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» On the Complexity of Reasoning in Kleene Algebra
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TASE
2008
IEEE
14 years 1 months ago
PDL over Accelerated Labeled Transition Systems
We present a thorough study of Propositional Dynamic Logic over a variation of labeled transition systems, called accelerated labelled transition systems, which are transition sys...
Taolue Chen, Jaco van de Pol, Yanjing Wang
DAGSTUHL
2006
13 years 9 months ago
The complexity of Boolean functions from cryptographic viewpoint
Cryptographic Boolean functions must be complex to satisfy Shannon's principle of confusion. But the cryptographic viewpoint on complexity is not the same as in circuit compl...
Claude Carlet
LICS
2002
IEEE
14 years 12 days ago
The Proof Complexity of Linear Algebra
We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We...
Michael Soltys, Stephen A. Cook
AAAI
2000
13 years 8 months ago
Disjunctive Temporal Reasoning in Partially Ordered Models of Time
Certain problems in connection with, for example, cooperating agents and distributed systems require reasoning about time which is measured on incomparable or unsynchronized time ...
Mathias Broxvall, Peter Jonsson
CSL
2010
Springer
13 years 8 months ago
Formal Theories for Linear Algebra
We introduce two-sorted theories in the style of [CN10] for the complexity classes L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then desc...
Stephen Cook, Lila Fontes