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Lower Bounds for Unambiguous Automata via Communication Complexity

Publications associées (33)

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Communication Complexity of Collision

Mika Tapani Göös, Siddhartha Jain

The Collision problem is to decide whether a given list of numbers (x_1,…,x_n) ∈ [n]ⁿ is 1-to-1 or 2-to-1 when promised one of them is the case. We show an n^Ω(1) randomised communication lower bound for the natural two-party version of Collision where Ali ...

Leibniz-Zentrum für Informatik2022

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

Florian Karl Richter

A set

R\subset \mathbb{N}

is called rational if it is well approximable by finite unions of arithmetic progressions, meaning that for every

\unicode[STIX]{x1D716}>0

there exists a set

B=\bigcup _{i=1}^{r}a_{i}\mathbb{N}+b_{i}

, where $a_{1},\ldots ,a_ ...

2019

Adventures in Monotone Complexity and TFNP

Mika Tapani Göös, Dmitrii Sokolov

Separations: We introduce a monotone variant of Xor-Sat and show it has exponential monotone circuit complexity. Since Xor-Sat is in NC^2, this improves qualitatively on the monotone vs. non-monotone separation of Tardos (1988). We also show that monotone ...

Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany2018

Control synthesis for stochastic systems given automata specifications defined by stochastic sets

Maryam Kamgarpour, John Lygeros, Tony Alan Wood

The problem of control synthesis to maximize the probability of satisfying automata specifications for systems with uncertainty is addressed. Two types of uncertainty are considered; stochasticity in the dynamical system and in the sets defining the specif ...

2017

Measuring and Synthesizing Systems in Probabilistic Environments

Barbara Jobstmann, Rishabh Singh

The traditional synthesis question given a specification asks for the automatic construction of a system that satisfies the specification, whereas often there exists a preference order among the different systems that satisfy the given specification. Under ...

Assoc Computing Machinery2015

On the Dispersions of the Gel'fand-Pinsker Channel and Dirty Paper Coding

Jonathan Mark Scarlett

This paper studies the second-order coding rates for memoryless channels with a state sequence known non-causally at the encoder. In the case of finite alphabets, an achievability result is obtained using constant-composition random coding, and by using a ...

Institute of Electrical and Electronics Engineers2015

Control design for specifications on stochastic hybrid systems

Maryam Kamgarpour

We synthesize controllers for discrete-time stochastic hybrid systems such that the probability of satisfying a given specification on the system is maximized. The specifications are defined with finite state automata. It is shown that automata satisfactio ...

2012

The Kaldi Speech Recognition Toolkit

Petr Motlicek

We describe the design of Kaldi, a free, open-source toolkit for speech recognition research. Kaldi provides a speech recognition system based on finite-state automata (using the freely available OpenFst), together with detailed documentation and a compreh ...

Idiap2012

Symbolic execution of Reo circuits using constraint automata

Hossein Hojjat

Reo is a coordination language that can be used to model different systems. We propose a technique for symbolic execution of Reo circuits using the symbolic representation of data constraints in Constraint Automata. This technique enables us to obtain the ...

2012

Randomized versus Deterministic Implementations of Concurrent Data Structures

Dan Alistarh

One of the key trends in computing over the past two decades has been increased distribution, both at the processor level, where multi-core architectures are now the norm, and at the system level, where many key services are currently distributed overmulti ...

EPFL2012