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» Heyting-valued interpretations for Constructive Set Theory
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JAPLL
2006
87views more  JAPLL 2006»
13 years 5 months ago
Is ZF a hack?: Comparing the complexity of some (formalist interpretations of) foundational systems for mathematics
This paper presents Automath encodings (which also are valid in LF/P) of various kinds of foundations of mathematics. Then it compares these encodings according to their size, to f...
Freek Wiedijk
ECIS
2004
13 years 6 months ago
Change management: the contribution of personal construct theory (PCT)
This paper explores the use of two complementary approaches, each stemming from Personal Construct Theory (PCT), to investigate the interdependence of organizations and informatio...
Laurence Brooks, Christopher J. Davis, Mark Lycett
TYPES
2000
Springer
13 years 8 months ago
Collection Principles in Dependent Type Theory
We introduce logic-enriched intuitionistic type theories, that extend intuitionistic dependent type theories with primitive judgements to express logic. By adding type theoretic ru...
Peter Aczel, Nicola Gambino
CONCUR
2010
Springer
13 years 6 months ago
Theory by Process
Abstract. Theories defined in a process model are formalized and studied. A theory in a process calculus is a set of perpetually available processes with finite interactability, ea...
Yuxi Fu
BSL
2004
100views more  BSL 2004»
13 years 5 months ago
Forcing in proof theory
Paul Cohen's method of forcing, together with Saul Kripke's related semantics for modal and intuitionistic logic, has had profound effects on a number of branches of mat...
Jeremy Avigad