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» Algebraic Theories over Nominal Sets
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LPAR
2007
Springer
16 years 5 days ago
Deciding Knowledge in Security Protocols for Monoidal Equational Theories
Abstract. In formal approaches, messages sent over a network are usually modeled by terms together with an equational theory, axiomatizing the properties of the cryptographic funct...
Véronique Cortier, Stéphanie Delaune
FOCS
2002
IEEE
15 years 11 months ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
FOSSACS
2001
Springer
15 years 10 months ago
On Regular Message Sequence Chart Languages and Relationships to Mazurkiewicz Trace Theory
Hierarchical Message Sequence Charts are a well-established formalism to specify telecommunication protocols. In this model, numerous undecidability results were obtained recently ...
Rémi Morin
BIRTHDAY
2005
Springer
15 years 11 months ago
Finite Equational Bases in Process Algebra: Results and Open Questions
Abstract. Van Glabbeek (1990) presented the linear time/branching time spectrum of behavioral equivalences for finitely branching, concrete, sequential processes. He studied these...
Luca Aceto, Wan Fokkink, Anna Ingólfsd&oacu...
JAR
2006
236views more  JAR 2006»
15 years 6 months ago
Deciding Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard