Tu-vera: An Encryption Algorithm Using Propositional Logic Calculus: Education Journal Article | IGI Global

×

Receive a 20% Discount on All Purchases Directly Through IGI Global's Online Bookstore.
Additionally, libraries can receive an extra 5% discount. Learn More

Subscribe to the latest research through IGI Global's new InfoSci-OnDemand Plus

InfoSci®-OnDemand Plus, a subscription-based service, provides researchers the ability to access full-text content from over 100,000 peer-reviewed book chapters and 26,000+ scholarly journal articles covering 11 core subjects. Users can select articles or chapters that meet their interests and gain access to the full content permanently in their personal online InfoSci-OnDemand Plus library.

Purchase the Encyclopedia of Information Science and Technology, Fourth Edition and Receive Complimentary E-Books of Previous Editions

When ordering directly through IGI Global's Online Bookstore, receive the complimentary e-books for the first, second, and third editions with the purchase of the Encyclopedia of Information Science and Technology, Fourth Edition e-book.

Create a Free IGI Global Library Account to Receive a 25% Discount on All Purchases

Exclusive benefits include one-click shopping, flexible payment options, free COUNTER 4 and MARC records, and a 25% discount on all titles as well as the award-winning InfoSci^{®}-Databases.

InfoSci^{®}-Journals Annual Subscription Price for New Customers: As Low As US$ 5,100

This collection of over 175 e-journals offers unlimited access to highly-cited, forward-thinking content in full-text PDF and HTML with no DRM. There are no platform or maintenance fees and a guarantee of no more than 5% increase annually.

Vargas-Vera, Maria. "Tu-vera: An Encryption Algorithm Using Propositional Logic Calculus." IJSEUS 9.2 (2018): 49-59. Web. 19 Sep. 2018. doi:10.4018/IJSEUS.2018040105

APA

Vargas-Vera, M. (2018). Tu-vera: An Encryption Algorithm Using Propositional Logic Calculus. International Journal of Smart Education and Urban Society (IJSEUS), 9(2), 49-59. doi:10.4018/IJSEUS.2018040105

Chicago

Vargas-Vera, Maria. "Tu-vera: An Encryption Algorithm Using Propositional Logic Calculus," International Journal of Smart Education and Urban Society (IJSEUS) 9 (2018): 2, accessed (September 19, 2018), doi:10.4018/IJSEUS.2018040105

This article describes how the encryption algorithm (called Tu-vera) depends on the transformation of a phrase written in English into a sequence of propositional logic formulas which can be understand by a human receiver. This happens if the receiver has a set of reserved words and he/she knows the level of unfolding manipulation that the receiver needs to perform in the transformation of the phrase/sentence. The Tu-vera algorithm requires several steps like a) to give a phrase; b) to re-order words of the given phrase in order to form a propositional logic formula; c) to make use of background knowledge by performing substitutions; d) to answer questions in general subjects (like literature, biology and so forth); e) to change synonyms/antonyms (if this is feasible); f) to perform actions in order to give value to both or one operand of the logic formula and g) to conclude the final answer of the logic formula (true or false) depending of the logic values of the operands in the logic formula. Finally, a working example, in the subject of universal history is introduced.

Article Preview

Related Work

The section of related work is organised in two streams namely, a section of first order logic calculus and a section of encryption algorithms.

Mathematical Logic

Definition 1: A Model is a set D and a function f such that:

The function f assigns each constant to a member of D.

The function f assigns each unary predicate to a subset of D.

The function f assigns each binary predicate to a subset D × D.

The basic idea is that a set of constants and predicates are paired with elements from the set of elements of the model. In other words, each constant can be paired directly with an element of the model. For, example, if our model includes an individual called John, then, we might pair the constant “a” with the individual John.

Let us consider predicates. An expression like G (a) is true just in case f (a) is in the subset of D that f assigns G to. For example, if “a” is paired with “John” and John is in the set of D that G is paired with, f (a) = John and John ∈ f(G), then G(a) is true.

In the same way, H (a, b) is true just in case “(a, b)” is in the subset of D × D that f assigns H to. For example, if we take D to be the set of words of English and we take H to be the relation has fewer letters than, then H (a, b) is true just in case the elements we pair constant “a” and constant “b” which are in the set of ordered pairs defined by f (H). For example, if f (a) = table and f (b) = vase, then (table, vase) ∈ f (H) and H (a, b) is true.

Note that there is not requirement that there be a single model. AQ logical system can be paired with any number of models. A more detailed description can be found in (Mendelson, 2009).