By Petr Hájek (auth.), Georg Gottlob, Etienne Grandjean, Katrin Seyr (eds.)
This ebook constitutes the strictly refereed post-workshop lawsuits of the twelfth foreign Workshop on computing device technology good judgment, CSL '98, held because the Annual convention of the ecu organization on computing device technology good judgment in Brno, Czech Republic in August 1998.
The 25 revised complete papers provided have been rigorously reviewed and chosen in the course of rounds of reviewing and revision. additionally incorporated are 3 reviewed invited papers. The papers span the complete scope of laptop technology good judgment and mathematical foundations and symbolize the state-of-the-art within the sector.
Read Online or Download Computer Science Logic: 12th International Workshop, CSL’98, Annual Conference of the EACSL, Brno, Czech Republic, August 24-28, 1998. Proceedings PDF
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Additional resources for Computer Science Logic: 12th International Workshop, CSL’98, Annual Conference of the EACSL, Brno, Czech Republic, August 24-28, 1998. Proceedings
Fl R1 , . . , Rm ∀x ϕ, where the Ri are unary relation symbols. Maass et al.  have shown that with 3 pushdown tapes such machines are more powerful than with 2 pushdown tapes. , pushdown automata). Hence, by restricting the number of quantified functions, we get a strict three-level hierarchy whose levels are induced by one function, two functions and at least three functions, respectively. There is a natural candidate for the separation between NTIME(n) and NLIN. Let U = (u1 , . . , un ) and V = (v1 , .
3. Logical characterizations of complexity classes by fragments of ESO logic (left diagram) and separations between sublogics of ESO (right diagram. The underlying structures are graphs (left) and strings (right). (UnF ≡ unary Functions, NcF ≡ non-crossing functions, (∀) ≡ 1 universal fo-quantifier) 6 Conclusion Figure 3 summarizes some of the mentioned logical characterizations of complexity classes and non-expressibility results. We tried to demonstrate that descriptive complexity is able to characterize even fine-grained differences between complexity classes.
24 4. Sanjeev Arora and Ronald Fagin. On winning strategies in Ehrenfeucht–Fra¨ıss´e games. Theoretical Computer Science, 174(1–2):97–121, 1997. 24 5. Theodore Baker, John Gill, and Robert Solovay. Relativizations of the P =? N P question. SIAM Journal on Computing, 4(4):431–442, December 1975. 9 6. Ronald V. Book and Sheila A. Greibach. Quasi-realtime languages. Mathematical System Theory, 4(2):97–111, 1970. 20 7. R. B¨ uchi. Weak second-order arithmetic and finite automata. Z. Math. , 6:66–92, 1960.