Algoritem za izračun lambda izrazov na FPGA vezju

Habjan, Lovro (author), Slivnik, Boštjan (mentor)

Diplomsko delo predstavi algoritem za izračun oziroma poenostavitev po- ljubnih lambda izrazov, ki je primeren za implementacijo z FPGA vezjem. Diplomsko delo najprej predstavi teorijo lambda računa, predstavitev lambda izraza v pomnilniku in splošni algoritem za izračun lambda izrazov. Rezultat diplomske naloge je algoritem, zasnovan kot deterministični končni avtomat, ki za svoje delovanje uporablja nabor registrov, sklad in pomnilnik in lahko izračuna poljuben lambda izraz. Ker je algoritem zasnovan kot determini- stični končni avtomat, je primeren za implementacijo z FPGA vezjem. Im- plementiran je v programskem jeziku C in omogoča testiranje in beleženje podatkov o izvajanju.

• Language: Slovenian
• Keywords: lambda račun, funkcijsko programiranje, končni avtomat, FPGA
• Work type: Bachelor thesis/paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FRI - Faculty of Computer and Information Science
• Year: 2020
• PID: 20.500.12556/RUL-117450
• COBISS.SI-ID: 22576131
• Publication date in RUL: 10.07.2020

Secondary language

• Language: English
• Title: Algorithm for reducing lambda expressions on FPGA circuit

Abstract

The diploma thesis presents an algorithm for solving an arbitrary lambda expression that is possible to implement with an FPGA circuit. The diploma thesis covers the theory of the lambda calculus, memory representation of a lambda expression and a general algorithm for solving lambda expressions. The result of the diploma thesis is an algorithm, designed as a deterministic finite automaton, which uses a set of registers, a stack and memory to solve any lambda expression. Because the algorithm is designed as a deterministic finite automaton, it can be easily implemented with an FPGA circuit. The algorithm is implemented in the C programming langugage and supports testing and measuring runtime data.

• Keywords: lambda calculus, functional programming, finite automaton, FPGA