Many-sorted logic can reflect formally our intention not to handle the universe as a homogeneous collection of objects, but to partition it in a way that...

is paid to the sorts. A many-sorted logic however naturally leads to a type theory. As Bart Jacobs puts it: "A logic is always a logic over a type theory...

there are only finitely many sorts in a theory, many-sorted first-order logic can be reduced to single-sorted first-order logic.: 296–299  One introduces...

{\displaystyle n} -ary relation. For many-sorted logic and for many-sorted structures, signatures must encode information about the sorts. The most straightforward...

with these semantics is equivalent to many-sorted first-order logic, rather than being stronger than first-order logic. In particular, HOL with Henkin semantics...

channel and food website Many-sorted logic Sort (disambiguation) This disambiguation page lists articles associated with the title Sorted. If an internal link...

certain sort. One example of many-sorted logic is for planar Euclidean geometry[clarification needed]. There are two sorts; points and lines. There is...

declarations are called overloaded. See many-sorted logic for more information, including extensions of the many-sorted framework described here. Mathematical...

that adheres to the logic programming paradigm. It is a strongly typed language, the type system being based on many-sorted logic with parametric polymorphism...

as the predicate in the conclusion of a syllogism. many-sorted logic A variant of first-order logic that allows for multiple domains of discourse, with...

extensions into a specific form of logic, many-sorted logic. Beyond many-sorted logic, its topics include second-order logic (including its incompleteness...

In logic and mathematics, second-order logic is an extension of first-order logic, which itself is an extension of propositional logic. Second-order logic...

frame Predicate logic First-order logic Infinitary logic Many-sorted logic Higher-order logic Lindström quantifier Second-order logic Soundness theorem...

such things are usually treated within formal logic and set theory. Schrödinger logics are many-sorted logics in which the expression x = y is not a well-formed...

switching to insertion sort once the data is small enough. Second, the algorithms often perform poorly on already sorted data or almost sorted data – these are...

Template Library SORT (journal) Sort (mathematical logic), a domain in a many-sorted structure Sort (typesetting), a piece of metal type Sort, Lleida, a town...

order logic, HiLog can be embedded into this logic. HiLog was first described in 1989. It was later extended in the direction of many-sorted logic. The...

until the deck is sorted. In a worst-case scenario with this version, the random source is of low quality and happens to make the sorted permutation unboundedly...

predicate logic with cylindric set algebra. (For more details, see § Further reading.) Cylindric algebras have been generalized to the case of many-sorted logic...

ways to axiomatize this. Bernays used many-sorted logic with two sorts: classes and sets. Gödel avoided sorts by introducing primitive predicates: C...

techniques to improve the search behaviour. Since version 2.0, E supports many-sorted logic. E is implemented in C and portable to most UNIX variants and the...

In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the...

change substantially. For instance many-sorted predicate logic is considered a just variation of predicate logic. This classification ignores however...

ultrasound imaging, two-dimensional laser fluorescence imaging, and many-sorted logic. In computing and software, SRI developed a multimedia electronic...

beginning of the topological sort or the node has no outgoing edges (i.e., a leaf node): L ← Empty list that will contain the sorted nodes while exists nodes...

Modal logic is a kind of logic used to represent statements about necessity and possibility. It plays a major role in philosophy and related fields as...

insertion sort on it. Stopping the recursion early leaves the array k-sorted, meaning that each element is at most k positions away from its final sorted position...

different designs, usually with compatible logic levels and power supply characteristics within a family. Many logic families were produced as individual components...

order-sorted logic, thereby boiling it down an order of magnitude, as many unary predicates turned into sorts. Smolka generalized order-sorted logic to allow...

of an unsorted list by first sorting the list (the expensive portion), then pulling out the middle element in the sorted list (the cheap portion). This...