Luosto. Almost everywhere equivalence of logics in finite model theory. Bulletin of Symbolic Logic 2, 422–443, 1996. Article MathSciNet MATH Google Scholar L. Hella, L. Libkin, and Y. Nurmonen. Notions of locality and their logical characterizations over finite models. Journal of Symbolic...
But this is hard to rewrite in a way that makes the equivalence between (iii) and (iv) on that list easy to see. It can be expressed as an implication [tex]m\in M\Rightarrow \exists m_0 (m_0\in M \land |m_0|<\infty)[/tex] but to rewrite this as "[itex]\lnot B\Righ...
In this note we outline the classification indicating that there are only 406 nonempty such classes. The classification makes the enumeration of all bases (up to the equivalence) of three-valued logical functions feasible. We show that the maximal number of functions of a base is 6. In the ...
The traces of our framework are discrete: if two worlds are adjacent then there is no other world between them. We write Θ for the set of all possible traces of the system. To go back and forth from time instants and worlds, we define the following mappings, which are illustrated in ...
‘Wang’ tiles4, a process that emulates the operation of a Turing machine. Macroscopic self-assembly has been used to perform computations5; there is also a logical equivalence between DNA sticky ends and Wang tile edges6,7. This suggests that the self-assembly of DNA-based tiles could be...
A simulation challenge occurs when judging the equivalence between FSMs because NFSMs can capture the dynamic evolutions of the systems beyond the language recognized by DFSMs. Thus we must study the bi-simulation relationship and isomorphic between DFSMs and nondeterministic FSMs by establishing the ...
The ordinary Boolean logic of subsets has a dual logic of partitions [2] since partitions (=equivalence relations = quotient sets) are category-theoretically dual to subsets. Just as the quantitative version of subset logic is the notion of logical finite probability, so the quantitative version ...