Abstract: Methods and apparatus of associating by a computerized system, labels with the order of execution of steps of solving a puzzle, game or activity, for one or more parts of one or more solution-paths for the puzzle, game or activity are described. Execution of the puzzle solution and also the particular sequence of steps in the solution paths are used to evaluate a relative efficiency of one sequence of steps over the other sequence. By quantifying efficiency of the solution path it becomes possible to logically and objectively compare the efficiency of two or more solutions or completions of the puzzle, game or activity.

Abstract: Methods and apparatus of associating by a computerized system, labels with the order of execution of steps of solving a puzzle, game or activity, for one or more parts of one or more solution-paths for the puzzle, game or activity are described. Execution of the puzzle solution and also the particular sequence of steps in the solution paths are used to evaluate a relative efficiency of one sequence of steps over the other sequence. By quantifying efficiency of the solution path it becomes possible to logically and objectively compare the efficiency of two or more solutions or completions of the puzzle, game or activity.

Abstract: A class of games and activities of skill and logic, particularly puzzles based on reason and logic are described. Disclosed are a method and a system for comparing solutions to the puzzles based on the paths to solution and for completion of the activities based on the order of carrying out the steps of the activity. A number of applications of the method are disclosed for development of further puzzles and activities from the initial puzzle or activity, as well as for other enriching experiences and expressions, particularly the method of providing a priori or real time hints to a participant to solve the puzzle or advance in the activity. Also disclosed is a particular, novel method for participation by remote audience in logic and skill based activities such as creating or improving known logic puzzles and wagering.

Abstract: A class of games and activities of skill and logic, particularly puzzles based on reason and logic are described. Disclosed are a method and a system for comparing solutions to the puzzles based on the paths to solution and for completion of the activities based on the order of carrying out the steps of the activity. A number of applications of the method are disclosed for development of further puzzles and activities from the initial puzzle or activity, as well as for other enriching experiences and expressions, particularly the method of providing a priori or real time hints to a participant to solve the puzzle or advance in the activity. Also disclosed is a particular, novel method for participation by remote audience in logic and skill based activities such as creating or improving known logic puzzles and wagering.

Abstract: A class of games and activities of skill and logic, particularly puzzles based on reason and logic are described. Disclosed are a method and a system for comparing solutions to the puzzles based on the paths to solution and for completion of the activities based on the order of carrying out the steps of the activity.

Abstract: A system and method of communication based on the Reverse Multiple-Choice Method of teaching and testing is disclosed where at least one communicant is a machine. The method is applicable for training a machine for knowledge engineering and artificial intelligence oriented applications, as well as for a trained machine to assist a human being engaged in the activity of teaching or testing.

Abstract: A system and method of communication based on the Reverse Multiple-Choice Method of teaching and testing is disclosed where at least one communicant is a machine. The method is applicable for training a machine for knowledge engineering and artificial intelligence oriented applications, as well as for a trained machine to assist a human being engaged in the activity of teaching or testing.

Abstract: The present invention pertains to a class of games and activities of skill and logic, particularly to puzzles based on reason and logic. Disclosed are a method and a system for comparing solutions to the puzzles based on the paths to solution and for completion of the activities based on the order of carrying out the steps of the activity. A number of applications of the method are disclosed for development of further puzzles and activities from the initial puzzle or activity, as well as for other enriching experiences and expressions, particularly the method of providing a priori or real time hints to a participant to solve the puzzle or advance in the activity.