Semiconductor industry seems to approach a wall where physical geometry and power density issues could possibly render the device fabrication infeasible. Quantum-dot Cellular Automata (QCA) is a new nanotechnology that claims to offer the potential of manufacturing even denser integrated circuits, which can operate at high frequencies and low power consumption. In QCA technology, the signal propagation occurs as a result of electrostatic interaction among the electrons as opposed to flow to the electrons in a wire. The basic building block of QCA technology is a QCA cell which encodes binary information with the relative position of electrons in it. A QCA cell can be used either as a wire or as logic. In QCA, the directionality of the signal flow is controlled by phase-shifted electric field generated on a separate layer than QCA cell layer. This process is called clocking of QCA circuits. The logic realization using regular structures such as PLAs have played a significant role in the semiconductor field due to their manufacturability, behavioral predictability and the ease of logic mapping. Along with these benefits, regular structures in QCA's would allow for uniform QCA clocking structure. The clocking structure is important because the pioneers of QCA technology propose it to be fabricated in CMOS technology. This thesis presents a detailed design implementation and a comparative analysis of logic realization using regular structures, namely Shannon-Lattices and PLAs for QCAs. A software tool was developed as a part of this research, which automatically generates complete QCA-Shannon-Lattice and QCA-PLA layouts for single-output Boolean functions based on an input macro-cell library. The equations for latency and throughput for the new QCA-PLA and QCA-Shannon-Lattice design implementations were also formulated. The correctness of the equations was verified by performing simulations of the tool-generate layouts with QCADesigner. A brief design trade-off analysis between the tool-generated regular structure implementation and the unstructured custom layout in QCA is presented for the full-adder circuit.

As technology geometries have shrunk to the deep sub-micron (DSM) region, the chip density and clock frequency of FPGAs have increased significantly. This makes computer-aided design (CAD) for FPGAs very important and challenging. Due to the increasing demands of portable devices and mobile computing, low power design is crucial in CAD nowadays. In this dissertation, we present a framework to optimize power consumption for technology mapping onto FPGAs. We propose a low-power technology mapping scheme which is able to predict the impact of choosing a subnetwork covering on the ultimate mapping solution. We dynamically update the power estimation for a sequence of options and choose the one that yields the least power consumption. This technique outperforms the best low-power mapping algorithms reported in the literature. We further extend this work to generate mapping solutions with optimal delay. We also propose placement algorithms to optimize the performance of the placed circuit. Net cluster based methodology is designed to ensure closely connected nets will be routed in the same region. Net cluster is obtained by clique partitioning on the net dependency graph. Net positions and consequent cell positions are computed with a force-directed approach which drags nets connected to closer positions. We further study the performance-driven placement problem for high level synthesis. We use the Automatic Design Instantiation (AUDI) high level synthesis system to generate a register-transistor level (RTL) netlist. This RTL netlist is fed into a CAD tool for physical synthesis. We do not necessarily go through the entire physical design process which is usually quite time-consuming. Instead, we have created an accurate wirelength/timing estimator working on the floorplan. If the estimated timing information does not meet the constraints, a guidance is generated and provided to AUDI system. The guidance consists of the estimated timing information and instructions to produce a new netlist in order to improve the performance. Finally the circuit is placed and routed on a satisfying design. This performance-driven placement framework yields better results as compared to a commercial CAD tool.

