# Modus ponens on Boolean algebras revisited.

Mathware and Soft Computing (1996)

- Volume: 3, Issue: 1-2, page 105-112
- ISSN: 1134-5632

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topTrillas, Enric, and Cubillo, Susana. "Modus ponens on Boolean algebras revisited.." Mathware and Soft Computing 3.1-2 (1996): 105-112. <http://eudml.org/doc/39064>.

@article{Trillas1996,

abstract = {In a Boolean Algebra B, an inequality f(x,x --> y)) ≤ y satisfying the condition f(1,1)=1, is considered for defining operations a --> b among the elements of B. These operations are called Conditionals'' for f. In this paper, we obtain all the boolean Conditionals and Internal Conditionals, and some of their properties as, for example, monotonicity are briefly discussed.},

author = {Trillas, Enric, Cubillo, Susana},

journal = {Mathware and Soft Computing},

keywords = {Lógica simbólica; Operadores monótonos; Lógica difusa; Algebras de Boole; Información condicional; functional equations; truth functions; Boolean analogues of modus ponens},

language = {eng},

number = {1-2},

pages = {105-112},

title = {Modus ponens on Boolean algebras revisited.},

url = {http://eudml.org/doc/39064},

volume = {3},

year = {1996},

}

TY - JOUR

AU - Trillas, Enric

AU - Cubillo, Susana

TI - Modus ponens on Boolean algebras revisited.

JO - Mathware and Soft Computing

PY - 1996

VL - 3

IS - 1-2

SP - 105

EP - 112

AB - In a Boolean Algebra B, an inequality f(x,x --> y)) ≤ y satisfying the condition f(1,1)=1, is considered for defining operations a --> b among the elements of B. These operations are called Conditionals'' for f. In this paper, we obtain all the boolean Conditionals and Internal Conditionals, and some of their properties as, for example, monotonicity are briefly discussed.

LA - eng

KW - Lógica simbólica; Operadores monótonos; Lógica difusa; Algebras de Boole; Información condicional; functional equations; truth functions; Boolean analogues of modus ponens

UR - http://eudml.org/doc/39064

ER -

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