Titlebook: Computer Science Logic; 21 International Wor Jacques Duparc,Thomas A. Henzinger Conference proceedings 2007 Springer-Verlag Berlin Heidelbe

箴言

https://doi.org/10.1007/978-1-4614-0317-3, the star-free expressions coincide with first-order logic. Finally, we show that a concatenation hierarchy inside the expressions corresponds to the quantifier prefix hierarchy for first-order logic, generalizing a result of Thomas.

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connoisseur

Tightening the Exchange Rates Between Automatae upper and the lower bound is exponential or even larger. The article surveys several such frustrating cases, studies features that they share, and describes recent efforts (with partial success) to close the gaps.

物種起源

Forest Expressions, the star-free expressions coincide with first-order logic. Finally, we show that a concatenation hierarchy inside the expressions corresponds to the quantifier prefix hierarchy for first-order logic, generalizing a result of Thomas.

Nibble

OUTRE

Interim

愚笨

TOM

,Extensions to the Period 2002–2004, of the constraint language. We obtain new algorithmic results and give very concise proofs of previously known theorems. Our results concern well-known and heavily studied formalisms such as the point algebra and its extensions, Allen’s interval algebra, and the spatial reasoning language RCC-5.

stroke

Proofs, Programs and Abstract Complexity famous consistency proof of arithmetic [Gen35, Gen38] using transfinite induction up to (a notation of) Cantor’s ordinal .., can be viewed as the first computation of the proof theoretic ordinal of Peano Arithmetic.