Functional decomposition aims at finding efficient representations for Boolean functions. It is used in many applications, including multi-level logic synthesis, formal verification, and testing. This dissertation presents novel heuristic algorithms for functional decomposition. These algorithms take advantage of suitable representations of the Boolean functions in order to be efficient. The first two algorithms compute simple-disjoint and disjoint-support decompositions. They are based on representing the target function by a Reduced Ordered Binary Decision Diagram (BDD). Unlike other BDD-based algorithms, the presented ones can deal with larger target functions and produce more decompositions without requiring expensive manipulations of the representation, particularly BDD reordering. The third algorithm also finds disjoint-support decompositions, but it is based on a technique which integrates circuit graph analysis and BDD-based decomposition. The combination of the two approaches results in an algorithm which is more robust than a purely BDD-based one, and that improves both the quality of the results and the running time. The fourth algorithm uses circuit graph analysis to obtain non-disjoint decompositions. We show that the problem of computing non-disjoint decompositions can be reduced to the problem of computing multiple-vertex dominators. We also prove that multiple-vertex dominators can be found in polynomial time. This result is important because there is no known polynomial time algorithm for computing all non-disjoint decompositions of a Boolean function. The fifth algorithm provides an efficient means to decompose a function at the circuit graph level, by using information derived from a BDD representation. This is done without the expensive circuit re-synthesis normally associated with BDD-based decomposition approaches. Finally we present two publications that resulted from the many detours we have taken along the winding path of our research. / QC 20100909

Most of the microelectronic circuits fabricated today are synchronous, i.e. they are driven by one or several clock signals. Synchronous circuit design faces several fundamental challenges such as high-speed clock distribution, integration of multiple cores operating at different clock rates, reduction of power consumption and dealing with voltage, temperature, manufacturing and runtime variations. Asynchronous or clockless design plays a key role in alleviating these challenges, however the design and test of asynchronous circuits is much more difficult in comparison to their synchronous counterparts. A driving force for a widespread use of asynchronous technology is the availability of mature EDA (Electronic Design Automation) tools which provide an entire automated design flow starting from an HDL (Hardware Description Language) specification yielding the final circuit layout. Even though there was much progress in developing such EDA tools for asynchronous circuit design during the last two decades, the maturity level as well as the acceptance of them is still not comparable with tools for synchronous circuit design. In particular, logic synthesis (which implies the application of Boolean minimisation techniques) for the entire system's control path can significantly improve the efficiency of the resulting asynchronous implementation, e.g. in terms of chip area and performance. However, logic synthesis, in particular for asynchronous circuits, suffers from complexity problems. Signal Transitions Graphs (STGs) are labelled Petri nets which are a widely used to specify the interface behaviour of speed independent (SI) circuits - a robust subclass of asynchronous circuits. STG decomposition is a promising approach to tackle complexity problems like state space explosion in logic synthesis of SI circuits. The (structural) decomposition of STGs is guided by a partition of the output signals and generates a usually much smaller component STG for each partition member, i.e. a component STG with a much smaller state space than the initial specification. However, decomposition can result in component STGs that in