Calculus of structures

Calculus of structures

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.

References

* Alessio Guglielmi, "A System of Interaction and Structure". ACM Transactions on Computational Logic, 2004.
* Kai Brünnler, "Deep Inference and Symmetry in Classical Proofs". Logos Verlag, 2004.

External links

* [http://alessio.guglielmi.name/res/cos/ Calculus of structures homepage]
* [http://www.informatik.uni-leipzig.de/~ozan/maude_cos.html CoS in Maude] : page documenting implementations of logical systems in the calculus of structures, using the Maude system.


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать курсовую

Look at other dictionaries:

  • Proof calculus — In mathematical logic, a proof calculus corresponds to a family of formal systems that use a common style of formal inference for its inference rules. The specific inference rules of a member of such a family characterize the theory of a… …   Wikipedia

  • Propositional calculus — In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… …   Wikipedia

  • Pi-calculus — In theoretical computer science, the pi calculus is a process calculus originally developed by Robin Milner, Joachim Parrow and David Walker as a continuation of work on the process calculus CCS (Calculus of Communicating Systems). The aim of the …   Wikipedia

  • π-calculus — In theoretical computer science, the π calculus (or pi calculus) is a process calculus originally developed by Robin Milner, Joachim Parrow and David Walker as a continuation of work on the process calculus CCS (Calculus of Communicating Systems) …   Wikipedia

  • Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

  • Vector calculus — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Simply typed lambda calculus — The simply typed lambda calculus (lambda^ o) is a typed interpretation of the lambda calculus with only one type combinator: o (function type). It is the canonical and simplest example of a typed lambda calculus. The simply typed lambda calculus… …   Wikipedia

  • SKI combinator calculus — is a computational system that is a reduced, untyped version of Lambda calculus. All operations in Lambda calculus are expressed in SKI as binary trees whose leaves are one of the three symbols S, K, and I (called combinators). In fact, the… …   Wikipedia

  • List of terms relating to algorithms and data structures — The [http://www.nist.gov/dads/ NIST Dictionary of Algorithms and Data Structures] is a reference work maintained by the U.S. National Institute of Standards and Technology. It defines a large number of terms relating to algorithms and data… …   Wikipedia

  • Fitch-style calculus — is a method for constructing formal proofs used in first order logic. It was invented by American logician Frederic Brenton Fitch. Fitch style proofs involve the atomic sentences of first order logic, which are arranged in premises, lemmas, and… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”