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2022 ALONZO CHURCH AWARD ANNOUNCEMENT

The ACM Special Interest Group on Logic (SIGLOG), the European Association for 
Theoretical Computer Science (EATCS), the European Association for Computer 
Science Logic (EACSL), and the Kurt Goedel Society (KGS) are pleased to 
announce that 

    Dexter Kozen

has been selected as the winner of the 

    2022 Alonzo Church Award for Outstanding Contributions to Logic and 
Computation

for his fundamental work on developing the theory and applications of Kleene 
Algebra with Tests, an equational system for reasoning about iterative 
programs, published in:

Kleene Algebra with Tests. ACM Transactions on Programming Languages and 
Systems 19(3): 427-443 (1997).

THE CONTRIBUTION

This work on Kleene Algebra with Tests (KAT) is one of the high points among 
remarkable contributions of Dexter Kozen to logics of programs. It is a 
culmination of a series of articles by Dexter Kozen that define and apply 
Kleene Algebra with Tests (KAT), an equational system that combines Kleene 
Algebra (the algebra of regular expressions) with Boolean Algebra (the tests). 
Together, the terms of the two algebras are capable of representing while 
programs, and their combined equational theory is capable of proving a wide 
range of important properties of programs. Although reasoning in KAT under 
arbitrary commuting conditions is undecidable, Kozen observes that when the 
commuting conditions are limited to including tests, it is decidable and in 
PSPACE. He illustrates the power of KAT with these decidable commuting 
conditions by proving a well-known folk theorem: Every while program can be 
simulated by a program with just one loop. KAT has been successfully applied to 
a variet!
 y of problems over the past 25 years, including modeling and reasoning about 
packet-switched networks.

The 2022 Church Award was selected by a jury consisting of Thomas Colcombet, 
Mariangiola Dezani, Javier Esparza, Radha Jagadeesan (chair), and Igor 
Walukiewicz.

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