Local Constructive Set Theory and Inductive. Definitions. Peter Aczel. 1 Introduction. Local Constructive Set Theory (LCST) is intended to be a local filexlib. The Generalised Type-Theoretic Interpretation of Constructive Set Theory. Author(s): Nicola Gambino and Peter Aczel. Source: The Journal of Symbolic Logic,
CST Book draft. Peter Aczel and Michael Rathjen The general topic of Constructive Set Theory originated in the seminal 1975 paper.
ACZEL, The strength of Martin-Lof's intuitionistic type theory with one universe. Report No.2 of Dept. Philosophy, University of Helsinki (1977) pp.1-32. M.
PDF | The paper furnishes realizability models of constructive Zermelo-Fraenkel set theory, CZF, which also validate Brouwerian principles such as the.
Notes on Constructive Set Theory. Peter Aczel*and Michael Rathjen¾. . Contents. 1 Introduction. 1-1. 2 Some Axiom Systems.
Abstract. We present a generalisation of the type-theoretic interpre- tation of constructive set theory into Martin-Löf type theory. The.
Notes on Constructive Set Theory. DRAFT. Peter Aczel and Michael Rathjen. . Contents. 1 Introduction. 5. 2 Intuitionistic Logic.
Aczel's interpretation of CZF in constructive type theory is given by interpeting sets as trees in type theory. That is, in constructive type This paper shows that constructive set theory with an axiom asserting the existence of a Mahlo set has a realizability interpretation in an extension of
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