A Computing Procedure for Quantification Theory
Journal of the ACM (JACM)
A machine program for theorem-proving
Communications of the ACM
An Investigation of the Laws of Thought
An Investigation of the Laws of Thought
A Propositional Programming Environment for Linear Algebra
Fundamenta Informaticae - Topics in Logic, Philosophy and Foundations of Mathematics and Computer Science. In Recognition of Professor Andrzej Grzegorczyk
Bounded model checking for parametric timed automata
Transactions on Petri Nets and Other Models of Concurrency V
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In this paper we pursue the propositional calculus and the SATisfiability solvers as a powerful declarative programming environment that makes it possible to create and run the propositional declarative programs for computational tasks in various areas of mathematics. We report some experimental results on our application of the propositional SATisfiability environment to computing some simple orthogonal matrices and the orders of some orthogonal groups. Some encouraging (and not very encouraging) experiments are reported for the proposed propositional search procedures using off-the-shelf general-purpose SAT solvers. Our new software toolkit SAT4Alg is announced.