Reference-request is used when the author needs to know about work related to the question.

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13 views

minimum energy broadcasting in wireless networks references request

I am currently doing a survey on "Minimum energy broadcasting in wireless networks". I am specifically looking into heuristics like Broadcast Incremental Power algorithm and its variants. Please ...
5
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1answer
55 views

Quanitifier Free Presburger Arithmetic: Upper bound on solution size?

DISCLAIMER: I had originally posted this to CS.SE, but I've deleted it and moved it here, since it received little attention, and I think it is a research level question. According to this paper, if ...
3
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1answer
143 views

Array-like data structure with O(1) worst-case concatenate/join?

I am looking for a data structure $D$ which supports the following operations (preferably a (binary) tree-like structure): $D$ is indexed, i.e. there is a mapping from $\{1, \ldots, n\}$ to items ...
0
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0answers
32 views

reported cases of pseudo random number generator biasing results

occasionally students ask about the theory of (pseudo) random number generators. it occurred to me it would be helpful to know significant reported cases where "not random enough" PRNGs were found to ...
0
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0answers
17 views

Compact encoding of sudoku puzzles [migrated]

I just "renewed" my password after a two-year absence (Jan. 2013). I answered the question re "minimum number of bits require to store a Sudoku puzzle" by describing a program implementation. I have ...
1
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0answers
39 views

Reference on cryptography methods

I'm looking for a good reference, possibly a survey, on the different types of cryptography methods. As far as I understand, the security of a cryptographic method depends on some hardness ...
7
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1answer
128 views

Reference for the fact that (0=1) implies false requires a universe in MLTT

It's a fairly well-known fact that deriving a contradiction from a disequality (for example, $(0=1) \to \bot$) in Martin-Loef type theory requires a universe. The proof is also fairly ...
4
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1answer
151 views

Graph theoretic restriction to Proofs in Proof Complexity Theory

Proof complexity is a most basic area of computational complexity theory. An ultimate purpose of this area is to prove $NP\neq coNP$, that is, any prover cannot give a proof of unsatisfiability of ...
6
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1answer
116 views

Complexity results about locally bipartite graphs

A graph is locally bipartite if the open neighborhood of every vertex induces a bipartite graph. (According to searches the same name might be used for something else related to surfaces). Which ...
3
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0answers
76 views

Reconstruction of sparse vectors from random matrices

In the paper [A], the following linear algebra result (Lemma 5 in [A]) is stated as being well known. Note that a vector is $s$-sparse if it contains at most $s$ non-zero entries. Lemma: Let $1 ...
3
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0answers
113 views

Equivalence of deterministic finite transducers over finite/infinite words

Equivalence of deterministic finite transducers - a special case of single-valued finite transducers - is decidable because it is decidable whether a transducer is single-valued. Note that two ...
2
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1answer
46 views

Promise Variant of Set-Packing

An instance of the SET-PACKING problem is given by a list of sets $\mathcal{S} = \{S_1,\dots,S_m\} \subseteq 2^U$. It is a ``yes'' instance iff there exists some subset $\mathcal S'$ of $\mathcal S$ ...
3
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2answers
233 views

computing maximal bit density over a FSM

let $L$ be a regular language defined by a FSM over binary symbols $\{0,1\}$. consider a function $f(x)$ on words/ strings that computes "bit density", defined as the number of $1$'s in a word ...
1
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0answers
120 views

Looking for reference on NP-Completeness of proofs of length n

Given a deductive system $\Lambda$, and some well-formed-formula S, one can ask the question "Is there a proof S in $\Lambda$ of length n?" If n is presented in base-1 and if all the axioms of ...
10
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1answer
184 views

Hartmanis-Stearns conjecture and the computable transcendental numbers

In the 1965 article "On the computational complexity of algorithms" by Hartmanis and Stearns, the authors conjecture that if a real-time Turing Machine computes the real number $r$ in, for example, ...
2
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1answer
93 views

minimal finite automata given in-words and out-words

this seems an interesting FSM optimization problem; have not seen it studied, wondering if it has been and/ or looking for other insight. given: two finite sets of words $S_{in}$ and $S_{out}$. ...
2
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1answer
61 views