isolation have so-called irreducible CSC conflicts (i.e. these components are not SI synthesisable anymore) even if the specification has none of them. A new approach is presented to avoid such conflicts by introducing internal communication between the components. So far, STG decompositions are guided by the finest output partitions, i.e. one output per component. However, this might not yield optimal circuit implementations. Efficient heuristics are presented to determine coarser partitions leading to improved circuits in terms of chip area. For the new algorithms correctness proofs are given and their implementations are incorporated into the decomposition tool DESIJ. The presented techniques are successfully applied to some benchmarks - including 'real-life' specifications arising in the context of control resynthesis - which delivered promising results. / Moderner Schaltungsentwurf fokussiert hauptsächlich synchrone Schaltungstechnik mit allen inhärenten Problemen. Asynchone (d.h. ungetaktete) Schaltungen zeichnen sich jedoch nicht nur durch das Fehlen der Taktversatzproblematik gegenüber ihren synchronen Pendents aus, sondern auch insbesondere durch geringeren Energieverbrauch, günstigere EMV-Eigenschaften, hohe Performance, Modularität und Robustheit gegenüber Schwankungen in der Spannungsversorgung, im Herstellungsprozess sowie Temperaturunterschieden. Diese Vorteile werden mit höherer Integration sowie höheren Taktraten signifikanter. Jedoch ist der Entwurf und auch der Test asynchroner Schaltungen erheblich schwieriger verglichen mit synchronen Schaltungen. Entwurfswerkzeuge zur Synthese asynchroner Schaltungen aus Hochsprachen-Spezifikationen sind zwar inzwischen verfügbar, sie sind jedoch noch nicht so ausgereift und bei weitem noch nicht so akzeptiert in der Industrie, wie ihre Äquivalente für den synchronen Schaltungsentwurf. Insbesondere fehlt es an Werkzeugunterstützung im Bereich der Logiksynthese komplexer Steuerungen („Controller“), welche kritisch für die Effizienz – z.B. in Bezug auf Chipfläche und Geschwindigkeit – der resultierenden Schaltungen oder Systeme ist. Zur Spezifikation von Steuerungen haben sich Signalflankengraphen („signal transition graphs“, STGs) bewährt, die auch als Entwurfseinstieg für eine Logiksynthese von SI-Schaltungen („speed independent“) verwendet werden. (SI-Schaltungen gelten als sehr robuste asynchrone Schaltungen.) Aus den STGs werden zwecks Logiksynthese Automaten abgeleitet werden, deren Zustandszahl aber oft prohibitiv groß werden kann. Durch sogenannte STG-Dekomposition wird die Logiksynthese einer komplexen Schaltung ermöglicht, was bislang aufgrund von Zustandsexplosion oft nicht möglich war. Dabei wird der Spezifikations-STG laut einer gegebenen Partition von Ausgangssignalen in viele kleinere Teilnetze dekomponiert, wobei zu jedem Partitionsblock ein Teilnetz – mit normalerweise signifikant kleinerem Zustandsraum im Vergleich zur Spezifikation – erzeugt wird. Zu jedem Teilnetz wird dann eine Teilschaltung (Komponente) mittels Logiksynthese generiert. Durch die Anwendung von STG-Dekomposition können jedoch Teilnetze erzeugt werden, die sogenannte irreduzible CSC-Konflikte aufweisen (d.h. zu diesen Teilnetzen kann keine SI-Schaltung erzeugt werden), obwohl die Spezifikation keine solchen Konflikte hatte. Diese Arbeit präsentiert einen neuen Ansatz, welcher die Entstehung solcher irreduziblen Konflikte vermeidet, und zwar durch die Einführung interner Kommunikation zwischen den (zu den Teilnetzen gehörenden) Schaltungskomponenten. Bisher werden STG-Dekompositionen total durchgeführt, d.h. pro resultierender Komponente wird ein Ausgangssignal erzeugt. Das führt gewöhnlich nicht zu optimalen Schaltungsimplementierungen. In dieser Arbeit werden Heuristiken zur Bestimmung gröberer Ausgabepartitionen (d.h. Partitionsblöcke mit mehreren Ausgangssignalen) vorgestellt, die zu kleineren Schaltungen führen. Die vorgestellten Algorithmen werden formal abgesichert und wurden in das bereits vorhandene Dekompositionswerkzeug DESIJ integriert. An praxisrelevanten Beispielen konnten die vorgestellten Verfahren erfolgreich erprobt werden.

