A fast polynomial-time algorithm was recently proposed to determine whether a logic function expressed as a unate DNF (disjunctive normal form) can be expressed as a read-once formula where each variable appears no more than once. The paper uses a combinatorial characterisation of read-once formulas to achieve its objective. It is shown that one can use the well-known and more intuitive notion of algebraic factoring to devise a recognition algorithm for read-once formulas of slightly worse complexity than the best known polynomial-time algorithm for this problem
Amonotone boolean function f: { 0,1} V → { 0,1} is read-once if f can be expressed as a boolean fo...
We present a polynomial-time deterministic algorithm for testing whether constant-read multilinear a...
International audienceVarious combinatorial/algebraic parameters are used to quantify the complexity...
A fast polynomial-time algorithm was recently proposed to determine whether a logic function express...
AbstractWe show that read-twice DNF formulas-Boolean formulas in disjunctive normal form in which ea...
A read-once formula is a boolean formula in which each variable occurs at most once. Such formulas a...
132 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.The learnability of disjuncti...
AbstractAn approach for factoring general boolean functions was described in Golumbic and Mintz [Fac...
In this paper we study the identity testing problem of arithmetic read-once formulas (ROF) and some ...
Abstract: An arithmetic read-once formula (ROF for short) is a formula (a circuit whose underlying g...
In this paper, we study the isomorphism testing problem of formulas in the Boolean and arithmetic se...
We give an alternative proof to a characterization theorem of Gurvich for Boolean functions whose fo...
AbstractWe give an alternative proof to a characterization theorem of Gurvich for Boolean functions ...
Abstract. Polynomial Identity Testing (PIT) algorithms have focussed on polynomials computed either ...
Abstract. A formula is read-once if each variable appears at most once in it. An arithmetic read-onc...
Amonotone boolean function f: { 0,1} V → { 0,1} is read-once if f can be expressed as a boolean fo...
We present a polynomial-time deterministic algorithm for testing whether constant-read multilinear a...
International audienceVarious combinatorial/algebraic parameters are used to quantify the complexity...
A fast polynomial-time algorithm was recently proposed to determine whether a logic function express...
AbstractWe show that read-twice DNF formulas-Boolean formulas in disjunctive normal form in which ea...
A read-once formula is a boolean formula in which each variable occurs at most once. Such formulas a...
132 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.The learnability of disjuncti...
AbstractAn approach for factoring general boolean functions was described in Golumbic and Mintz [Fac...
In this paper we study the identity testing problem of arithmetic read-once formulas (ROF) and some ...
Abstract: An arithmetic read-once formula (ROF for short) is a formula (a circuit whose underlying g...
In this paper, we study the isomorphism testing problem of formulas in the Boolean and arithmetic se...
We give an alternative proof to a characterization theorem of Gurvich for Boolean functions whose fo...
AbstractWe give an alternative proof to a characterization theorem of Gurvich for Boolean functions ...
Abstract. Polynomial Identity Testing (PIT) algorithms have focussed on polynomials computed either ...
Abstract. A formula is read-once if each variable appears at most once in it. An arithmetic read-onc...
Amonotone boolean function f: { 0,1} V → { 0,1} is read-once if f can be expressed as a boolean fo...
We present a polynomial-time deterministic algorithm for testing whether constant-read multilinear a...
International audienceVarious combinatorial/algebraic parameters are used to quantify the complexity...