Lower bounds and impossibility results for distributed transactions

I am studying on distributed transactions, mainly on the correctness criteria (e.g., serializability (SR) and snapshot isolation (SI) in replicated settings) and their implementations. To avoid ...
7
votes
1answer
86 views

Extensional characterization of non-deterministic finite state transductions

I recently became aware of the rather appealing characterization of deterministic word-to-word transductions as word functions with bounded variation (see e.g. [1]). This coincides with the set of ...
13
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1answer
293 views

“Snake” reconfiguration problem

While writing a small post on the complexity of the videogames Nibbler and Snake; I found that they both can be modeled as reconfiguration problems on planar graphs; and it seems unlikely that such ...
10
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2answers
432 views

Lower bound on estimating $\sum_{k=1}^n a_k$ for non-increasing $(a_k)_k$

I'd like to know (related to this other question) if lower bounds were known for the following testing problem: one is given query access to a sequence of non-negative numbers $a_n \geq \dots\geq a_1$ ...
7
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1answer
136 views

What are the major research issues in distributed transactions?

Background: Transaction processing has been a traditional research topic in database theory. Nowadays distributed transactions are popularized by the large-scale distributed storage systems which ...
0
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2answers
104 views

Where can I find the proof of the theorem and what is the computational complexity of the computably isomorphic map?

"any two representations of reals which are acceptable are actually computably isomorphic",please see here for reference where may proof of this theorem be found, and what is the the computational ...
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1answer
60 views

For two representations of finite length of one computable number are there $P$-time algorithms that compute one from another

Any computable number may have different representations of finite length . For example,$\sqrt{2}$ may be represented as root of equation, or as a (shortest for a universal Turing Machine)program of ...
0
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0answers
36 views

What are the differences between data partition and data replication regarding distributed transaction?

For a large-scale distributed database (or storage) system, data is often partitioned (wiki) (a.k.a sharding) and/or replicated (wiki) across different nodes. Roughly speaking, data partition splits ...
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1answer
117 views

Reference for unpublished but quoted manuscript

Is there a place to locate the reference "[Smi88] D. V. Smirnov, ``Shannon's Information Methods for Lower Bounds for Probabilistic Communication Complexity,'' Master's thesis, Moscow University, ...
8
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2answers
149 views

Understanding graph minor theorem

This question is two-fold, and is mainly reference-oriented: Is there somewhere where the main intuitions for proving graph minor theorem are given, without going too much into the details? I know ...
1
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0answers
70 views

What is the name of this data structure? (hash table with a limit on the number of entries)

Denote $[n] \triangleq \{1,2,\ldots,n\}$. Assume we would like to have a data structure $S$ which kinda works as a dictionary from $[k]$ to $[v]$, and supports add/remove/update/query functionality, ...
7
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2answers
210 views

Enumerating Planar Graphs of Bounded Treewidth

I am looking for references for the following problem: given integers $n$ and $k$, enumerate all non-isomorphic planar graphs on $n$ vertices and treewidth $\leq k$. I'm interested both in theoretical ...
4
votes
2answers
160 views

Flat vs non-flat domains

My understanding is that, more often than not, when people use domain theory for higher-type computability or the denotational semantics of functional programming languages, they tend to prefer flat ...
4
votes
1answer
150 views

Is it decidable that a computable analytic function over $\mathbb{R,C} ,$ equals $0$

Is it decidable whether a computable analytic function $f(x_1,x_2,\dots,x_n)$ over $\mathbb{R}$, $\mathbb{C}$ in a semi-algebraic or semi-analytic domain is identically zero? Is there any algorithm? ...
10
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2answers
215 views

How to judge the definition of computational complexity of reals is natural or suitable?

As we know, definition of computational complexity of algorithm is almost without controversy, but the definition of computational complexity of reals or the computation models over reals is not in ...
5
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2answers
92 views

Can real-time deterministic multicounter automata recognize the marked palindrome language?

