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Browsing by Author "Kozen, Dexter"
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A Conversation with Dexter Kozen
Kozen, Dexter; Constable, Robert L. (InternetFirst University Press, 20150909)Kozen discusses his experiences at Cornell – his research and teaching experience, textbooks, participation in sports & music, etc. 
Decidability of Systems of Set Constraints with Negative Constraints
Aiken, Alexander; Kozen, Dexter; Wimmers, Ed (Cornell University, 199306)Set constraints are relations between sets of terms. They have been used extensively in various applications in program analysis and type inference. Recently, several algorithms for solving general systems of positive ... 
Decomposition of Algebraic Functions
Kozen, Dexter; Landau, Susan; Zippel, Richard (Cornell University, 199402)Functional decompositionwhether a function $f(x)$ can be written as a composition of functions $g(h(x))$ in a nontrivial wayis an important primitive in symbolic computation systems. The problem of univariate ... 
Definability with Bounded Number of Bound Variables
Immerman, Neil; Kozen, Dexter (Cornell University, 198703)A theory satisfies the $k$variableproperty if every firstorder formula is equivalent to a formula with at most $k$ bound variables (possibly reused). Gabbay has shown that a fixed time structure satisfies the $k$variable ... 
Eager Class Initialization for Java
Kozen, Dexter; Stillerman, Matt (Cornell University, 20010723)We describe a static analysis method on Java bytecode to determine class initialization dependencies. This method can be used for eager class loading and initialization. It catches many initialization circularities that ... 
Efficient Algorithms for Optimal Video Transmission
Kozen, Dexter; Minsky, Yaron; Smith, Brian (Cornell University, 199505)This paper addresses the problem of sending an encoded video stream over a channel of limited bandwidth. When there is insufficient bandwidth available, some data must be dropped. For many video encodings, some data are ... 
Efficient AverageCase Algorithms for the Modular Group
Kozen, Dexter (Cornell University, 199404)The modular group occupies a central position in many branches of mathematical sciences. In this paper we give average polynomialtime algorithms for the unbounded and bounded membership problems for finitely generated ... 
Efficient Code Certification
Kozen, Dexter (Cornell University, 199801)We introduce a simple and efficient approach to the certification of compiled code. We ensure a basic but nontrivial level of code safety, including control flow safety, memory safety, and stack safety. The system is ... 
Efficient Resolution of Singularities of Plane Curves
Kozen, Dexter (Cornell University, 199404)We give a new algorithm for resolving singularities of plane curves. The algorithm is polynomial time in the bit complexity model, does not require factorization, and works over the rationals or finite fields. 
Equational Verification of Cache Blocking in LU Decomposition using Kleene Algebra with Tests
Barth, Adam; Kozen, Dexter (Cornell University, 20021024)In a recent paper of Mateev et al. (2001), a new technique for program analysis called fractal symbolic analysis was introduced and applied to verify the correctness of a series of sourcelevel transformations for cache ... 
Finitely Presented Algebras and the Polynomial Time Hiercharchy
Kozen, Dexter (Cornell University, 197703)Let $S_{n}(V_{n})=\{less than \Gamma, Q_{1}v_{1}\cdots Q_{k}v_{k} s \equiv j greater than  \Gamma$ is a finite presentation of $\cal A, Q_{1} \cdots Q_{k}$ is a string of quantifiers with $n$ alterations, the outermost ... 
First Order Predicate Logic Without Negation is NPComplete
Kozen, Dexter (Cornell University, 197704)Techniques developed in the study of the complexity of finitely presented algebras are used to show that the problem of deciding validity of positive sentences in the language of first order predicate logic with equality ... 
Functional Decomposition of Polynomials
Von zur Gathen, Joachim; Kozen, Dexter; Landau, Susan (Cornell University, 198707)ABSTRACT NOT AVAILABLE 
Halting and Equivalence of Program Schemes in Models of Arbitrary Theories
Kozen, Dexter (20100519)In this note we consider the following decision problems. Let S be a fixed firstorder signature. (i) Given a firstorder theory or ground theory T over S of Turing degree A, a program scheme p over S, and input values ... 
Halting and Equivalence of Schemes over Recursive Theories
Kozen, Dexter (Cornell University, 20021028)Let S be a fixed firstorder signature. In this note we consider the following decision problems. (i) Given a recursive ground theory T over S, a program scheme p over S, and input values specified by ground terms ... 
Indefinite Summation and the Kronecker Delta
Kozen, Dexter; Timme, Marc (20071018)Indefinite summation, together with a generalized version of the Kronecker delta, provide a calculus for reasoning about various polynomial functions that arise in combinatorics, such as the Tutte, chromatic, flow, and ... 
Infinitary Axiomatization of the Equational Theory of ContextFree Languages
Grathwohl, Niels Bjørn Bugge; Henglein, Fritz; Kozen, Dexter (20130701)We give a natural complete infinitary axiomatization of the equational theory of the contextfree languages, answering a question of Leiss (1992). 
Intuitionistic Linear Logic and Partial Correctness
Kozen, Dexter; Tiuryn, Jerzy (Cornell University, 20010102)We formulate a Gentzenstyle sequent calculus for partial correctness that subsumes propositional Hoare Logic. The system is a noncommutative Intuitionistic Linear Logic. We prove soundness and completeness over relational ... 
KAT + B!
Grathwohl, Niels Bjørn Bugge; Kozen, Dexter; Mamouras, Konstantinos (20140108)It is known that certain program transformations require a small amount of mutable state, a feature not explicitly provided by Kleene algebra with tests (KAT). In this paper we show how to axiomatically extend KAT with ... 
KATML: An Interactive Theorem Prover for Kleene Algebra with Tests
AboulHosn, Kamal; Kozen, Dexter (Cornell University, 20030821)KATML is an interactive theorem prover for Kleene algebra with tests (KAT). The system is designed to reflect the natural style of reasoning with KAT that one finds in the literature. We describe the main features of ...