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CORR
2008
Springer
85views Education» more  CORR 2008»
13 years 4 months ago
Ranking and Unranking of Hereditarily Finite Functions and Permutations
Prolog's ability to return multiple answers on backtracking provides an elegant mechanism to derive reversible encodings of combinatorial objects as Natural Numbers i.e. ranki...
Paul Tarau
CORR
2008
Springer
158views Education» more  CORR 2008»
13 years 4 months ago
Declarative Combinatorics: Isomorphisms, Hylomorphisms and Hereditarily Finite Data Types in Haskell
This paper is an exploration in a functional programming framework of isomorphisms between elementary data types (natural numbers, sets, finite functions, permutations binary deci...
Paul Tarau
LICS
1999
IEEE
13 years 8 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
Albert Atserias, Phokion G. Kolaitis
JUCS
2002
179views more  JUCS 2002»
13 years 4 months ago
A Fast and Simple Algorithm for Constructing Minimal Acyclic Deterministic Finite Automata
: In this paper, we present a fast and simple algorithm for constructing a minimal acyclic deterministic finite automaton from a finite set of words. Such automata are useful in a ...
Bruce W. Watson
CORR
2010
Springer
136views Education» more  CORR 2010»
13 years 4 months ago
On the Sets of Real Numbers Recognized by Finite Automata in Multiple Bases
This article studies the expressive power of finite automata recognizing sets of real numbers encoded in positional notation. We consider Muller automata as well as the restricted ...
Bernard Boigelot, Julien Brusten, Véronique...