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Journal of Symbolic Computation
Academic Press, Inc.
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Exact transversal hypergraphs and application to Boolean &mgr;-functions
Eiter T. Journal of Symbolic Computation 17(3): 215-225, 1994. Type: Article, Reviews: (2 of 2)
A hypergraph is a generalized structure of a graph in which an edge, called a hyperedge, can have more than two vertices. A subset
T
is said to be a transversal of a given hypergraph if it intersects every (non-empty...
Nov 26 2020
Estimating the number of tetrahedra determined by volume, circumradius and four face areas using Groebner basis
Tsai Y. Journal of Symbolic Computation 77162-174, 2016. Type: Article
Given a tetrahedron, we can compute its volume, its circumradius (radius of the sphere going through the four vertices), and the surface areas of the four faces. Mazur [1] asked, effectively, if this is injective; that is, given these ...
Feb 22 2017
A new faster algorithm for factoring skew polynomials over finite fields
Caruso X., Le Borgne J. Journal of Symbolic Computation 79, Part 2, 411-443, 2017. Type: Article
Let
k
be a finite field of characteristic
p
and size
p
qr
, and let σ be an automorphism of
k
of order
r
. The ring of skew...
Jan 13 2017
Real quantifier elimination for the synthesis of optimal numerical algorithms (case study: square root computation)
Eraşcu M., Hong H. Journal of Symbolic Computation 75(C): 110-126, 2016. Type: Article
If we know that
lies in [
L
,
U
], can we produce a better bounding interval? The obvious answer is the Secant-Newton map, replacing [
L
Jul 25 2016
Synthesis of list algorithms by mechanical proving
Drămnesc I., Jebelean T. Journal of Symbolic Computation 69(C): 61-92, 2015. Type: Article
Program synthesis via extraction of programs from constructive proofs is now very well established, with a large literature base. There are still quite a few hurdles to overcome, but the meta-theory has been in place for quite some tim...
Jan 11 2016
Better answers to real questions
Košta M., Sturm T., Dolzmann A. Journal of Symbolic Computation 74(C): 255-275, 2016. Type: Article
Many scientific problems can be phrased as existential formulas over the real numbers. For example: For a fixed parameter
a
, are there
x
≥
y
such that
x
Dec 18 2015
Computing real roots of real polynomials
Sagraloff M., Mehlhorn K. Journal of Symbolic Computation 73(C): 46-86, 2016. Type: Article
The computation of roots of a univariate polynomial is the most classical task in computational algebra. Since this problem arises in very many applications, plenty of techniques for its solution have been proposed. In this paper, Sagr...
Dec 1 2015
Beyond polynomials and Peano arithmetic-automation of elementary and ordinal interpretations
Zankl H., Winkler S., Middeldorp A. Journal of Symbolic Computation 69(C): 129-158, 2015. Type: Article
Goodstein sequences and theorems are very popular because of their unboundedness with respect to multiple recursive functions and derivational complexity....
Sep 1 2015
Symbolic and numerical analysis of plates in bending using MATLAB
Roque C. Journal of Symbolic Computation 61-623-11, 2014. Type: Article
This paper basically does what the title says. It makes two distinct uses of MATLAB, one symbolic and one numeric, to solve, in a meshless manner, the plate-bending problem. The symbolic code writes 50 MATLAB functions, typically a few...
Feb 9 2015
Automated simplification of large symbolic expressions
Bailey D., Borwein J., Kaiser A. Journal of Symbolic Computation 60120-136, 2014. Type: Article
The simplification of algebraic expressions is one of the major uses of any computer algebra system, and yet there is a paucity of material on the fundamental algorithms that underlie simplification. Such papers that exist tend to be q...
Nov 19 2014
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