O emprego de ferramentas de automação de projetos de circuitos integrados permitiu que projetos complexos atingissem time-to-market e custos de produção factíveis. Neste contexto, o processo de síntese lógica é uma etapa fundamental no fluxo de projeto. O passo independente de tecnologia (parte do processo de síntese lógica, que é realizada sem considerar características físicas) é tradicionalmente realizado sobre equações. O desenvolvimento de novos algoritmos de otimização multi-nível recentemente migrou para o emprego de And-Inverter Graphs (AIGs). O número de nodos e a altura de um grafo apresentam melhor correlação com os resultados em área e atraso de um circuito, se comparados com as características de outras formas de representação. Neste trabalho, um algoritmo de síntese lógica independente de tecnologia, que funciona sobre uma estrutura de AIGs, é proposto. Uma nova abordagem para a construção de AIGs, baseada no novo paradigma de síntese chamado de composição funcional, é apresentado. Esta abordagem consiste em construir o AIG final através da associação de AIGs mais simples, em uma abordagem bottom-up. Durante a construção do grafo, o método controla as características dos grafos intermediários e finais, a partir da aplicação de uma função de custo, como forma de avaliação da qualidade desses AIGs. O objetivo é a minimização do número de nodos e da altura do AIG final. Este algoritmo de síntese lógica multi-objetivo apresenta características interessantes e vantagens quando comparado com abordagens tradicionais. Além disso, este trabalho apresenta a síntese de funções com múltiplas saídas em AIGs, o que melhora a característica de compartilhamento de estruturas, melhorando o circuito resultante. Resultados mostraram a melhora em torno de 5% em número de nodos, quando comparados com os resultados obtidos com a ferramenta ABC. / The use of design automation tools has allowed complex projects to reach feasible time-to-market and cost parameters. In this context, logic synthesis is a critical procedure in the design flow. The technology independent step (part of the logic synthesis which is performed regardless any physical property) is traditionally performed over equations. The development of new multi-level optimization algorithms has recently shifted towards the use of And-Inverter-Graphs (AIGs). The number of nodes and the graphs depth in AIGs present better correlation with resulting circuit area and delay than any characteristic of other representations. In this work, a technology independent synthesis algorithm that works on top of an AIG data structure is proposed. A novel approach for AIG construction, based on a new synthesis paradigm called functional composition, is introduced. This approach consists in building the final AIG by associating simpler AIGs, in a bottom-up approach. The method controls, during the graphs construction, the characteristics of final and intermediate graphs by applying a cost function as a way to evaluate the quality of those AIGs. The goal is to minimize the number of nodes and the depth of the final AIG. This multi-objective synthesis algorithm has presented interesting features and advantages when compared to traditional approaches. Moreover, this work presents a method for AIGs construction for multiple output functions, which enhances structural sharing, improving the resulting circuit. Results have shown an improvement of around 5% in number of nodes when compared to ABC tool.

Algoritmos exatos para fatoração estão limitados a funções Booleanas read-once, onde cada variável aparece uma vez na equação final. No entanto, estes algoritmos apresentam duas restrições principais: (1) eles não consideram funções Booleanas incompletamente especificadas, e (2) eles não são adequados para as funções binate. Para superar o primeiro inconveniente, é proposto um algoritmo que encontra equações read-once para funções Booleanas incompletamente especificadas, sempre que possível, é proposto. Com respeito à segunda limitação, é apresentada uma transformação de domínio que divide variáveis binate existentes em duas variáveis unate independentes. Tal transformação de domínio conduz a funções Booleanas incompletamente especificadas, que podem ser eficientemente fatoradas mediante a aplicação do algoritmo proposto. A combinação das duas contribuições dá resultados ótimos para uma nova classe de funções Booleanas chamada read-polarity-once, onde cada polaridade (positiva ou negativa) de uma variável aparece no máximo uma vez na forma fatorada da expressão Booleana. Resultados experimentais sobre circuitos ISCAS'85 mostrou que funções read-polarity-once são significativamente mais frequentes em circuitos reais quando comparado com a classe de funções read-once, a qual muitos trabalhos já foram dedicados na literatura. / Efficient exact factoring algorithms are limited to read-once functions, in which each variable appears once in the final Boolean equation. However, those algorithms present two main constraints: (1) they do not consider incompletely specified Boolean functions; and (2) they are not suitable for binate functions. To overcome the first drawback, it is proposed an algorithm that finds read-once formulas for incompletely specified Boolean functions, whenever possible. With respect to the second limitation, a domain transformation that splits existing binate variables into two independent unate variables is presented. Such domain transformation leads to incompletely specified Boolean functions, which can be efficiently factored by applying the proposed algorithm. The combination of both contributions gives optimal results for a novel broader class of Boolean functions named as read-polarity-once functions, where each polarity (positive or negative) of a variable appears at most once in the factored form. Experimental results over ISCAS'85 benchmark circuits have shown that read-polarityonce functions are significantly more frequent than read-once functions, for which many works have already been devoted in the literature.

