First-Order Logical Equations with Parameter and their Exhaustive Search Solutions

The article deals with logical equations with a parameter and their algorithmic solutions on the example of the first-order logical tasks of the Unified State Exam (USE/EGE) in computer science. The introduction shows the theoretical part used in this paper to solve tasks: first-order logic, mathematical programming and optimization, features of tasks discussed. Programming language solutions and their features are shown for first-order logical tasks on intervals, discrete sets, divisibility, bitwise conjunction, and multiple variables. The discussed solutions of the tasks are presented for the first time in print.