015]. Formal methods for CPS have now found acceptance in tools and applications at industries such as Mathworks and Toyota. Alur has advised 45 doctoral and post-doctoral students. Notable alumni include S. Bansal (Georgia Tech), P. Černý (TU Vienna), S. Chaudhuri (UT Austin), L. D’Antoni (Wisconsin), J. Deshmukh (USC), R. Grosu (TU Vienna), K. Mamouras (Rice), M. Parthasarathy (UIUC), M. Raghothaman (USC), C. Stanford (UC Davis), A. Trivedi (Colorado), and B.-Y. Wang (Academia Sinica, Taiwan).Knuth Prize

• A CAREER award from the US National Science Foundation.^[3]
• The 2008 Computer Aided Verification Award for fundamental contributions to the theory of real-time systems verification (with David Dill).^[4]
• The 2010 LICS (IEEE Symposium on Logic in Computer Science) Test-of-Time award for the 1990 paper "Model-checking for real-time systems" (with David Dill and Costas Courcoubetis).^[5]
• The 2016 Alonzo Church Award with David Dill "for their invention of timed automata, a decidable model of real-time systems, which combines a novel, elegant, deep theory with widespread practical impact."^[6]
• The 2024 Knuth Prize for "outstanding contributions to the foundations of computer science for his introduction of novel models of computation which provide the theoretical foundations for analysis, design, synthesis, and verification of computer systems"^[7]

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