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Type theory
Known as:
System of types
, Typed logic
, Type-theoretic
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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 type
Automated proof checking
Bounded quantifier
Brouwer–Heyting–Kolmogorov interpretation
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Review
2009
Review
2009
The TPTP Problem Library and Associated Infrastructure
G. Sutcliffe
Journal of automated reasoning
2009
Corpus ID: 22380105
This paper describes the First-Order Form (FOF) and Clause Normal Form (CNF) parts of the TPTP problem library, and the…
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Highly Cited
2008
Highly Cited
2008
Contextual modal type theory
Aleksandar Nanevski
,
F. Pfenning
,
B. Pientka
TOCL
2008
Corpus ID: 1733953
The intuitionistic modal logic of necessity is based on the judgmental notion of categorical truth. In this article we…
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Highly Cited
2007
Highly Cited
2007
Towards a practical programming language based on dependent type theory
Ulf Norell
2007
Corpus ID: 118357515
Dependent type theories have a long history of being used for theorem proving. One aspect of type theory which makes it very…
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Review
2003
Review
2003
Types and programming languages: the next generation
B. Pierce
18th Annual IEEE Symposium of Logic in Computer…
2003
Corpus ID: 5088113
Summary form only given. This tutorial surveys the state of the art in type systems for programming languages, focusing on the…
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Highly Cited
2001
Highly Cited
2001
Categorical Logic and Type Theory
B. Jacobs
Studies in Logic and the Foundations of…
2001
Corpus ID: 117187830
Highly Cited
1990
Highly Cited
1990
Programming in Martin-Löf's Type Theory
Bengt Nordström
,
Kent Petersson
,
Jan M. Smith
1990
Corpus ID: 116906320
data type, 179 abstraction, 14 Abstraction rule, 143 absurdity, 43 append, 68 application, 13 Application rule, 143 apply, 48…
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Highly Cited
1990
Highly Cited
1990
Programming in Martin-Lo¨f's type theory: an introduction
Bengt Nordström
,
Kent Petersson
,
Jan M. Smith
1990
Corpus ID: 122377504
Part 1 Polymorphic sets: the semantics of the judgement forms general rules enumeration sets Cartesian product of a family of…
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Highly Cited
1986
Highly Cited
1986
An introduction to mathematical logic and type theory - to truth through proof
Peter B. Andrews
Computer science and applied mathematics
1986
Corpus ID: 27176176
This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax…
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Highly Cited
1950
Highly Cited
1950
Completeness in the theory of types
L. Henkin
Journal of Symbolic Logic (JSL)
1950
Corpus ID: 36309665
The first order functional calculus was proved complete by Gödel in 1930. Roughly speaking, this proof demonstrates that each…
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Highly Cited
1940
Highly Cited
1940
A formulation of the simple theory of types
A. Church
Journal of Symbolic Logic (JSL)
1940
Corpus ID: 15889861
The purpose of the present paper is to give a formulation of the simple theory of types which incorporates certain features of…
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