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Proving Nontermination Using Max SMT Daniel Larraz1, Faustus Nimkar2, Albert Oliveras1, Eric RodrguezCarbonell1, and Albert Rubio1 1Universitat Polio Monica de Catalonia, Barcelona 2 University College
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To fill out proving non-termination using max-smt, you can follow these steps:

01
Identify the problem: Determine the program or code for which you want to prove non-termination using max-smt. This could be a section of code in a larger program or an entire program.
02
Define the constraints: Specify the constraints that will be used to represent the termination of the program. Max-smt, or maximum satisfiability modulo theories, is a method that combines satisfiability modulo theories (SMT) with optimization. It allows us to define logical constraints and find a satisfying solution that maximizes a specified objective.
03
Choose suitable assertions: Formulate assertions that represent the desired behavior of the program, including the properties that should hold at different program states. These assertions will be used to create logical constraints.
04
Convert the problem to SMT: Transform the non-termination problem into a satisfiability modulo theories problem by encoding the program and its assertions using an SMT language such as SMT-LIB. This encoding will represent the program's states, transitions, and termination conditions in a logical formula.
05
Utilize max-smt: Apply the max-smt solver to the SMT problem to find a satisfying solution that maximizes the specified objective. In the case of non-termination, the objective is to maximize the iterations or steps that the program takes before terminating.
06
Analyze the results: Examine the solution obtained from the max-smt solver. If the solution assigns values to the program variables that violate the specified termination conditions or assertions, then non-termination has been proven. On the other hand, if a satisfying solution is found that respects the termination conditions, then termination cannot be proven using max-smt.
Regarding who needs proving non-termination using max-smt, it can be beneficial for researchers, developers, and software engineers who want to ensure that their programs do not run indefinitely. By utilizing max-smt, they can verify that specific termination conditions are met, which is essential for the correctness and reliability of software systems. Additionally, it can be useful for those interested in program analysis, formal verification, and software testing to gain insights into the behavior and termination properties of programs.
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Proving non-termination using max-smt refers to a technique that uses maximum satisfiability solvers to demonstrate that a program does not terminate.
Programmers or researchers working on analyzing the termination behavior of software programs may be required to file proving non-termination using max-smt.
To fill out proving non-termination using max-smt, one needs to provide the program code, specify the termination properties to be checked, and run the max-smt solver to analyze the termination status.
The purpose of proving non-termination using max-smt is to verify that a given program does not halt or terminate under certain conditions, aiding in debugging and optimization.
The report on proving non-termination using max-smt should include the program code, termination properties, details of the max-smt solver used, and the results of the analysis.
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