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Nondeterministic operations on finite relational structures

Klaus Barthelmann
1998 Theoretical Computer Science  
We relate them to the logical theory of finite relational structures and hypergraphs.  ...  First, nondeterministic operations are considered, i.e., operations which give a set of results instead of a single one.  ...  Finite relational structures and nondeterministic operations Now we look at examples for nondeterministic operations.  ... 
doi:10.1016/s0304-3975(97)00263-6 fatcat:r22a673slnfk7kf2hzjzcr7rda

A Mathematical Game Semantics of Concurrency and Nondeterminism [chapter]

Julian Gutierrez
2015 Lecture Notes in Computer Science  
The model based on closure operators exposes many interesting mathematical properties and allows one to define connections with many other semantic models where closure operators are also used.  ...  Concurrent games as event structures form a partial order model of concurrency where concurrent behaviour is captured by nondeterministic concurrent strategies-a class of maps of event structures.  ...  Based on Theorem 5, which relates the standard definition of strategies as maps of event structures with strategies as nondeterministic closure operators, known techniques to characterise winning strategies  ... 
doi:10.1007/978-3-319-25150-9_35 fatcat:kyfxxg3icjcbln7o4mgfyz6z3e

Turing Machines with Atoms

Mikolaj Bojanczyk, Bartek Klin, Slawomir Lasota, Szymon Torunczyk
2013 2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science  
Our main result is that deterministic machines are weaker than nondeterministic ones; in particular, P =NP in sets with atoms.  ...  Our main construction is closely related to the Cai-Fürer-Immerman graphs used in descriptive complexity theory.  ...  Sets without atoms correspond to the empty relational structure.  ... 
doi:10.1109/lics.2013.24 dblp:conf/lics/BojanczykKLT13 fatcat:bntizruis5bezdfgmwuemw7jje

Page 4831 of Mathematical Reviews Vol. , Issue 83m [page]

1983 Mathematical Reviews  
(English and Russian summaries) [On the structure theory of finite nondeterministic automata. I. On the lattice of 1-congruences of finite relational systems] Elektron. Informationsverarb.  ...  (English and Russian summaries) [On the structure theory of finite nondeterministic automata. II. Control sums and control trees of nondeterministic automata] Elektron. Informationsverarb.  ... 

A generalization of Kleene's theorem and nondeterministic structured programming

Valeriu Breazu, Octavian Stânâşilâ
1981 Information and Control  
In the case of the c.o. monoid of all binary relations on a set we obtain the computational equivalence between flowchart-like nondeterministic programs and structured nondeterministic programs constructed  ...  using the generalization of the rational operations on languages.  ...  Applying the theorem to binary relations on a set we obtain the computational equivalence between two programming doctrines for nondeterministic programs, a general doctrine and a structured doctrine.  ... 
doi:10.1016/s0019-9958(81)90235-7 fatcat:a4diuff355cfpm2j3cuf6t37tq

Page 3382 of Mathematical Reviews Vol. , Issue 92f [page]

1992 Mathematical Reviews  
It concentrates on problems of algebraic and structural automata theory such as the following: computation of function-preserving operations of finite automata with state transformations and state-input  ...  921:68116 Hence rewriting is at the heart of all three execution models, which makes their combination quite simple on the operational side.  ... 

Automata, Power Series, and Coinduction: Taking Input Derivatives Seriously (Extended Abstract) [chapter]

J.J.M.M. Rutten
1999 Lecture Notes in Computer Science  
In Section 4, a number of laws for the familiar operators on formal power series, will be shown to have easy proofs by coinduction.  ...  of a congruence relation).  ...  Note that it does not depend on the semiring structure of k.  ... 
doi:10.1007/3-540-48523-6_61 fatcat:vy4zavldsfahpa5rbwq7nnm2na

Page 2168 of Mathematical Reviews Vol. , Issue 82e [page]

1982 Mathematical Reviews  
A relational structure is defined as a finite set S and a collection R,,---,R, of relations on S; e.g., a graph consists of a vertex set S and one binary (symmetric and irreflexive) adjacency relation  ...  The author discusses an alternative approach, based on formal logic and due to R. Fagin (“Contributions to the model theory of finite structures”, Ph.D. Thesis, Univ.  ... 