Este trabalho apresenta a composição funcional (CF) como um novo paradigma para realização da síntese lógica de blocos combinacionais. CF usa uma abordagem ascendente para sintetizar funções Booleanas, sendo capaz de avaliar os custos das funções intermediárias e explorando dessa forma um grande número de combinações diferentes de funções candidatas. Há vantagens interessantes quando comparado à abordagem descendente da decomposição funcional. CF apresenta grande flexibilidade para criar algoritmos com resultados ótimos ou subótimos para diferentes aplicações. A estratégia proposta apresenta bons resultados para síntese de funções Booleanas visando diferentes tecnologias. CF é baseado nos seguintes princípios: (1) representação de funções lógicas como um par ligado com representações funcional e estrutural; (2) o algoritmo começa de um conjunto de funções iniciais; (3) funções mais simples são associadas para criar funções mais complexas; (4) existe uma ordem parcial que permite o uso da programação dinâmica; (5) um conjunto de funções permitidas pode ser mantido para reduzir o tempo de execução/consumo de memória. Este trabalho apresenta algoritmos de composição funcional para fatoração Booleana, incluindo fatoração ótima, fatoração considerando o operador OU-exclusivo, computação de cadeias mínimas de decisão e síntese de funções considerando somente portas lógicas majoritárias e inversores. / This work presents functional composition (FC) as a new paradigm for combinational logic synthesis. FC is a bottom-up approach to synthesize Boolean functions, being able to evaluate the cost of intermediate sub-functions, exploring a larger number of different candidate combinations. These are interesting advantages when compared to the top-down behavior of functional decomposition. FC presents great flexibility to implement algorithms with optimal or suboptimal results for different applications. The proposed strategy presents good results for the synthesis of Boolean functions targeting different technologies. FC is based on the following principles: (1) the representation of logic functions is done by a bonded pair of functional and structural representations; (2) the algorithm starts from a set of initial functions; (3) simpler functions are associated to create more complex ones; (4) there is a partial order, enabling dynamic programming; (5) a set of allowed functions can be used in order to reduce execution time/memory consumption. This work presents functional composition algorithms for Boolean factoring, including optimal factoring, Boolean factoring considering the exclusive-OR operator, minimum decision chain computation and synthesis of functions considering only majority and inverter logic gates.

Os avanços da indústria de semicondutores nas últimas décadas foram baseados fortemente na contínua redução de tamanho dos dispositivos CMOS fabricados. Os usos de dispositivos CMOS dependem profundamente da lógica de portas E/OU/INV. À medida que os dispositivos CMOS estão atingindo oslimites fisicos, pesquisadores aumento esforço para prolongar a vida útil da tecnologia CMOS. Também é necessário investigar dispositivos alternativos, que em muitos casos implicam no uso de operações lógicas básicas diferentes. Como as ferramentas comerciais de síntese não são capazes de manipular eficientemente estas tecnologias Esta tese de doutorado foca em produzir algoritmos eficientes para projeto de circuitos tanto em CMOS quanto em novas tecnologias, integrando estes algorithmos em fluxos de projeto. Para esta tarefa, aplicamos a técnica da composição functional, para sintetizar eficiente tanto em CMOS quanto em tecnologias emergentes. A composição funcional é uma abordagem de síntese de baixo para cima, provendo flexibilidade para implementar algoritmos com resultados ótimos ou sub-ótimos para diferentes tecnologias. A fim de investigar como a composição funcional se compara às abordagens de síntese estado-da-arte, propomos aplicar esse paradigma de síntese em seis cenários diferentes. Dois deles se concentram em circuitos baseados em CMOS e outros quatro em circuitos baseados em tecnologias emergentes. Em relação a circuitos baseados em CMOS, investigamos a composição funcional para fatoração de funções multi-saídas, aplicadas em um fluxo de resíntese. Também manipulamos funções aproximadas, a fim de sintetizar módulos de redundância tripla aproximada. No que diz respeito as