Umair Siddique

Safety assurance is a paramount factor in the large-scale deployment of various autonomous systems (e.g., self-driving vehicles). However, the execution of safety engineering practices and processes have been challenged by an increasing complexity of modern safety-critical systems. This attribute has become more critical for autonomous systems that...

Due to major breakthroughs in software and engineering technologies, embedded systems are increasingly being utilized in areas ranging from aerospace and next-generation transportation systems, to smart grid and smart cities, to health care systems, and broadly speaking to what is known as Cyber-Physical Systems (CPS). A CPS is primarily composed o...

Due to major breakthroughs in software and engineering technologies, embedded systems are increasingly being utilized in areas ranging from aerospace and next-generation transportation systems, to smart grid and smart cities, to health care systems, and broadly speaking to what is known as Cyber-Physical Systems (CPS). A CPS is primarily composed o...

Due to major breakthroughs in software and engineering technologies, embedded systems are increasingly being utilized in areas ranging from aerospace and next-generation transportation systems, to smart grid and smart cities, to health care systems, and broadly speaking to what is known as Cyber-Physical Systems (CPS). A CPS is primarily composed o...

Recent developments in autonomous driving, vehicle-to-vehicle communication and smart traffic controllers have provided a hope to realize platoon formation of vehicles. The main benefits of vehicle platooning include improved safety, enhanced highway utility, efficient fuel consumption and reduced highway accidents. One of the central components of...

Recent developments in autonomous driving, vehicle-to-vehicle communication and smart traffic controllers have provided a hope to realize platoon formation of vehicles. The main benefits of vehicle platooning include improved safety, enhanced highway utility, efficient fuel consumption and reduced highway accidents. One of the central components of...

Recent developments in autonomous driving, vehicle-to-vehicle communication and smart traffic controllers have provided a hope to realize platoon formation of vehicles. The main benefits of vehicle platooning include improved safety, enhanced highway utility, efficient fuel consumption and reduced highway accidents. One of the central components of...

System biology provides the basis to understand the behavioral properties of complex biological organisms at different levels of abstraction. Traditionally, the analysis of systems biology based models of various diseases has been carried out by paper-and-pencil based proofs and simulations. However, these methods cannot provide accurate analysis,...

System biology provides the basis to understand the behavioral properties of complex biological organisms at different levels of abstraction. Traditionally, analysing systems biology based models of various diseases have been carried out by paper-and-pencil based proofs and simulations. However, these methods cannot provide an accurate analysis, wh...

System-level modeling and analysis of biological phenomena have become an important research topic amongst different fields including mathematics, computer science, electrical and system engineering. This is a consequence of the recent development in these fields which can be utilized to understand the dynamics of complex biological organisms such...

Optical systems are widely used in a wide range of safety, cost and mission-critical applications including biomedical devices and high-speed communication networks. Therefore, modeling and verification of such high-consequence systems is crucial for both theoretical and application viewpoints. In this paper, we propose a formal methods based appro...

Analysis of complex security and privacy policies (e.g., information flow) involves reasoning about multiple execution traces. This stems from the fact that an external observer may gain knowledge about the system through observing and comparing several executions. Monitoring of such policies is in particular challenging because most existing monit...

Network dependability reflects the ability to deliver continuous services even after failures, such as man-made or natural disturbances, e.g., storms, hurricanes, and floods, etc. In the last decade, optical networks have been increasingly deployed to provide multicast traffic in metropolitan areas. In this paper, we provide a formal specification...

Signal-flow-graph theory provides an efficient framework to model various engineering and physical systems at a higher-level of abstraction. In this paper, we present the formalization of the signal-flow-graph theory with an ultimate goal to conduct the formal analysis of engineering systems within a higher-order-logic theorem prover. In particular...

Optics technology is being increasingly used in mainstream industrial and research domains such as terrestrial telescopes, biomedical imaging and optical communication. One of the most widely used modeling approaches for such systems is Gaussian optics, which describes light as a beam. In this paper, we propose to use higher-order-logic theorem pro...

Power electronics is an active area of research which has widespread applications in safety and cost critical domains such as power grids, biomedical devices and avionics systems. The complexity of power electronic systems is rapidly reaching a point where it will become difficult to verify the correctness and robustness of underlying designs. In t...

In this paper, we report our first experiments in using learning-assisted automated reasoning for the formal analysis of physical systems. In particular, we investigate the performance of automated proofs as compared to interactive ones done in HOL for the verification of ray and electromagnetic optics. Apart from automation, we also provide brief...

Photonic signal processing is an emerging area of research, which provides unique prospects to build high-speed communication systems. Recent advancements in fabrication technology allow on-chip manufacturing of signal processing devices. This fact has lead to the widespread use of photonics in industrial critical applications such as telecommunica...

The prominent advantages of photonics are high bandwidth, low power and the possibility of better electromagnetic interference immunity. As a result, photonics technology is increasingly used in ubiquitous applications such as telecommunication, medicine, avionics and robotics. One of the main critical requirements is to verify the corresponding fu...