Consider the marked palindrome language which is defined as MPAL=$\{ w\#w^r | w \in \{a,b\}^* \}$. It is easy to recognize MPAL using only a single stack. My question is whether MPAL can be ...
3
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0answers
74 views

Presburger Arithmetic Decision Procedures

What are good textbook references for Presburger Arithmetic decision procedures?
10
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1answer
386 views

Decide the existence of a string homomorphism

Consider the following problem: Given two strings x,y, decide whether there exists a string homomorphism f such that f(x)=y. It is easy to show that this problem is in $NP$. Are there other ...
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0answers
142 views

intuition that VP=?VNP is (not?) connected to P=?NP

recently there has been major progress into the VP=?VNP problem for algebraic circuits originated by Valiant, inspiring some optimistic outlook on its eventual or imminent resolution.[1] what is ...
8
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2answers
344 views

Looking for Literature Source for Following idea

I am quite certain that I am not the first to entertain the idea that I am going to present. However, it would be helpful if I can find any literature related to the idea. The idea is to construct a ...
4
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1answer
150 views

Explaining computer science algorithms/concepts/ideas using metaphors

Recently I found an interesting algorithm book entitled 'Explaining Algorithms Using Metaphors' (Google books) by Michal Forišek and Monika Steinová. "Good" metaphors help people understand and even ...
13
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2answers
474 views

Long-Standing Conjectures later trivially proved by an implication

I'd like to know if there have been conjectures that have long been unproven in TCS, that were later proven by an implication from another theorem, that may have been easier to prove.
6
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1answer
146 views

Pseudorandom generators indistinguishable by uniform deterministic adversaries

I've seen pseudorandom generators defined for nonuniform efficient adversaries, or uniform probabilistic efficient adversaries. (For example, a monograph Pseudorandomness by Vadhan (here's its draft ...
6
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1answer
121 views

Are there presentations of set theory in terms of lambda-calculus?

I am planning to implement in software a set theory language, based on a binary function, which in set theory is the so called adjunction operation: $f(x, y) = x \cup$ {y}. Therefore, a presentation ...
7
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3answers
194 views

How high are the higher types that appear in practice?

This is admittedly a rather naively put and vague question, and I'm not sure how much more specific I want or can make it, but I'll try. By "practice" I mean surely in actual programming practice (of ...
11
votes
3answers
456 views

EXPSPACE-complete problems

I am currently trying to find EXPSPACE-complete problems (mainly to find inspiration for a reduction), and I am surprised by the small number of results coming up. So far, I found these, and I have ...
0
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1answer
38 views

Reference request: Classical analog of quantum threshold theorem

For quantum circuits, once the gate error is below a threshold, the error probability of an entire computation can be driven exponentially small with polylog costs in time and space: ...
10
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2answers
235 views

What is the minimum over all distributions of unit vectors of the variance of the dot product of the vectors?

I am trying to find a distribution over $n$ random vectors, say $x_1,\ldots, x_n$, on the $k$-dimensional unit sphere (where $n > k$) that minimizes $\max_{i\neq j} \mathrm{Var}(x_i^T x_j)$ subject ...
2
votes
2answers
100 views

Graph-theoretic properties of the Wiener index

The Wiener index of a graph is the sum of the lengths of the shortest paths between all pairs of its vertices. Are there useful graph-theoretic properties of this index?
2
votes
1answer
67 views

Weighted furthest point voronoi diagrams

I found that Weighted nearest neighbor voronoi diagrams are widely studied and there are optimal algorithms for that. But I could not find anything on Weighted furthest point voronoi diagrams !! But ...
12
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1answer
295 views

Optimal randomized comparison sorting

So we all know the comparison-tree lower bound of $\lceil\log_2 n!\rceil$ on the worst-case number of comparisons made by a (deterministic) comparison sorting algorithm. It does not apply to ...
10
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2answers
268 views

Minimum Tree-width of circuit for MAJORITY

What is the minimum tree-width of a circuit over $\{\wedge,\vee,\neg\}$ for computing MAJ? Here MAJ $:\{0,1\}^n \rightarrow \{0,1\}$ outputs 1 iff at least half of its inputs are $1$. I care ...
0
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1answer
61 views

Talk for K-12 Students + General Audience Reference Request

I will be giving talks about general topics in CS, and want to hit on TCS as well. The talks will be given to K-12 schools, so not all of them will be seniors who may go to an undergraduate program at ...
8
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0answers
290 views

Is it possible to solve perfect matching in linear time

As we know matching can be solve in polynomial time. One classical and famous algorithm is designed by Karp and Hopcroft. Is it possible to solve perfect matching problem in linear time for given ...