tecnologias emergentes, exploramos a composição funcional através de diodos spintrônicos e outras abordagens promissoras com base em diferentes implementações de lógica: a lógica de limiar, lógica majoritária e lógica de implicação. Resultados apresentam uma melhoria considerável em relação aos métodos estadoda- arte tanto para aplicações CMOS quanto aplicações de tecnologias emergentes, demonstrando a capacidade de lidar com diferentes tecnologias e mostrando a possibilidade de melhorar tecnologias ainda não exploradas. / The advances in semiconductor industry over the last decades have been strongly based on continuous scaling down of dimensions in manufactured CMOS devices. The use of CMOS devices profoundly relies on AND/OR/Inverter logic. As the CMOS scaling is reaching its physical limits, researchers increase the effort to prolong the CMOS life. Also, it is necessary to investigate alternative devices, which in many cases implies the use of different basic logic operations. As the commercial synthesis tools are not able to handle these technologies efficiently, there is an opportunity to research alternative logic implementations better suited for these new devices. This thesis focuses on presenting efficient algorithms to design circuits in both CMOS and new technologies while integrating these algorithms into regular design flows. For this task, we apply the functional composition technique, to efficiently synthesize both CMOS and emerging technologies. The functional composition is a bottom-up synthesis approach, providing flexibility to implement algorithms with optimal or suboptimal results for different technologies. To investigate how the functional composition compares to the state-of-the-art synthesis methods, we propose to apply this synthesis paradigm into six different scenarios. Two of them focus on CMOS-based circuits, and other four are based on emerging technologies. Regarding CMOSbased circuits, we investigate functional composition to investigate multi-output factorization in a circuit resynthesis flow. Also, we manipulate approximate functions to synthesize approximate triple modular redundancy (ATMR) modules. Concerning emerging technologies, we explore functional composition over spin-diode circuits and other promising approaches based on different logic implementations: threshold logic, majority logic, and implication logic. Results present a considerable improvement over the state-of-the-art methods for both CMOS and emerging technologies applications, demonstrating the ability to handle different technologies and showing the possibility to improve technologies not explored yet.

O emprego de ferramentas de automação de projetos de circuitos integrados permitiu que projetos complexos atingissem time-to-market e custos de produção factíveis. Neste contexto, o processo de síntese lógica é uma etapa fundamental no fluxo de projeto. O passo independente de tecnologia (parte do processo de síntese lógica, que é realizada sem considerar características físicas) é tradicionalmente realizado sobre equações. O desenvolvimento de novos algoritmos de otimização multi-nível recentemente migrou para o emprego de And-Inverter Graphs (AIGs). O número de nodos e a altura de um grafo apresentam melhor correlação com os resultados em área e atraso de um circuito, se comparados com as características de outras formas de representação. Neste trabalho, um algoritmo de síntese lógica independente de tecnologia, que funciona sobre uma estrutura de AIGs, é proposto. Uma nova abordagem para a construção de AIGs, baseada no novo paradigma de síntese chamado de composição funcional, é apresentado. Esta abordagem consiste em construir o AIG final através da associação de AIGs mais simples, em uma abordagem bottom-up. Durante a construção do grafo, o método controla as características dos grafos intermediários e finais, a partir da aplicação de uma função de custo, como forma de avaliação da qualidade desses AIGs. O objetivo é a minimização do número de nodos e da altura do AIG final. Este algoritmo de síntese lógica multi-objetivo apresenta características interessantes e vantagens quando comparado com abordagens tradicionais. Além disso, este trabalho apresenta a síntese de funções com múltiplas saídas em AIGs, o que melhora a característica de compartilhamento de estruturas, melhorando o circuito resultante. Resultados mostraram a melhora em torno de 5% em número