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Type theory

Known as: System of types, Typed logic, Type-theoretic 
In mathematics, logic, and computer science, a type theory is any of a class of formal systems, some of which can serve as alternatives to set theory… 
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Related topics

Related topics

50 relations
Abstract data typeAutomated proof checkingBounded quantifierBrouwer–Heyting–Kolmogorov interpretation

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Structural Resolution: a Framework for Coinductive Proof Search and Proof Construction in Horn Clause Logic
Logic programming (LP) is a programming language based on first-order Horn clause logic that uses SLD-resolution as a semi… 
2003
2003
On nonnegative entire solutions of second-order semilinear elliptic systems
We consider the second-order semilinear elliptic system ui = Pi(x)u i i+1 in R N , i = 1,2,...,m with nonnegative continuous… 
2001
2001
A Recipe for Raw Types
The design of GJ (Bracha, Odersky, Stoutamire and Wadler), an extension of Java with parametric polymorphism, was significantly… 
2001
2001
A Framework for Analysis of Typed Logic Programs
The paper presents a novel approach to the analysis of typed logic programs. We assume regular type descriptions of logic program… 
1998
1998
Polytypic Abstraction in Type Theory
This paper is concerned with formalizations and veriications in type theory that are abstracted with respect to a large class of… 
1994
1994
COMBINING TYPE CLASSES AND EXISTENTIAL TYPES
This paper demonstrates that the novel combination of type classes and existential types adds significant expressive power to a… 
1994
1994
Distribution, Collection and Quantification: A Type-Logical Account of Plurality
In this paper, we argue that an adequate approach to plural noun phrases is best formulated logically. We claim that the logical… 
1991
1991
How to Prove Higher Order Theorems in First Order Logic
In this paper we are interested in using a first order theorem prover to prove theorems that are formulated in some higher order… 
1972
1972
Bertrand Russell on his paradox and the multiplicative axiom. An unpublished letter to Philip Jourdain
1962
1962
Processes of conjugation in Paramecium putrinum Clap. and Lachm. III. Multiple system of types of mating in P. putrinum