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A Basic Extended Simple Type Theory (2001)

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by William M. Farmer
Citations:2 - 1 self
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BibTeX

@MISC{Farmer01abasic,
    author = {William M. Farmer},
    title = {A Basic Extended Simple Type Theory},
    year = {2001}
}

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Abstract

This paper presents an extended version of Church's simple type theory called Basic Extended Simple Type Theory (bestt). By adding type variables and support for reasoning with tuples, lists, and sets to simple type theory, it is intended to be a practical logic for formalized mathematics. 1

Citations

729 A formulation of the simple theory of types - Church - 1940
466 Introduction to HOL : a theorem proving environment for higher-order logic - Gordon, Melham - 1993
386 Isabelle: A generic theorem prover - Paulson - 1994
279 An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof - Andrews - 1986
189 PVS: Combining specification, proof checking, and model checking - Owre, Rajan, et al. - 1996
93 Mathematical logic as based on the theory of types - Russell - 1908
87 Principia Mathematica - Whitehead, Russell - 1962
76 imps: An Interactive Mathematical Proof System - Farmer, Guttman, et al. - 1993
72 A partial functions version of Church's simple theory of types - Farmer - 1990
39 The foundations of mathematics - Ramsey - 1926
30 Elements of ML Programming - Ullman - 1998
25 A theory of propositional types - Henkin - 1963
23 PVS: Combining speci proof checking, and model checking - Owre, Rajan, et al. - 1996
13 System description: TPS: A theorem proving system for type theory - Andrews, Bishop, et al. - 2000
11 A reduction of the axioms for the theory of propositional types - Andrews - 1963
8 Formalizing undefinedness arising in calculus - Farmer - 2004
7 Thayer F'abrega. imps: An updated system description - Farmer, Guttman, et al. - 1996
2 Antynomje logikiformalnej - Chwistek - 1921
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