1,069 research outputs found
Equivalence-Checking on Infinite-State Systems: Techniques and Results
The paper presents a selection of recently developed and/or used techniques
for equivalence-checking on infinite-state systems, and an up-to-date overview
of existing results (as of September 2004)
The omega-inequality problem for concatenation hierarchies of star-free languages
The problem considered in this paper is whether an inequality of omega-terms
is valid in a given level of a concatenation hierarchy of star-free languages.
The main result shows that this problem is decidable for all (integer and half)
levels of the Straubing-Th\'erien hierarchy
On quantum vs. classical probability
Quantum theory shares with classical probability theory many important
properties. I show that this common core regards at least the following six
areas, and I provide details on each of these: the logic of propositions,
symmetry, probabilities, composition of systems, state preparation and
reductionism. The essential distinction between classical and quantum theory,
on the other hand, is shown to be joint decidability versus smoothness; for the
latter in particular I supply ample explanation and motivation. Finally, I
argue that beyond quantum theory there are no other generalisations of
classical probability theory that are relevant to physics.Comment: Major revision: key results unchanged, but derivation and discussion
completely rewritten; 33 pages, no figure
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