de nodos, quando comparados com os resultados obtidos com a ferramenta ABC. / The use of design automation tools has allowed complex projects to reach feasible time-to-market and cost parameters. In this context, logic synthesis is a critical procedure in the design flow. The technology independent step (part of the logic synthesis which is performed regardless any physical property) is traditionally performed over equations. The development of new multi-level optimization algorithms has recently shifted towards the use of And-Inverter-Graphs (AIGs). The number of nodes and the graphs depth in AIGs present better correlation with resulting circuit area and delay than any characteristic of other representations. In this work, a technology independent synthesis algorithm that works on top of an AIG data structure is proposed. A novel approach for AIG construction, based on a new synthesis paradigm called functional composition, is introduced. This approach consists in building the final AIG by associating simpler AIGs, in a bottom-up approach. The method controls, during the graphs construction, the characteristics of final and intermediate graphs by applying a cost function as a way to evaluate the quality of those AIGs. The goal is to minimize the number of nodes and the depth of the final AIG. This multi-objective synthesis algorithm has presented interesting features and advantages when compared to traditional approaches. Moreover, this work presents a method for AIGs construction for multiple output functions, which enhances structural sharing, improving the resulting circuit. Results have shown an improvement of around 5% in number of nodes when compared to ABC tool.

Este trabalho apresenta a composição funcional (CF) como um novo paradigma para realização da síntese lógica de blocos combinacionais. CF usa uma abordagem ascendente para sintetizar funções Booleanas, sendo capaz de avaliar os custos das funções intermediárias e explorando dessa forma um grande número de combinações diferentes de funções candidatas. Há vantagens interessantes quando comparado à abordagem descendente da decomposição funcional. CF apresenta grande flexibilidade para criar algoritmos com resultados ótimos ou subótimos para diferentes aplicações. A estratégia proposta apresenta bons resultados para síntese de funções Booleanas visando diferentes tecnologias. CF é baseado nos seguintes princípios: (1) representação de funções lógicas como um par ligado com representações funcional e estrutural; (2) o algoritmo começa de um conjunto de funções iniciais; (3) funções mais simples são associadas para criar funções mais complexas; (4) existe uma ordem parcial que permite o uso da programação dinâmica; (5) um conjunto de funções permitidas pode ser mantido para reduzir o tempo de execução/consumo de memória. Este trabalho apresenta algoritmos de composição funcional para fatoração Booleana, incluindo fatoração ótima, fatoração considerando o operador OU-exclusivo, computação de cadeias mínimas de decisão e síntese de funções considerando somente portas lógicas majoritárias e inversores. / This work presents functional composition (FC) as a new paradigm for combinational logic synthesis. FC is a bottom-up approach to synthesize Boolean functions, being able to evaluate the cost of intermediate sub-functions, exploring a larger number of different candidate combinations. These are interesting advantages when compared to the top-down behavior of functional decomposition. FC presents great flexibility to implement algorithms with optimal or suboptimal results for different applications. The proposed strategy presents good results for the synthesis of Boolean functions targeting different technologies. FC is based on the following principles: (1) the representation of logic functions is done by a bonded pair of functional and structural representations; (2) the algorithm starts from a set of initial functions; (3) simpler functions are associated to create more complex ones; (4) there is a partial order, enabling dynamic programming; (5) a set of allowed functions can be used in order to reduce execution time/memory consumption. This work presents functional composition algorithms for Boolean factoring, including optimal factoring, Boolean factoring considering the exclusive-OR operator, minimum decision chain computation and synthesis of functions considering only majority and inverter logic gates.