RT Conference Proceedings T1 Computer Algebra-based RBES personalized menu generator A1 Roanes-Lozano, Eugenio A1 Galán-García, José Luis A1 Aguilera-Venegas, Gabriel K1 Matemáticas aplicadas AB People have many constraints concerning the food they eat. These constraintscan be based on religious believes, be due to food allergies or to illnesses, or canbe derived just from personal preferences. Therefore, preparing menus at hospitalsand restaurants can be really complex. Another special situation arise when travel-ing abroad. It is not always enough to know the brief description in the restaurantmenu or the explanation of the waiter. For example, “calamares en su tinta” (squidin its own ink) is a delicious typical Spanish dish, not well-known abroad. Its briefdescription would be “squid with boiled rice in its own (black) ink”. But an in-gredient (included in a small amount, in order to thicken the sauce) is flour, a factvery important for someone suffering from celiac disease. Therefore, we have con-sidered that it would be very interesting to develop a Rule Based Expert System(RBES) to address these problems. The rules derive directly from the recipes andcontain the information about required ingredients and names of the dishes. Wedistinguish: ingredients and ways of cooking, intermediate products (like “mayon-naise”, that doesn’t always appear explicitly in the restaurants’ menus) and finalproducts (like “seafood cocktail”, that are the dishes listed in the restaurant menu).For each customer at a certain moment, the input to the system are: on one hand,the stock of ingredients at that moment, and on the other, the religion, allergies andrestrictions due to illnesses or personal preferences of the customer. The RBESthen constructs a “personalized restaurant menu” using set operations and knowl-edge extraction (thanks to an algebraic Groebner bases-based inference engine[1]).The RBES has been implemented in the computer algebra systemMaple TM 18(us-ing its convenient Embedded Components) and can be run from computers and tablets using Maple TM or the Maple TM Player YR 2015 FD 2015-07-27 LK http://hdl.handle.net/10630/10172 UL http://hdl.handle.net/10630/10172 LA eng NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 26 feb 2026