Fractional calculus is a generalization of classical theories of integration and differentiation to arbitrary order (i.e., real or complex numbers). In the last two decades, this new mathematical modeling approach has been widely used to analyze a wide class of physical systems in various fields of science and engineering. In this paper, we describ...

The verification of optical systems is an important issue due to their safety and financial critical nature (e.g., laser surgeries and space telescopes). Theorem proving offers an attractive solution to overcome the accuracy and soundness problems of traditional approaches like paper-and-pencil based proofs and computer simulation. However, existin...

Recent progress in nanotechnology and optical imaging offers promising features to develop effective drugs to cure chronic diseases, such as cancer and malaria. However, qualitative characterization of biological organisms (such as molecules) is the foremost requirement to identify key drug targets. One of the most widely used approaches in this do...

The behavioral characterization of biological organisms is a fundamental requirement for both the understanding of the physiological properties and potential drug designs. One of the most widely used approaches in this domain is molecular pathways, which offers a systematic way to represent and analyze complex biological systems. Traditionally, suc...

Optical systems are widely used in safety critical applications such as aerospace, telecommunication and biomedical systems. The verification of such systems is usually performed by informal techniques (e.g., numerical simulation and paper-and-pencil based proofs) which may result in erroneous designs. Interactive theorem proving has the potential...

The Gamma function is a special transcendental function that is widely used in probability theory, fractional calculus and analytical number theory. This paper presents a higher-order logic formalization of the Gamma function using the HOL4 theorem prover. The contribution of this paper can be mainly divided into two parts. Firstly, we extend the e...

A molecular pathway primarily refers to a chain of chemical reactions within a cell and their analysis plays a vital role in developing effective drugs for various human infectious diseases, such as Cancer and Malaria. However, the existing cell pathway analysis techniques, such as paper and pencil proof methods, graph theory and Petri Nets, are ei...

System analysis based on difference or recurrence equations is the most fundamental technique to analyze biological, electronic, control and signal processing systems. Z-transform is one of the most popular tool to solve such difference equations. In this paper, we present the formalization of Z-transform to extend the formal linear system analysis...

Recently, optics technology has emerged as a promising solution by resolving critical bottlenecks in conventional electronic systems. Its application domain spans over diverse fields ranging from laser surgeries to space telescopes. In this paper, we describe an ongoing project which aims at building a theorem proving based framework for the formal...

Optical systems are becoming increasingly important by resolving many bottlenecks in today's communication, electronics, and biomedical systems. However, given the continuous nature of optics, the inability to efficiently analyze optical system models using traditional paper-and-pencil and computer simulation approaches sets limits especially in sa...

Recent developments in the fabrication technology attracted the attention of optical engineers and physicists in the area of VLSI photonics. Due to the physical nature of light-wave systems and their usage in safety critical domains such as human surgeries and high budget space missions, it is indispensable to build high assurance systems. Traditio...

Optical systems are increasingly used in microsystems, telecommunication, aerospace and laser industry. Due to the complexity and sensitivity of optical systems, their verification poses many challenges to engineers. Tra­ditionally, the analysis of such systems has been carried out by paper-and-pencil based proofs and numerical computations. Howeve...

An optical resonator usually consists of mirrors or lenses which are configured in such a way that the beam of light is confined in a closed path. Resonators are fundamental components used in many safety-critical optical and laser applications such as laser surgery, aerospace industry and nuclear reactors. Due to the complexity and sensitivity of...

Information decoding and security using minimal hardware and software resources is very indispensable in mission and safety critical applications. Currently, various methodologies have been proposed in which hardware exhibits parallelism either implicitly or explicitly. In this chapter, we report an enhancement in DLX processor instruction set for...

Geometrical optics, in which light is characterized as rays, provides an efficient and scalable formalism for the modeling and analysis of optical and laser systems. The main applications of geometrical optics are in stability analysis of optical resonators, laser mode locking and micro opto-electro-mechanical systems. Traditionally, the analysis o...

Fractional calculus, which deals with the integration and differentiation of non-integer order, is widely being used these days to mathematically model many engineering and scientific systems ranging from microbiological processes to astronomical images. The efficient and accurate analysis of such systems, usually referred to as the fractional orde...

The discrete modeling formalism of René Thomas is a well known approach for the modeling and analysis of Biological Regulatory Networks (BRNs). This formalism uses a set of parameters which reflect the dynamics of the BRN under study. These parameters are initially unknown but may be deduced from the appropriately chosen observed dynamics of a BRN....

In the last two decades, formal verification has emerged as an important technique for the formal modeling and analysis of real time reactive and unpredictable systems. The main advantage of model checking over simulation based analysis is its inherent soundness and reliability of computed results. In this paper, we propose to use explicit state mo...

Information security using minimal hardware and software resources is very indispensable in mission and safety critical applications. Currently, various methodologies have been proposed in which hardware exhibits parallelism either implicitly or explicitly. In this paper, we report an enhancement in DLX processor and PicoJavaII processor instructio...

Fractional order systems, which involve integration and differentiation of non integer order, are increasingly being used in the fields of control systems, robotics, signal processing and circuit theory. Traditionally, the analysis of fractional or-der systems has been performed using paper-and-pencil based proofs or computer algebra systems. These...