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1
Content available remote Retracts of Algebras
EN
Construction of retracts of a general algebra is described by using retracts of mono-unary algebras. Inspirational influence of the theory of Pawlak machines is mentioned.
2
Content available remote Construction of Contextual Grammars
EN
The concept of a contextual grammar is slightly generalized here; the generalized grammars called contextual hypergrammars admit to introduce the so called reducing operators. Using some results concerning these operators a construction is described assigning a contextual grammar Gn(V,L) to any language (V,L) and to any nonnegative integer n. This construction has the following property: The language (V,L) is generated by a contextual grammar if and only if there exists a nonnegative integer n0 such that Gn(V,L) = Gn0(V,L) for any > n0.
3
Content available remote On Equations Including Strings
EN
A system of equations is solved where the right side member of any equation is a known string and the left side member is formed by concatenation of some unknown strings. This problem appears in connection with the division of parts of speech into syllable segments.
4
Content available remote Construction of Pure Grammars
EN
A construction is described assigning a pure grammar G_mrn to any language and to any integers 0 < m < r < n. This construction has the following property: If the sequence (Gmrn)n > r has a limit Gmr for any r > m and if the sequence (Gmr)r > m has a limit, then the given language is generated by a pure grammar. By a limit of a sequence (ak)k >k_0 we understand a member a_k1 of the sequence such that k_1 > k_0 and a_k = a_k1 for any k > k_1.
5
Content available remote Podziemna infrastruktura miast a ekologia
PL
Doświadczenia światowe pokazują, że najbliższe lata przyniosą znaczący rozwój dziedziny działalności inzynierskiej , okreslonej pojęciem urbanistyki podziemnej. Niniejszy artykul przedstawia projekty zwiazane z budownictwem podziemnym w powiązaniu z infrastrukturą podziemną miast w aspekcie ekologii
6
Content available remote Reduction of pregrammars
EN
In pure generalized grammars were studied, in particular, the problem of reducing a pure generalized grammar to a pure grammar. These results are transferred to the so called pregrammars in the present paper. The obtained results may be applied not only to pure generalized grammars but also to other structures.
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