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A Formally Spec ed Program Logic for Higher-Order Procedural Variables and non-local Jumps T. Roland December 2011 Abstract We formally spec ed a program logic for higher-order procedural variables
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It is shown that by using non-local jumps, we can write many more programs, with many more types. W. Le, J. Le, H. Le, H. K. Le, M. Le, T. Le, R. A. Lo, T. K. Li and R. Y. Lo August 2012 Proposal for an FSM Formally Spec ed Program Logic for Higher-order Procedural Variables with Non-Procural Jumps for the DSP and Data Storage Platform J. A. Morin August 2012 Theoretical Foundations of Well-Typed Programming and its Implementation on a Digital Systems Design Platform H. Le, W. Le, M. Le, J. Le and T. L. Le March 12th 2012 Foundations of a Program Logic for Higher-Order Procedural Variables and Non-Local Jumps for the DSP and Data Storage Platform T. Le, R. Le, J. Le, H. Le January 28, 2013 Abstract: As a consequence of the work of the present proposal, we propose a formal logic that can be implemented on a DSP and Data Storage Platform that is based on the idea of a data structure or data structure set which encapsulates its own representation, with respect to its type and with respect to its internal state, in which each component is independent and, therefore, can be described by an abstract system, according to a well-typed programming methodology. The implementation is based on a system of FSM, and the type theory for FSM and FSM systems. This paper describes the design and verification of the FSM and the type theory for its analysis, and the design of several well-typed programs, i.e., programs with a specified type, written according to the type theory. It also shows that, in particular, certain programs (e.g., one-dimensional arrays, lists, tables, and more) can be formally specified in terms of the well-typed programming methodology in such a way that the resulting well-typed programs and proofs could be executed. We also discuss a formal language for formal proofs of functions with type and their well-typed implementation: A Generic Proof Representation (PRI). The main application concerns the implementation of a theorem proper for the type theory. Furthermore, we discuss the design and verification of a formal logic for type theories, which is based on the ideas of FSM.

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A formally specified program is a program that is described in a formal language, which allows for precise and unambiguous specification of its behavior.
The requirement to file a formally specified program depends on the specific regulations or policies in place. In some cases, certain government agencies or organizations may require the submission of formally specified programs for approval or compliance purposes.
Filling out a formally specified program involves providing a detailed description of the program's logic, functions, and algorithms using a formal language such as a programming language or a mathematical notation.
The purpose of a formally specified program is to provide a clear and unambiguous description of a program's behavior, allowing for easier analysis, verification, and understanding of its functionalities.
The information that must be reported on a formally specified program may vary depending on the specific requirements or guidelines set forth by the governing body. However, it typically includes a description of the program's functionalities, inputs, outputs, algorithms, and any relevant constraints or assumptions.
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