Page 2814 of Mathematical Reviews Vol. , Issue 92e [page]

1992 Mathematical Reviews  
This part also contains remarks on interpretability operations on data structures which are typical for defining (implementing) new data structures.  ...  To describe the nondeterministic interpretation of programs one uses modal formulas (Ka: there is a finite computation of K end- ing with a state satisfying a, OKa: all computations of K are finite and  ... 

Structural operational semantics and bounded nondeterminism

Wan Fokkink, Thuy Duong Vu
2003 Acta Informatica  
We present a rule format for structural operational semantics to guarantee that the associated labelled transition system is bounded nondeterministic.  ...  Structural operational semantics This chapter introduces the basic notions about structural operational semantics needed in the rest of this paper.  ...  Rule formats for structural operational semantics are a convenient approach for obtaining certain results on process algebras and LTSs in general (see [1] for an overview).  ... 
doi:10.1007/s00236-003-0111-1 fatcat:dgycxetldrg4vbywpwxxzttdpi

A Novel Approach for the Determination of Membership Values of the Strings in Fuzzy Languages

Rahul KumarSingh, Ajay Kumar
2014 International Journal of Computer Applications  
They proved that nondeterministic fuzzy automata are not closed under the Complement operation and the deterministic fuzzy automata are not closed under the Kleene closure operation.  ...  Fuzzy automata fully dependent on membership value and these values can be taken with complete lattice, lattice ordered monoid, and many other algebraic structure.  ... 
doi:10.5120/17548-8144 fatcat:qb7chkpssze5vfqsemrqroof3y

Bicategorical Semantics for Nondeterministic Computation [article]

Mike Stay, Jamie Vicary
2013 arXiv   pre-print
Specific implementations of these protocols as nondeterministic classical procedures are recovered by applying our formalism in a symmetric monoidal bicategory of matrices of relations.  ...  Relations provide a standard semantics for nondeterministic computation [11] , and our bicategory builds on this.  ...  Suppose at first that σ and τ are relations on a finite set S. Then if σ • τ = id S , there must be at least one y ∈ S such that (x, y) ∈ σ and (y, x) ∈ τ .  ... 
arXiv:1301.3393v1 fatcat:riccfou7brcbfdnq4ca3qkcxpa

On the Succinctness of Nondeterminism [chapter]

Benjamin Aminof, Orna Kupferman
2006 Lecture Notes in Computer Science  
It is not clear, however, whether and how it is possible to relate nondeterministic automata for R and L, or to relate nondeterministic automata to which different limit operators are applied.  ...  For the three limit operators, the deterministic automata for R and L share the same structure.  ...  Succinctness Among the Different Limit Operators In the previous section, we related NFWs with Büchi and co-Büchi automata.  ... 
doi:10.1007/11901914_12 fatcat:hv2aeurg7zdzbjl5g344vr6tmu

On Weakly Ambiguous Finite Transducers [chapter]

Nicolae Santean, Sheng Yu
2006 Lecture Notes in Computer Science  
IU transductions are characterized by nondeterministic bimachines and ID transductions can be represented as a composition of sequential functions and finite substitutions.  ...  Perhaps the most important aspect of this work consists in defining nondeterministic bimachines and describing their power by linking them with weakly ambiguous finite transducers (IU and FA).  ...  FNObm : with finitely nondeterministic output (at each "step" the bimachine nondeterministically writes a word on the output tape, choosing from a finite set of choices); 2.  ... 
doi:10.1007/11779148_15 fatcat:wrblrbaom5b3fmi7kkfeinqpbm

Page 5984 of Mathematical Reviews Vol. , Issue 94j [page]

1994 Mathematical Reviews  
On the whole, a dozen operations related to deletion, and a dozen operations related to insertion as well, are introduced.  ...  It is known that nondeterministic finite automata (NFAs) can be exponentially more concise than deterministic finite automata (DFAs) in their representations of regular languages.  ... 
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