Results 21 to 30 of about 887,077 (234)

Unification and Logarithmic Space [PDF]

open access: yesLogical Methods in Computer Science, 2018
We present an algebraic characterization of the complexity classes Logspace and Nlogspace, using an algebra with a composition law based on unification.
Clément Aubert, Marc Bagnol
doaj   +1 more source

Build your own clarithmetic I: Setup and completeness [PDF]

open access: yesLogical Methods in Computer Science, 2017
Clarithmetics are number theories based on computability logic (see http://www.csc.villanova.edu/~japaridz/CL/ ). Formulas of these theories represent interactive computational problems, and their "truth" is understood as existence of an algorithmic ...
Giorgi Japaridze
doaj   +1 more source

Bounded degree and planar spectra [PDF]

open access: yesLogical Methods in Computer Science, 2017
The finite spectrum of a first-order sentence is the set of positive integers that are the sizes of its models. The class of finite spectra is known to be the same as the complexity class NE.
Anuj Dawar, Eryk Kopczyński
doaj   +1 more source

Adventures in time and space [PDF]

open access: yesLogical Methods in Computer Science, 2007
This paper investigates what is essentially a call-by-value version of PCF under a complexity-theoretically motivated type system. The programming formalism, ATR, has its first-order programs characterize the polynomial-time computable functions, and its
Norman Danner, James S. Royer
doaj   +1 more source

On tractability and congruence distributivity [PDF]

open access: yesLogical Methods in Computer Science, 2007
Constraint languages that arise from finite algebras have recently been the object of study, especially in connection with the Dichotomy Conjecture of Feder and Vardi.
Emil Kiss, Matthew Valeriote
doaj   +1 more source

The Complexity of Infinite Computations In Models of Set Theory [PDF]

open access: yesLogical Methods in Computer Science, 2009
We prove the following surprising result: there exist a 1-counter B\"uchi automaton and a 2-tape B\"uchi automaton such that the \omega-language of the first and the infinitary rational relation of the second in one model of ZFC are \pi_2^0-sets, while ...
Olivier Finkel
doaj   +1 more source

Coinductive Proof Principles for Stochastic Processes [PDF]

open access: yesLogical Methods in Computer Science, 2007
We give an explicit coinduction principle for recursively-defined stochastic processes. The principle applies to any closed property, not just equality, and works even when solutions are not unique.
Dexter Kozen
doaj   +1 more source

Applications of Metric Coinduction [PDF]

open access: yesLogical Methods in Computer Science, 2009
Metric coinduction is a form of coinduction that can be used to establish properties of objects constructed as a limit of finite approximations. One can prove a coinduction step showing that some property is preserved by one step of the approximation ...
Dexter Kozen, Nicholas Ruozzi
doaj   +1 more source

Noncomputable functions in the Blum-Shub-Smale model [PDF]

open access: yesLogical Methods in Computer Science, 2011
Working in the Blum-Shub-Smale model of computation on the real numbers, we answer several questions of Meer and Ziegler. First, we show that, for each natural number d, an oracle for the set of algebraic real numbers of degree at most d is insufficient ...
Wesley Calvert   +2 more
doaj   +1 more source

Barriers in Concurrent Separation Logic: Now With Tool Support! [PDF]

open access: yesLogical Methods in Computer Science, 2012
We develop and prove sound a concurrent separation logic for Pthreads-style barriers. Although Pthreads barriers are widely used in systems, and separation logic is widely used for verification, there has not been any effort to combine the two.
Aquinas Hobor, Cristian Gherghina
doaj   +1 more source

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