In mathematical logic, the calculus of structures is a proof calculus with deep inference for studying the structural proof theory of noncommutative logic. The calculus has since been applied to study linear logic, classical logic, modal logic, and process calculi, and many benefits are claimed to follow in these investigations from the way in which deep inference is made available in the calculus.
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hypersequents, the calculusofstructures, and bunched implication. Propositional proof system Proof nets Cirquent calculusCalculusofstructures Formal proof...
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations...
notion of normal form in term rewriting. The term structure in structural proof theory comes from a technical notion introduced in the sequent calculus: the...
proof calculus, the calculusofstructures to accommodate the calculus. The principal novelty of the calculusofstructures was its pervasive use of deep...
Multivariable calculus (also known as multivariate calculus) is the extension ofcalculus in one variable to calculus with functions of several variables:...
typed lambda calculus ( λ → {\displaystyle \lambda ^{\to }} ), a form of type theory, is a typed interpretation of the lambda calculus with only one...
Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional...
Placement (AP) Calculus (also known as AP Calc, Calc AB / BC, AB / BC Calc or simply AB / BC) is a set of two distinct Advanced Placement calculus courses and...
breaks with the classical sequent calculus by generalising the notion ofstructure to permit inference to occur in contexts of high structural complexity. The...
study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural...
fundamental theorem ofcalculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each point...
Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application...
Structures. Handbook of Logic in Computer Science. Vol. 2. Oxford University Press. pp. 117–309. ISBN 9780198537618. Brandl, Helmut (2022). Calculus of...
Discrete calculus or the calculusof discrete functions, is the mathematical study of incremental change, in the same way that geometry is the study of shape...
Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals...
type of manifold that is locally similar enough to a vector space to allow one to apply calculus. Any manifold can be described by a collection of charts...
logic”. Logic Journal of the IGPL 20 (2012), pp. 317–330. W.Xu and S.Liu, “Cirquent calculus system CL8S versus calculusofstructures system SKSg for propositional...
The Knights of the Lambda Calculus is a semi-fictional organization of expert Lisp and Scheme hackers. The name refers to the lambda calculus, a mathematical...
The propositional calculus is a branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes...
known as renal calculus disease, nephrolithiasis or urolithiasis, is a crystallopathy where a solid piece of material (renal calculus) develops in the...
In mathematics, Ricci calculus constitutes the rules of index notation and manipulation for tensors and tensor fields on a differentiable manifold, with...
process of computing an integral, is one of the two fundamental operations ofcalculus, the other being differentiation. Integration was initially used to solve...
examples of process calculi include CSP, CCS, ACP, and LOTOS. More recent additions to the family include the π-calculus, the ambient calculus, PEPA, the...
The SKI combinator calculus is a combinatory logic system and a computational system. It can be thought of as a computer programming language, though...
context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis...
massive parallelism. Interaction nets are at the heart of many implementations of the lambda calculus, such as efficient closed reduction and optimal, in...