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In computer science and mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable.It generalizes the Boolean satisfiability problem (SAT) to more complex formulas involving real numbers, integers, and/or various data structures such as lists, arrays, bit vectors, and strings.
Example Boolean circuit. The ∧ nodes are AND gates, the ∨ nodes are OR gates, and the ¬ nodes are NOT gates. In computational complexity theory and circuit complexity, a Boolean circuit is a mathematical model for combinational digital logic circuits.
Race condition in a logic circuit. Here, ∆t 1 and ∆t 2 represent the propagation delays of the logic elements. When the input value A changes from low to high, the circuit outputs a short spike of duration (∆t 1 + ∆t 2) − ∆t 2 = ∆t 1.
The logic of here and there (HT, also referred as Smetanov logic SmT or as Gödel G3 logic), introduced by Heyting in 1930 [21] as a model for studying intuitionistic logic, is a three-valued intermediate logic where the third truth value NF (not false) has the semantics of a proposition that can be intuitionistically proven to not be false ...
In this version the main data type for symbolic computation was the Sum class. The list of available classes included Verylong : An unbounded integer implementation; Rational : A template class for rational numbers; Quaternion : A template class for quaternions; Derive : A template class for automatic differentiation
Forcing (mathematics) Boolean-valued model; Kripke semantics. General frame; Predicate logic. First-order logic. Infinitary logic; Many-sorted logic; Higher-order logic. Lindström quantifier; Second-order logic; Soundness theorem; Gödel's completeness theorem. Original proof of Gödel's completeness theorem; Compactness theorem; Löwenheim ...
In theoretical computer science, a circuit is a model of computation in which input values proceed through a sequence of gates, each of which computes a function. Circuits of this kind provide a generalization of Boolean circuits and a mathematical model for digital logic circuits. Circuits are defined by the gates they contain and the values ...
Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic.It was introduced by Moses Schönfinkel [1] and Haskell Curry, [2] and has more recently been used in computer science as a theoretical model of computation and also as a basis for the design of functional programming languages.